Math questions | Management homework help
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10/31/24, 6:38 PM 407 Module 1: Quiz#1 - MNS407 Management Science, Fall 2024 | WebAssign https://www.webassign.net/web/Student/Assignment-Responses/last?dep=35936170 11/14 (c) Suppose increases to 16 and increases to 4.5. How does the optimal solution change, if at all? The optimal solution becomes (9600, 3000). The optimal solution does not change. Show My Work (Optional)
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10/31/24, 6:38 PM 407 Module 1: Quiz#1 - MNS407 Management Science, Fall 2024 | WebAssign https://www.webassign.net/web/Student/Assignment-Responses/last?dep=35936170 12/14 The Kartick Company is trying to determine how much of each of two products to produce over the coming planning period. There are three departments, A, B, and C, with limited labor hours available in each department. Each product must be processed by each department and the per unit requirements for each product, labor hours available, and per-unit profit are as shown below. Labor required in each department Department Product (hours/unit) Labor Hours Available Product 1 Product 2 A 1.00 0.30 100 B 0.30 0.12 36 C 0.15 0.56 50 Profit Contribution $33.00 $24.00 A linear program for this situation is as follows. Let of product 1 to produce. Let of product 2 to produce. Mr. Kartick (the owner) used trial and error with a spreadsheet model to arrive at a solution. His proposed solution is as shown in the figure. He said he felt his proposed solution is optimal. Consider the following tables a representation of an Excel spreadsheet. Kartick Data Department Prod 1 Prod 2 Hours Available A 1.00 0.30 100 B 0.30 0.12 36 C 0.15 0.56 50 x = the amount1 x = the amount2 Maximize 33 x + 24 x s.t. 1.0 x + 0.30 x ≤ 100 Department A 0.30 x + 0.12 x ≤ 36 Department B 0.15 x + 0.56 x ≤ 50 Department C x , x ≥ 0 1 2 1 2 1 2 1 2 1 2 x = 75 and x = 60,1 2