6. A firm produces four products: A, B, C, and D. Each unit of product A requirestwo hours of assembly, one hour of finishing, and P10 worth of in-processinventory. Each unit of product B requires 1 hour of assembly, 3 hours of finishing,and P5 worth of in-process inventory. Each unit of product of C requires 2.5 hoursof assembly, 2.5 hours of finishing, and P2 worth of in-process inventory. Finallyeach unit of product D requires five hours of assembly, no finishing, and P12 worthof in-process inventory. The firm has 120,000 hours assembly time and 160,000hours of finishing time available. In addition, not more than P1 million may be tiedup in-process inventory. Each unit of product A returns a profit of P40; each unit ofproduct B returns a profit of P24; each unit of product C returns a profit of P36; andeach unit of product D returns a profit of P23. Not more than P20,000 units ofproduct A can be sold; not more than 16,000 units of product C sold; any numberof units of products B and D may be sold. However, at least 10,000 units of productD must be produced and sold to satisfy a contract requirement. The objective ofthe firm is to maximize the profit resulting from the sales of the four products.

Objective Functions and Constraints: Based on the given details, the objective…

Answered: 6. A firm produces four products: A, B,…

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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