1. Inspired by one too many late nights of Stardew Valley, you've decided to become a...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
1. Inspired by one too many late nights of Stardew Valley, you've decided to become a farmer! You grow plums ), and to make some extra money you make a handful of delicious things out of your plums: plum tarts ), plum jam (), and plum pudding Over your first few months of farming, you've noticed the following things: • Picking plums is tiring work! For every 100 plums you pick, you come home starving and eat 2 slices of tart and 2 plum puddings • To make a plum tart, which gives you 10 slices of tart, you need to use 5 plums and 1 jar of jam • To make 10 jars of jam , you need 100 plums ; you also need 1 slice of tart because you get bored and want something to snack on while the jam stews. • Each individual plum pudding you serve uses up a plum and comes with a healthy dollop of jam; so, to make 1 plum pudding you need to use 1 plum and jar of jam. (a) Suppose that you want to bring 900 plums, 30 slices of tart, 30 jars of jam, and 60 plum puddings to the farmer's market. To do this, how many plums do you need to pick/tarts, jams, and plum puddings do you need to make? (b) In the above scenario, we said that when we made a slice of tart, we used up a plum, when we made a jar of jam we used up 10 plums, and when we made a plum pudding we used up 1 plum. Suppose we changed this scenario to one in which making a slice of tart uses a plums, mak- ing a jar of jam uses 3 plums, and making a plum pudding uses y plums, and we still have the same target goal of 900 plums, 30 slices of tart, 30 jars of jam, and 60 plum puddings from (a). Is there a triple of values a, B, y in R such that it would be mathematically impossible' for us to solve the resulting system of linear equations? Either find such values and explain why the resulting system of linear equations has no solutions, or prove that no such values can exist. 1. Inspired by one too many late nights of Stardew Valley, you've decided to become a farmer! You grow plums ), and to make some extra money you make a handful of delicious things out of your plums: plum tarts ), plum jam (), and plum pudding Over your first few months of farming, you've noticed the following things: • Picking plums is tiring work! For every 100 plums you pick, you come home starving and eat 2 slices of tart and 2 plum puddings • To make a plum tart, which gives you 10 slices of tart, you need to use 5 plums and 1 jar of jam • To make 10 jars of jam , you need 100 plums ; you also need 1 slice of tart because you get bored and want something to snack on while the jam stews. • Each individual plum pudding you serve uses up a plum and comes with a healthy dollop of jam; so, to make 1 plum pudding you need to use 1 plum and jar of jam. (a) Suppose that you want to bring 900 plums, 30 slices of tart, 30 jars of jam, and 60 plum puddings to the farmer's market. To do this, how many plums do you need to pick/tarts, jams, and plum puddings do you need to make? (b) In the above scenario, we said that when we made a slice of tart, we used up a plum, when we made a jar of jam we used up 10 plums, and when we made a plum pudding we used up 1 plum. Suppose we changed this scenario to one in which making a slice of tart uses a plums, mak- ing a jar of jam uses 3 plums, and making a plum pudding uses y plums, and we still have the same target goal of 900 plums, 30 slices of tart, 30 jars of jam, and 60 plum puddings from (a). Is there a triple of values a, B, y in R such that it would be mathematically impossible' for us to solve the resulting system of linear equations? Either find such values and explain why the resulting system of linear equations has no solutions, or prove that no such values can exist.
Expert Answer:
Answer rating: 100% (QA)
No such values can exist Let x be the number of plums picked y be the number of tarts made ... View the full answer
Related Book For
Financial Management Theory And Practice
ISBN: 978-0176583057
3rd Canadian Edition
Authors: Eugene Brigham, Michael Ehrhardt, Jerome Gessaroli, Richard Nason
Posted Date:
Students also viewed these general management questions
-
Why do you think Treadwell decided to become a multibrand franchisee instead of just staying with KFC?
-
You have decided to become a homeowner with the purchase of a condominium in a newly redeveloped part of town. The condo costs $300,000 and you have a down payment of $90,000, so you will be carrying...
-
You need to pick up a very hot cooking pot in your kitchen. You have a pair of hot pads. Should you soak them in cold water or keep them dry, to be able to pick up the pot most comfortably?
-
A research laboratory receives delivery of a new custom-made cylindrical thin-wall pressure vessel. The pressure vessel has inner radius R = 300 mm, and wall thickness t = 10 mm. The vessel is made...
-
A rhombus is inscribed in a rectangle that is w meters wide with a perimeter of 40 m. Each vertex of the rhombus is a midpoint of a side of the rectangle. Express the area of the rhombus as a...
-
A regional warehouse orders items once a week from a central warehouse. The truck arrives 3 days after the order is placed. The warehouse operates 5 days a week. For a particular brand and size of...
-
Derive the solutions for transient concentration profiles in the two-bulb apparatus (Example 21.5 in the text) for the binary case, and show that the multicomponent case can be derived as an...
-
For the following purchases of merchandise, determine the amount of cash to bepaid: Total Invoice Cr Credit Terms Amount of Freight Ivice Returs andDate PurchaseDate Purchase Charges Amount...
-
You are a policy analyst trying to estimate the relationship between test scores and spending on education. You observe that Alphaville spends $5,500 per student and averages 76 on a national test....
-
As first described in Problem 2.9, Pathfinder College is a small liberal arts college that wants to improve its admissions process. In particular, too many of its incoming freshmen have failed to...
-
The Competitive Advantage Test Is the strategy resulting in better strategic performance? The Goodness of Fit Test How well does the strategy fit the firm's situation? To qualify as a winning...
-
Organize and gather content for a preview, view, and review.
-
For a team project youre currently working on, create a team assessment. You can use ratings and/or open-ended questions. Consider including items such as the following: focus on results,...
-
Explain characteristics of the emerging Social Age.
-
Describe the process for developing routine business messages.
-
Analyze presentation audiences in terms of message benefits, learning styles, and communicator styles.
-
1) Consider a process described by the transfer function: -2s 5e G(s) = (s+1)(10s+1) a) Find the critical frequency, the ultimate gain, and the ultimate period of this process under proportional...
-
Solve the relation Exz:Solve therelation ne %3D
-
The real risk-free rate is 2%. Inflation is expected to be 3% this year, 4% next year, and 3.5% thereafter. The maturity risk premium is estimated to be 0.0005 x (t - 1), where t = number of years to...
-
Assume the following information for Project X: Initial investment: $50,000 Annual after-tax cash flows: $8,000 Salvage value : $0 If the project's internal rate of return is 12.5%, what must be the...
-
Memtech Ltd. needs to raise $15 million to construct production facilities for a new type of USB memory device. The firm's straight nonconvertible debentures currently yield 8%. Its stock sells for...
-
How many oxygen atoms are bonded to the carbon of the carbonyl of an ester functional group? (a) none (b) one (c) two (d) three
-
Explain why caprylic acid, CH 3 (CH 2 ) 6 COOH, dissolves in a 5, aqueous solution of sodium hydroxide but caprylaldehyde, CH 3 (CH 2 ) 6 CHO, does not dissolve. (a) With two oxygens, the caprylic...
-
Which would you expect to be more viscousa polymer made of long molecular strands or a polymer made of short molecular stands? Why? (a) long strands, because they tend to tangle among themselves (b)...
Study smarter with the SolutionInn App