1) Consider the following production planning problem for the next 3 months. Suppose you produce tables...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
1) Consider the following production planning problem for the next 3 months. Suppose you produce tables and chairs. The demands for the products are shown in Table 1. Table 1 Demands Month 1 (units) Tables Chairs Desks (TL) Tables Chairs 100 Desks 40 20 8 5 Month 2 120 7 80 Backlogging is not allowed (i.e. demand has to be satisfied). Initially (at the beginning of month 1) you have 30 tables, 70 chairs and 15 desks in inventory initially. One table requires 2.8 units of raw material, one chair requires 1.7 units of raw material and one desk requires 3.2 units of raw material. Each month, 400 units of raw material is available. One table requires 5 hours of labor, one chair requires 4 hours of labor and one desk requires 3 hours of labor. In months 1 and 2, 1000 hour of labor hours is available. The unit production costs are shown in Table 2. Table 2 Unit Production costs in TL Month 1 Month 2 30 8.2 5.1 Month 3 7.2 80 90 25 Month 3 8.3 5.7 7.4 Unit inventory cost is 1 TL/month/table, 0.8 TL/month/chair and 0.9TL/month/desk. (Inventory cost is charged for end of month inventories) You can also purchase tables and chairs from an outside supplier at a higher cost in periods 2 and 3 only for a unit price of 10 TL and 8TL respectively. The maximum number of tables that can be purchased is 20 for each of these months whereas this number is 30 for chairs. Formulate a linear programming model to minimize total cost for 3 months. 1) Consider the following production planning problem for the next 3 months. Suppose you produce tables and chairs. The demands for the products are shown in Table 1. Table 1 Demands Month 1 (units) Tables Chairs Desks (TL) Tables Chairs 100 Desks 40 20 8 5 Month 2 120 7 80 Backlogging is not allowed (i.e. demand has to be satisfied). Initially (at the beginning of month 1) you have 30 tables, 70 chairs and 15 desks in inventory initially. One table requires 2.8 units of raw material, one chair requires 1.7 units of raw material and one desk requires 3.2 units of raw material. Each month, 400 units of raw material is available. One table requires 5 hours of labor, one chair requires 4 hours of labor and one desk requires 3 hours of labor. In months 1 and 2, 1000 hour of labor hours is available. The unit production costs are shown in Table 2. Table 2 Unit Production costs in TL Month 1 Month 2 30 8.2 5.1 Month 3 7.2 80 90 25 Month 3 8.3 5.7 7.4 Unit inventory cost is 1 TL/month/table, 0.8 TL/month/chair and 0.9TL/month/desk. (Inventory cost is charged for end of month inventories) You can also purchase tables and chairs from an outside supplier at a higher cost in periods 2 and 3 only for a unit price of 10 TL and 8TL respectively. The maximum number of tables that can be purchased is 20 for each of these months whereas this number is 30 for chairs. Formulate a linear programming model to minimize total cost for 3 months.
Expert Answer:
Related Book For
Principles of Operations Management Sustainability and Supply Chain Management
ISBN: 978-0134181981
10th edition
Authors: Jay Heizer, Barry Render, Chuck Munson
Posted Date:
Students also viewed these accounting questions
-
The 2014 populations and land areas are shown in Table 28 for various states. Round all unit ratios to the second decimal place: a. Find the unit ratio of New Yorks population to New Jerseys...
-
At the beginning of year 1, you have $10,000. Investments A and B are available; their cash flows are shown in the file S14_84.xlsx. Assume that any money not invested in A or B earns interest at an...
-
At the beginning of year 1, you have $10,000. Investments A and B are available; their cash flows are shown in the file P04_62.xlsx. Assume that any money not in-vested in A or B earns interest at an...
-
If one movie ticket costs $13.50, how much will y tickets cost?
-
Summer Kluxon, Inc., purchased inventory costing $120,000 and sold 75% of the goods for $150,000. All purchases and sales were on account. Kluxon later collected 30% of the accounts receivable. 1....
-
What is a weak entity? How do weak entities relate to ID-dependent entities?
-
Do a search for a sample pleading format and see if you can find one for California.
-
Four firms have roughly equal shares of the market for farm-raised catfish. The price elasticity of demand for the market as a whole is estimated at -1.5. a. If all firms raised their prices by 5...
-
This is the customer satisfaction survey over a 10-week period. USA Pizza sells 100 pizza per day. Based on the data, construct the C-chart for USA Pizza. (Do the rounding to the 2nd place after the...
-
The balance sheet provides a snapshot of the financial condition of a company. Investors and analysts use the information given on the balance sheet and other financial statements to make several...
-
Plot the function z 2 -1.5/ sin(x)cos(0.5y) over the domain -4 SxS4 and -4 < y54 using Table 1.30. (a) Mesh plot (b) Surface plot (c) Mesh curtain plot (d) Mesh and contour plot
-
12. Mr. and Mrs. Lam purchased their first property in Wan Chai, in joint names, on 1 December 2017. The flat was rented out at HK$8,500 per month to their tenant, Mr. Wong, from 8 December 2017 to 7...
-
An engineering company in the south-east of the country is currently considering investig in new plant in order to enable expansion of its limited product range. The businesse incurred expenditure of...
-
9 . Inventories in 2 0 2 3 were $ _ _ _ _ _ _ _ _ _ _ . a . 4 , 8 9 0 b . 5 , 3 9 0 c . 5 , 9 9 0 d . 6 , 4 3 0 e . 7 , 0 4 0 1 0 . Net income in 2 0 2 3 was $ _ _ _ _ _ _ . a . 7 , 6 8 0 b . ...
-
Alex Corporation reports the following components of stockholders' equity at December 31 of the prior year. Common stock-$25 par value, 50,000 shares authorized, 33,000 shares issued and outstanding...
-
Simplify. 2a7b5 462 3
-
A student is planning to attend college in August 2029; he plans to create a fund that will pay for his 4 years of college. The current cost to attend college for the acadmaic year 2014 - 2015 is...
-
If a test has high reliability. O the test measures what the authors of the test claim it measures O people who take the same test twice get approximately the same scores both times O scores on the...
-
Develop an Activity Chart for doing three loads of laundry.
-
Twenty-five engine mounts are sampled each day and found to have an average width of 2 inches, with a standard deviation of 0.1 inches. What are the control limits that include 99.73% of the sample...
-
Presume that Litely carries a modern white kitchen ceiling lamp that is quite popular. The anticipated demand during lead time can be approximated by a normal curve having a mean of 180 units and a...
-
A steel shaft of diameter \(d\) and length \(l\) is fixed at one end and carries a propeller of mass \(m\) and mass moment of inertia \(J_{0}\) at the other end (Fig. 8.30). Determine the fundamental...
-
Show that the normal functions corresponding to the longitudinal vibration of the bar shown in Fig. 8.29 are orthogonal. x=0 1000 k x=/ FIGURE 8.29 Bar fixed at one end and connected to a spring at...
-
a. Longitudinal vibration of a bar b. Torsional vibration of a shaft c. Transverse vibration of a string \(c=\left(\frac{G}{ho} ight)^{1 / 2}\) Data:- \(c^{2} \frac{\partial^{2} w}{\partial...
Study smarter with the SolutionInn App