Quantitative Analysis For Decision Makers 7th Edition Mik Wisniewski, Dr Farhad Shafti - Solutions

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9.8 In the nine months since new parking regulations were introduced the numbers of vehicles impounded by a city highways department were:Month 1 2 3 4 5 6 7 8 9 Vehicles 207 246 195 233 218 289 248 292 276(a) Apply the exponential smoothing model with an a value of 0.5 to predict values of the
9.7 Building on your answers to Review question 9.2 use the multiplicative decomposition model to:(a) Find the seasonal factors for each quarter.(b) Calculate the MSD for the model.(c) By contrasting your answer to part (b) with the MSD for the additive model you obtained for Review question 9.6
9.6 Draw on your answers to Review question 9.2 and apply the additive decomposition model to:(a) Identify the seasonal components for each quarter.(b) Work out the MSD for the model.
9.5 Using the multiplicative model and your answers to Review question 9.1:(a) Evaluate the recurring factors for the parts of the day.(b) Calculate the MSD for the model.(c) Compare the MSD for this model with your answer to Review question 9.4 part (b) and say which model is more appropriate for
9.4 Using the results from Review question 9.1 and applying the additive decomposition model:(a) Determine the recurring components for each part of the day.(b) Calculate the MSD for the model.
9.3 A new security system was installed at the Platia Clothing Store eight weeks ago. The numbers of items stolen from the store in the period since are:Week 1 2 3 4 5 6 7 8 Items stolen 63 56 49 45 51 36 42 37(a) Use the exponential smoothing model with a smoothing constant of 0.8 to predict
9.2 The quarterly sales (in £000) of greeting cards in a supermarket were:Quarter 1 2 3 4 Year 1 12.0 14.8 9.6 19.2 Year 2 13.1 16.3 8.2 22.8 Year 3 14.8 18.9 6.9 25.1(a) Produce a time series plot of these fi gures.(b) Work out centred four-point moving averages for this series and plot them on
9.1 A garage starts a breakdown service that offers assistance in mornings, afternoons and evenings.The numbers of call-outs during the fi rst three days of this service were:Morning Afternoon Evening Day 1 12 6 9 Day 2 15 9 12 Day 3 18 9 15(a) Plot the data over time.(b) Work out three-point
8.12 Otto Carr owns a chain of car parks in small towns. He wants to expand his business by leasing a suitable site in a city centre. There are two sites that would be appropriate. There is a sixyear lease available on the Markets site for £200,000 and a seven-year lease available on the Riverside
8.11 A Russian businessman offers a Korean car manufacturer an eight-year lease on a disused tank factory in Southern Russia. The company could refi t the factory and use it to manufacture lowcost recreational off-road vehicles for the holiday car-hire market in Southern Europe. The total cost of
8.10 The annual revenue fi gures for two large UK-based corporations over the six years from 2005 to 2010 were:2005 2006 2007 2008 2009 2010 Le Kartsvo (£bn) 21.7 23.2 22.7 24.4 28.4 28.4 Z-Vonia (£bn) 18.4 19.5 20.2 20.7 21.4 20.9 The values of the retail price index (RPI) for these years
8.9 Perry Stroiker, the builder, specialises in small-scale domestic building work, especially house extensions. He buys considerable quantities of bricks, cement mix, plasterboard and timber. The prices he paid for these commodities in 2005, 2008 and 2011 are as follows:2005 2008 2011 Bricks (per
8.8 Ricky Sadovnik, a geologist, discovered a deposit of decorative stone during a holiday in Scotland.He wants to establish a quarry to extract the stone and sell it to gardeners. The owner of the land is prepared to allow him to open and operate a quarry on the site for fi ve years for a fee of
8.7 An advertisement offers a time share investment in a luxury apartment in the Algarve region of Portugal. Investors can purchase the use of the apartment for an eight-week period each year to rent out to tourists. The cost of the time share is £15,000 for fi ve years and it is claimed that the
