IndahKiat has a daily budget of 320 hours of labor and 350 units of raw material to manufacture two products. If necessary, the company can employ up to 10 hours daily of overtime labor hours at the additional cost of RM2 an hour. It takes 1 labor hour and 3 units of raw material to produce one unit of product 1, and 2 labor hours and 1 unit of raw material to produce 1 unit of product 2. The profit per unit of product 1 is RM10, and that of product 2 is RM12. Let x1 and x2 define the daily number of units produced of product 1 and product 2, and x3 the daily hours of overtime used. The LP model is then given as Max z = 10x1 + 12x2 – 2x3 subject to x1 + 2x2 – x3 £ 320 (Labor hours) 3x1 + x2 £ 350 (Raw material) x3 £ 10 (Overtime) x1, x2, x3 ³ 0. Required 1. Determine the optimal solution. 2. Identify the optimal inverse ma

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 73P
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IndahKiat has a daily budget of 320 hours of labor and 350 units of raw material to manufacture two products. If necessary, the company can employ up to 10 hours daily of overtime labor hours at the additional cost of RM2 an hour. It takes 1 labor hour and 3 units of raw material to produce one unit of product 1, and 2 labor hours and 1 unit of raw material to produce 1 unit of product 2. The profit per unit of product 1 is RM10, and that of product 2 is RM12. Let x1 and x2 define the daily number of units produced of product 1 and product 2, and x3 the daily hours of overtime used. The LP model is then given as Max z = 10x1 + 12x2 – 2x3 subject to x1 + 2x2 – x3 £ 320 (Labor hours) 3x1 + x2 £ 350 (Raw material) x3 £ 10 (Overtime) x1, x2, x3 ³ 0. Required 1. Determine the optimal solution. 2. Identify the optimal inverse matrix.
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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,