Samy Company manufactures two types of tables, model K and J. The production of a model K table requires a capital expenditure of RM 6 and 2 hours of labor. The production of a model J table requires a capital of RM 4 and 5 hours of labor. The company has RM 240 capital and 100 hours of labor available for the production of the two models of tables per week. A model K table contributes a profit of RM 30 while model J contributes RM 40. a. Formulate the problem using linear programming model. b. How many of each type of table should the firm produce to maximize the profit? c. What is the maximum pro

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
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QUESTION 2 Samy Company manufactures two types of tables, model K and J. The production of a model K table requires a capital expenditure of RM 6 and 2 hours of labor. The production of a model J table requires a capital of RM 4 and 5 hours of labor. The company has RM 240 capital and 100 hours of labor available for the production of the two models of tables per week. A model K table contributes a profit of RM 30 while model J contributes RM 40.

a. Formulate the problem using linear programming model.

b. How many of each type of table should the firm produce to maximize the profit?

c. What is the maximum profit?

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