8.6 A media and entertainments company operates two theme parks in two different countries:Dorrogoy and Stoymost. The annual profi ts of each theme park over the fi rst fi ve years of operations, in millions of units of local currency (the Lukar in Dorrogoy and the Dyengi in Stoymost)were:2005 2010
8.5 Meg Tort makes cakes on a commercial basis for local cafés and shops. The main ingredients she buys are dried fruit, eggs and fl our. The prices of these in 2007 and 2011 were:2007 2011 Dried fruit (kg) £1.50 £2.50 Eggs (10 pack) £0.95 £1.40 Flour (kg) £0.40 £0.50(a) In 2007 Meg
8.4 A young aspiring DJ has saved up £4000 to buy the equipment she needs. She anticipates that the equipment will last for fi ve years, after which it will be obsolete and have no disposal value. During these fi ve years she believes she can use it to earn the following amounts, after allowing
8.3 Anne Teak purchased a Georgian commode for £400 in 2000. Since then she has had it valued every two years. These valuations were:Year 2002 2004 2006 2008 2010 Valuation (£) £430 £480 £490 £500 £525 The values of the Retail Price Index (RPI) for these years are:Year 2002 2004 2006 2008
8.2 An offi ce manager purchases paper and ink cartridges for printers. The prices of these items over the years 2009 to 2011 were:2009 2010 2011 Paper (per ream) £7.99 £9.99 £10.99 Cartridge £10.99 £13.49 £14.49 Calculate a simple aggregate price index for the prices in 2010 and 2011 using
8.1 A confectioner buys cocoa to use in manufacturing its products. The price it has paid per kilogram has been:Year 2005 2007 2009 2011 Cost ($) 230 290 310 330(a) Calculate a simple price index for(i) the price in 2011 relative to 2005(ii) the price in 2009 relative to 2005(iii) the price in 2011
7.12 An international road transport consultant wants to see if the extent of a country’s motorway network (in kilometres) depends on its land area (in thousands of square kilometres). She has collected fi gures for a selection of European countries:Land area 84 31 43 337 544 357 132 41 69 301
7.11 The percentages of workers in trade unions and the mean hourly wage in nine US states are:Union membership (%) 7.5 17.2 9.1 16.1 25.4 16.9 23.7 19.5 9.2 Mean hourly wage ($) 13.80 16.81 13.40 18.00 20.00 15.60 16.63 16.07 11.51(a) Which one of these should be the dependent variable (Y)?(b)
7.10 Ten popular cars were studied by a team of designers who ranked them for design and style.The same cars were studied by a team of road accident investigators who ranked them for safety.The results are set out below:Design ranking 1 2 3 4 5 6 7 8 9 10 Safety ranking 4 6 1 5 2 3 10 7 9 8 Work
7.9 Eight companies dominate a particular industry. The annual revenue and annual gross profi t for these companies are as follows:Company Revenue (£m) Gross profi t (£m)Mirovoy 2815 322 Materique 1139 198 Strannar 626 73 Malenky 557 41 Ribar 291 47 Krevetka 172 25 Meesh 144 33 Blochar 85 9(a)
7.8 An economist studying the market for designer watches has produced a regression model to describe the relationship between sales of the different brands of watch (in thousands of units) and the advertising expenditure used to promote them (in £m).Sales = 4.32 + 6.69 Advertising expenditure R2
7.7 The mid-season league positions and numbers of goals scored by nine top division football clubs are given in the table below.Team League position Goals scored Sporting Salford 1 43 Athletico Woolwich 3 42 AFC Wonderland 6 25 Tynecastle Rovers 8 34 Burslem United 10 26 Hammersmith City 14 22
7.6 There are eight electoral wards in a town. The crime levels in these wards have been ranked by the local police, with the lowest crime area ranked 1, and the level of house prices ranked by a local estate agent, with the lowest price level ranked 1. The results are:Crime level 1 2 3 4 5 6 7 8
7.5 The cost of placing a full-page colour advertisement and the circulation fi gures of nine magazines are:Cost (£000) 9 43 16 17 19 13 20 44 35 Circulation (000) 135 2100 680 470 450 105 275 2250 695(a) Which of these variables should be the dependent variable ( Y ), and why?(b) Plot a scatter
7.4 Work out the equation of the line of best fi t for the chemical plant data in question 7.2 and plot it on a scatter diagram of the data.
