A company produces two products, A and B daily. Each product A and B produced will results RM160 and RM200 in profit, respectively. The production of product A and B is depending on the availability of limited resources. The resource required to produce a unit of product A and B, and the total resources available per day are as follows. a) Resource Requirements Product A Resource Total available per Product B day Labour (hr) Material (kg) Storage (m²) 2 4 40 180 180 2160 240 120 2400 (i) Formulate the linear programming problem. Storage is a non-binding constraint. Solve the linear programming problem simultaneously to obtain the optimal mix and the maximum profit. (ii) (iii) Compute the shadow price of an additional increase in the total labour hours available per day. The overtime payment is RM15 per hour increase in labour hours. Is it worthwhile for the company to increase the total labour hours available per day? Justify your answer.
A company produces two products, A and B daily. Each product A and B produced will results RM160 and RM200 in profit, respectively. The production of product A and B is depending on the availability of limited resources. The resource required to produce a unit of product A and B, and the total resources available per day are as follows. a) Resource Requirements Product A Resource Total available per Product B day Labour (hr) Material (kg) Storage (m²) 2 4 40 180 180 2160 240 120 2400 (i) Formulate the linear programming problem. Storage is a non-binding constraint. Solve the linear programming problem simultaneously to obtain the optimal mix and the maximum profit. (ii) (iii) Compute the shadow price of an additional increase in the total labour hours available per day. The overtime payment is RM15 per hour increase in labour hours. Is it worthwhile for the company to increase the total labour hours available per day? Justify your answer.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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