A manufacturing firm has four plants and wants to find the most efficient means of meeting the requirements of its four customers. The relevant information for the plants and customers, along with shipping costs in dollars per unit, are shown in the table below: Factory (capacity) A (100) B (75) C (100) D (250) Customer (requirement) Customer 1 (125) Customer 2 (150) Customer 3 (175) $15 $10 $20 $20 $22 $21 What multiple choice answer is correct? A. 4 3. 12 C. 3 D. 16 E. 8 $12 $20 $15 $19 $25 $28 Customer 4 (75) $17 $ 20 $14 $ 12

A manufacturing firm has four plants and wants to find the most efficient means of meeting the requirements of its four customers. The relevant information for the plants and customers, along with shipping costs in dollars per unit, are shown in the table below: Factory (capacity) A (100) B (75) C (100) D (250) Customer (requirement) Customer 1 (125) Customer 2 (150) Customer 3 (175) $15 $10 $20 $20 $22 $21 What multiple choice answer is correct? A. 4 3. 12 C. 3 D. 16 E. 8 $12 $20 $15 $19 $25 $28 Customer 4 (75) $17 $ 20 $14 $ 12

Essentials of Business Analytics (MindTap Course List)

2nd Edition

ISBN:9781305627734

Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson

Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson

Chapter13: Nonlinear Optimization Models

Section: Chapter Questions

Problem 8P: Andalus Furniture Company has two manufacturing plants, one at Aynor and another at Spartanburg. The...

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Requirements 1. 2. 3. 4. What is the total cost of producing 1,200 mailboxes? If $18,516 of the total costs are fixed, what is the variable cost of producing each mailbox? Write Branson Mailbox's cost equation. If the plant manager uses the average cost per unit to predict total costs, what would the forecast be for 1,500 mailboxes? 5. If the plant manager uses the cost equation to predict total costs, what would the forecast be for 1,500 mailboxes? 6. What is the dollar difference between your answers to questions 4 and 5? Which approach to forecasting costs is appropriate? Why?
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A company manufactures and markets three products that are made from the same set of machines. Production is limited by machine capacity. Using the data given below, you are required to indicate the priorities for products A, B, and C with a view to maximize profits. A B C ( Cost per unit) 3.25 Raw materials (Rs.) Direct Labour (Rs.) Other Variable Cost (Rs.) Selling Price (Rs.) Standard machine Time 2.25 4.25 0.50 0.50 0.50 0.30 0.45 0.71 5.90 6.00 7.00 required (per unit) 39 minute 20 minutes 28minutes In the following year, the company faces extreme shortage of raw materials. It is noted that 3kg, 4kg, 5kg of raw materials are required to produce one unit of A. B. and C respectively. How would product priorities change".
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Andalus Furniture Company has two manufacturing plants, one at Aynor and another at Spartanburg. The cost in dollars of producing a kitchen chair at each of the two plants is given here. The cost of producing Q1 chairs at Aynor is: 75Q1+5Q12+100 and the cost of producing Q2 kitchen chairs at Spartanburg is: 25Q2+2.5Q22+150. Andalus needs to manufacture a total of 40 kitchen chairs to meet an order just received. How many chairs should be made at Aynor, and how many should be made at Spartanburg in order to minimize total production cost?
Kelson Sporting Equipment, Inc., makes two types of baseball gloves: a regular model and a catchers model. The firm has 900 hours of production time available in its cutting and sewing department, 300 hours available in its finishing department, and 100 hours available in its packaging and shipping department. The production time requirements and the profit contribution per glove are given in the following table: Assuming that the company is interested in maximizing the total profit contribution, answer the following: a. What is the linear programming model for this problem? b. Develop a spreadsheet model and find the optimal solution using Excel Solver. How many of each model should Kelson manufacture? c. What is the total profit contribution Kelson can earn with the optimal production quantities? d. How many hours of production time will be scheduled in each department? e. What is the slack time in each department?
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