7.3 A panel of fi lm critics ranked what they consider the six best new fi lms. Their rankings and the box offi ce takings of the fi lms to date are:Critics’ rank Takings ($m)1 2.2 2 0.8 3 7.3 4 1.6 5 1.0 6 0.5 Calculate the Spearman correlation coeffi cient for this data and comment on its value.
7.2 A leak of a hazardous substance at a chemical plant means that all employees working in the area of the plant affected have been tested for contamination. The following fi gures are the hours worked in the affected area since the leak and the contamination levels (in micrograms per litre of
7.1 Consider which of the relationships below are likely to have a positive and which are likely to have a negative correlation coeffi cient.(a) The distance a vehicle travels and the fuel consumed(b) The demand for laptop computers and their price(c) The average temperature of countries and the
6.8 Farmer Fred has a dairy herd of 100 cattle. The annual milk yields of the cows in the herd are given in the following table:Annual yield (litres) Number of cows Cumulative relative frequency 4500 and under 5000 5 0.05 5000 and under 5500 13 0.18 5500 and under 6000 24 0.42 6000 and under 6500
6.7 Construct a boxplot to represent the data in question 6.6 using your answers to parts (b) and (c) of the question. Does the boxplot suggest the distribution is skewed, and if so is the skew negative or positive?
6.6 Toofl ey the Chemists own 29 pharmacies. The stem and leaf display below shows the numbers of packets of a new skin medication sold in each of their shops in a week.Stem Leaves 0 5 6 7 8 8 9 9 1 0 1 2 2 2 3 3 3 3 1 5 7 8 8 9 9 2 0 0 1 2 2 2 23 3 Leaf unit = 1.0(a) Find the mode and range of
6.5 Spina Software Solutions operate an online help and advice service for PC owners. The numbers of calls made to them by subscribers in a month are tabulated below:Number of subscribers Calls made Female Male 1 31 47 2 44 42 3 19 24 4 6 15 5 1 4 Find the mode, median and mean for both
6.4 Voditel International owns a large fl eet of company cars. The mileages, in thousands of miles, of a sample of 17 of its cars over the last fi nancial year were:11 31 27 26 27 35 23 19 28 25 15 36 29 27 26 22 20 Calculate the mean and standard deviation of these mileage fi gures.
6.3 Find the lower and upper quartiles of the data in question 6.1, and use them to work out the semiinterquartile range.
6.2 The numbers of driving tests taken to pass by 28 clients of a driving school are given in the following table:Tests taken Number of clients 1 10 2 8 3 4 4 3 5 3(a) Obtain the mode, median and mean from this frequency distribution and compare their values.(b) Plot a simple bar chart of the
6.1 The numbers of credit cards carried by 25 shoppers are:2 5 2 0 4 3 0 1 2 7 2 4 1 3 9 4 1 4 1 5 5 2 3 1 2(a) Determine the mode and median of this distribution.(b) Calculate the mean of the distribution and compare it to the mode and median. What can you conclude about the shape of the
5.12 The top speeds and engine sizes of 12 performance cars are:Top speed (mph) 137 165 185 118 168 155 125 177 129 163 157 134 Engine size (litres) 2.0 5.9 3.6 1.7 3.2 4.2 1.8 4.2 1.8 5.5 2.7 2.2(a) Which variable is the independent (X) variable?(b) Draw a scatter diagram to represent this
5.11 The annual earnings (in £000s) of the Chief Executive Offi cers of 24 large companies are:195 200 205 210 230 245 250 268 310 325 340 350 364 375 389 390 400 409 412 425 445 460 475 500 Present this data in a stem and leaf display.
5.10 Sales of cold and fl u treatments (in £000) in a Manchester pharmacy during the last three years were:Quarter Year 1 2 3 4 1 11.3 5.1 3.9 9.5 2 12.6 7.9 3.7 8.8 3 10.9 6.2 4.7 9.3 Draw a time series plot for this data.
5.9 The ages of 22 tourists on an adventure holiday are:21 22 24 24 27 28 29 30 32 32 32 34 35 36 37 39 40 42 45 46 51 53(a) Construct a back-to-back stem and leaf display to present both this data and the data in question 5.4.(b) Compare and contrast the two distributions.
5.8 The company marketing the revolutionary ‘Girth Control’ diet have distributed a press release that includes a grouped frequency distribution showing the weight losses achieved by the 50 participants in the trial of the diet.Weight lost (kg) Number of participants 0 and under 2 3 2 and under
5.7 Tourists seeking holiday accommodation in a self-catering complex in the resort of Zidania can make either a one- or two-week booking. The manager of the complex has produced the following table to show the bookings she received last season:Type of booking Tourist’s home country One-week
5.6 The Miarky Software Solutions corporation was established in 2001 and ceased trading in 2010.Its annual profi ts over this period were:Year 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 Profi t ($m) 5 8 10 17 24 31 35 42 28 21 Portray this data in a time series plot.
5.5 The Zakon law fi rm has eight lawyers. The numbers of years since qualifi cation and the average monthly revenue they generate are:Years since qualifi cation 2 5 7 10 12 18 23 28 Monthly revenue (£000) 5 12 10 14 19 24 27 30 Plot this data on a scatter diagram and describe the relationship
5.4 The ages of 20 tourists on a cruise holiday are:32 35 36 41 43 44 48 51 51 54 57 62 62 65 67 67 67 68 70 72 Construct a stem and leaf display for this data.
5.3 A roadside breakdown assistance service answers 37 calls in Derbyshire on one day. The response times taken to deal with these calls were noted and have been arranged in the grouped frequency distribution below.Response time (minutes) Number of calls 20 and under 30 4 30 and under 40 8 40 and
5.2 The manager of the customer service department at Prastudar Promotions submits the following frequency distribution for the number of days in the previous week staff in the department were off sick:Days off Number of staff 0 17 1 4 2 2 3 1 4 0 5 2 Construct a bar chart to display this
5.1 Vorovka Direct Marketing has offi ces in Liverpool, Motherwell and Newbury. The numbers of employees in each location are:Offi ce Employees Liverpool 20 Motherwell 24 Newbury 29 Plot a simple bar chart to show the total number of employees in each offi ce.
4.12 A leisure company operates three amusement arcades in the UK: at Redcar, Skegness and Torquay.As part of a performance review the duration in minutes of the period spent in the arcades by each of a sample of customers visiting was recorded. The durations of visits made by 21 customers visiting
4.11 The hourly wages (in £s) of 32 jobs offered by an employment agency are:6.28 4.90 4.52 5.11 5.94 5.82 7.14 7.28 8.15 7.04 4.41 4.67 6.90 5.85 5.65 5.50 4.12 5.27 5.25 6.43 5.73 4.65 5.37 4.24 6.45 4.70 5.09 4.82 6.23 5.40 6.48 5.26 Construct a grouped frequency distribution for these fi gures.
4.10 A hotel had 1360 bookings for accommodation in a month. Of these 940 were for one night. Business bookings amounted to 813 of the total number, all but 141 being for one night. Leisure bookings amounted to a further 362, the remaining bookings being associated with functions(weddings etc.).
4.9 Identify the type of scale of measurement (nominal, ordinal, interval or ratio) appropriate for each of the following types of data:(a) Star ratings of hotels(b) Sales revenues of companies(c) Grades of offi cers in armed forces(d) House numbers in a street(e) Prices of cars(f) Classes of
4.8 The prices (in £s) of 27 second-hand ‘Krushenia’ cars on sale at a car hypermarket are:4860 1720 2350 2770 3340 4240 4850 4390 3870 2790 3740 2230 1690 2750 1390 4990 3660 1900 5200 4390 3690 1760 4800 1730 2040 4070 2670 Create a frequency distribution to present this data.
4.7 A total of 127 people applied for several jobs at a new clothing retail outlet. Seventy-four applicants were female, and of these 32 had previous experience of clothing retail and 19 had no previous retail experience. A total of 45 applicants had previous retail experience but not in the
4.6 Select which of the statements listed below on the right-hand side best describes each of the terms on the left-hand side.(a) time series data (i) concerns attitudes and beliefs(b) nominal data (ii) is limited to distinct numerical values(c) hard data (iii) consists of values of two
4.5 Indicate which of the variables below are qualitative, discrete quantitative or continuous quantitative.(a) Duration of telephone calls(b) Modes of travel to work(c) The alcohol contents of beers(d) Sizes of theatre audiences(e) Places of birth of passport applicants(f) Numbers of websites
4.3 The ‘To Let’ column in the accommodation pages of a local newspaper contains details of 20 houses available to rent. The numbers of bedrooms in these properties are:2 3 5 2 4 2 4 4 4 3 2 5 3 2 3 4 4 3 2 4 Arrange this data into a frequency distribution.4.4 The number of business trips
4.2 On a single day 360 customers used an ATM machine. Half of them only withdrew cash, a quarter only checked their account balance and one tenth only made a deposit. The remainder used the machine for more than one type of transaction, e.g. checking their balance and withdrawing cash.Compile a
4.1 Match the defi nitions listed below on the right-hand side to the words listed on the left-hand side.(a) distribution (i) something that occurs by chance(b) element (ii) a subset of a population(c) random (iii) a complete set of things to study(d) sample (iv) a value of a variable that has
3.12 The manager of a garden centre expects that sales of barbecue fuel will reach 16,000 bags for the year. The cost of keeping a bag of barbecue fuel in stock for a year is put at £5 and the administrative and other costs associated with implementing an order amount to £25.(a) Use the EOQ model
3.11 Aptieka Chemicals uses 80 litres of a solvent per week in a continuous process. Storing the solvent in accordance with fi re and safety requirements costs £5 per litre per annum. The cost of administering an order is £26.(a) Assuming the process operates for all 52 weeks of the year, how
3.10 The kitchen at a children’s hospital used 12,800kg of ice cream last year and expects to use approximately the same amount this year. The storage costs incurred by keeping 1kg of ice cream in the freezer for a year are estimated to be £7. The cost of processing an order to the supplier is
3.9 Avaria Autosports sells rally-driving adventure weekends to companies looking for incentive gifts for staff. Careful study of its past sales suggests that the price per weekend is based on the number of weekends sold, x , in line with:Price (£) = 635 - 3x Their costs depend on the weekends
3.8 The annual demand for dog biscuits at Dogwatch Security amounts to 1690kg. The cost of the manager going to collect a supply of dog biscuits in her company car is reckoned to be £40 per trip. The cost of storing the biscuits is estimated to be £8 per kilogram per year. The dog biscuits come
3.7 Peridatt Audio manufactures specialist sound amplifi ers. The company has identifi ed the following expressions to represent the demand for its products and the total cost of its operations:Price (£) = 500 - 3x Cost (£) = 150 + 20x + x2 where x is the number of amplifi ers produced and sold.
3.6 The Mashinar Garage provides an exhaust system replacement service for the Bistri car. The revenue from this operation in thousands of pounds, y , depends on the price of the service in £, x , in line with the equation:y = -x2 5 + 10x - 90(a) How much should it charge for this service to
3.5 Differentiate each of the equations listed below on the left and match your answers to the derivatives listed on the right.(i) y 3 x(ii) y 4 x 2(iii) y 2 x 3(iv) y =1 x(v) y =x4 2(vi) y 3 x3 2(vii) y x 2 4 x(viii) y =5 x2 - x(ix) y =2 3x + 5x2(x) y 4 x 4 3 x 3(a)dy dx =-1
3.4 Doroga City Council Highways Department uses 2000 litres of yellow road paint a year at a constant rate. It costs the council £50 per litre to store the paint for a year. Each time a purchase order for paint is processed the cost to the council is £20. What is the optimal order quantity of
3.3 Glazoptics plc performs laser eye surgery in a purpose-built facility. The cost per operation in £, y , depends on the number of operations conducted per week, x , as follows:y =x2 2 - 36x + 1300(a) How many operations should be undertaken per week to minimise the cost per operation?(b) Confi
3.2 The Phoney Fabrics company recently launched a new protective product for mobile phones, the‘MobyCosy’. According to the Marketing department the sales revenue (in £m), y, depends on the price (in £), x, in the following way:y = -3x2 + 24x Work out the sales revenues for prices of £1,
3.1 Crassney Cosmetics Inc. produces a wide range of lipsticks, including the Soska shade that was worn by a woman involved in a political scandal during her testimony at the offi cial inquiry into the affair. When a picture of her wearing the lipstick appeared in the newspapers demand for the
2.12 Kolbasnik the pig farmer needs to add 36kg of protein and 10kg of vitamin to the pig feed. There are two possible additives. The cost and protein and vitamin content of each are:Additive Cost per kg (£) Protein content Vitamin content Seelni-swine 20 60% 40%Vita-sosiska 15 90% 10%How much of
2.11 Tapachki & Sons produces handmade clogs in Lancashire. The company produces two types of clog, the Nelson and the Oldham. The profi ts per pair are £10 and £12 respectively. It employs two leather-cutters, four sole-makers and three stitchers. Each works a 40-hour week. The amount of labour
2.10 The Reklama Advertising Agency has a client who wants to buy TV advertisement slots. The client wants to reach the largest possible target audience within its budget of £3m. Reklama has been offered peak and off-peak slots by one network. These slots reach 14 million and 4 million people
2.9 The Ooze Haircraft Corporation makes two brands of hair treatment: Volossy, which is produced under licence, and its own products Sedina. The company is in dispute with its supplier of colourant and solidifi er as a result of which the supplier is no longer taking its orders. An alternative
2.8 Roo Satellite Systems manufactures two types of broadcast receiving system, the ‘Soap Dish’and the ‘Houston’. The production process for each includes wiring, assembly and inspection, the times in hours required in each section are:Soap Dish Houston Wiring 3.0 3.0 Assembly 1.2 3.0
2.7 Holly buys a hot dog stall for £360. In addition she has to pay a fi xed charge of £200 to the local council to secure her pitch. She plans to sell her hot dogs at £1 each and the cost of preparing each one is £0.60.(a) How many hot dogs will she need to sell to break even?(b) She fi nds a
2.6 Samocat Automotive wants to move the production of its motor scooters to a purpose-built new plant that will cost £24m to construct. The scooters sell for £1850 and variable costs of production amount to £1100 per scooter.(a) What is the break-even point for scooter production at the new
2.5 Following a crash, the owner of the Skorrost Courier Service has to purchase a new van. The make and model have already been decided, but there is a choice between petrol and diesel versions.The petrol version costs £10,000 to buy and will incur fuel costs of £0.12 per mile. The diesel
2.4 A company making lubrication products for vintage cars produces two blended oils, Smazka and Neftianikov. They make a profi t of £5 per litre of Smazka and £4 per litre of Neftianikov. A litre of Smazka requires 0.4 litres of heavy oil and 0.6 litres of light oil. A litre of Neftianikov
2.3 The Pasuda Porcelain Company is about to launch a new luxury tableware range. The selling price for a set will be £90. To make the range the company has invested £319,000 in new equipment.Variable production costs will be £35 per set.(a) What number of sets must it sell to break even?(b)
2.2 Solve each of the following pairs of simultaneous equations by elimination:(a) 3x + 2y = 7 x + y = 3(b) 5x + 3y = 19 2x - y = 1(c) 2x + 7y = 3 4x + 3y = 17(d) 6x + 6y = 27 4x + 5y = 22
2.1 The current system for allocating budgets for the local depots of a national offi ce-cleaning company gives each depot a fi xed sum of £35,000 plus an extra £500 for each corporate client in the area the depot covers.(a) Express the budget allocation model as an equation and portray it
1.12 A visitor to a Central Asian republic is offered a new vehicle for 600,000 zoom, the national currency.She can buy zoom from a bank at the offi cial exchange rate of 150 zoom per US dollar, but in the bazaar she could get 200 zoom to the dollar. If one dollar is worth 63 pence, what is the
1.11 A UK courier delivery service uses vans that will soon need to be replaced and the fl eet manager has obtained details of a new van that is currently only available in continental Europe. The fuel economy is given as 8.2 litres of fuel per 100 kilometres travelled. What is the fuel economy of
1.10 The price of a new Sabaka car purchased from a car supermarket is £12,500. Against this a customer is offered a trade-in of £1700 for her current vehicle. Later the customer visits a brand dealership where the same car is on sale at the full list price of £14,995. The salesperson is
1.9 According to college regulations, to pass a module a student must get at least 40% of the credit for the module, and at least 35% in each assessed element. In one module the assessment consists of an essay worth 40% of the total credit for the module and an exam worth the remaining 60%of the
1.8 The loyalty card scheme operated by a retail grocery chain offers customers one point for every£10 of purchases. Occasionally double or triple points are offered on some products. If a customer spent £3700 over a year, of which £290 worth earned double points and £130 worth earned triple
1.7 An insurance company claims department reports that 45% of the claims they dealt with over the last month related to motor policies, and 30% of those involved drivers under 25 years of age. The claims department dealt with 2400 claims last month, so how many were motor policy claims involving
1.6 You are to fl y from London to Tokyo. The plane is due to depart at 17.30 and you have to check in two hours before take off. You reckon that it will take an hour and a quarter to drive to the airport and a further 30 minutes to get from the car park to the check-in desk.(a) What time should
1.5 A summary of payroll data for a retail store contains the following list:Department Number of operatives Weekly wage per operative(1) Goods received 5 £230(2) Sales – Electricals 8 £310(3) Sales – Furniture 3 £300(4) Sales – Textiles 6 £280(5) Cleaning 4 £200 If x represents the
1.4 Annual world wine output recently was 6,875,396 thousand gallons, of which Italy produced 1,439,911 thousand gallons, the USA produced 543,408 thousand gallons, and Australia produced 197,035 thousand gallons.(a) Express the total production and the production of Italy, the USA and Australia to
1.3 Match the operations on the left below to the answers on the right.(i) 40% of 200(ii) 2/3 * 3/5(iii) 120% of 100(iv) 5/4 3/4(v) 1/5 1/4(vi) 1/3 1/5(vii) 20% of 40%(a) 120(b) 2/15(c) 5/3(d) 8%(e) 80(f) 9/20(g) 2/5
1.2 Pair up the expressions listed below on the left to the alternative forms of them listed on the right.(i) 0.00000045(ii) 45(iii) 450,000(iv) 245(v) 0.0045(vi) 45,000,000,000(vii) 4.5(viii) 0.45(a) 4.5 * 1010(b) 4.5 * 10-7(c) 4.5 * 101(d) 4.5 * 10-1(e) 4.5 * 100(f) 4.5 * 101>2(g) 4.5 * 10-3(h)
1.1 Match the expressions listed below on the left to the answers listed to the right. Try it without a calculator fi rst then use your calculator to check your solutions.(i) 4 + 3 + 8 * 2 - 5 (ii) 15>3 * 2 - 4 + 6 (iii) 3 * 8>6 + 1 - 5 (iv) (4 + 3 + 8) * 2 - 10 (v) (2 * 8) + (3 - 5)(vi) (((5 - 2)
An organisation has recently purchased a company car for one of its senior managers at a cost of £25 000 and is trying to determine the most suitable time for replacement. It is estimated that the car will depreciate by £5000 in the first year, £2000 in each of the next two years and £3000 in

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Quantitative Analysis For Decision Makers 7th Edition Mik Wisniewski, Dr Farhad Shafti - Solutions

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