The manager of Jokitian Iron Works Company received an order to produce a number of pipes which require the use of material A costing $3 and material B costing $8 per unit. For each pipe no more than 12 units of Material A and at least 16 units of material B must be used. While each unit of A weighs 4 pounds and each unit of B weighs 6 pounds, the final product must weigh exactly 120 pounds. a. Present the objective function. b. Present the constraint functions. c. Show and label the graph of the feasible solution. d. How many units of each raw material should be used in order to produce the ordered pipes most economically? e. What is the cost of each pipe?

The manager of Jokitian Iron Works Company received an order to produce a number of pipes which require the use of material A costing $3 and material B costing $8 per unit. For each pipe no more than 12 units of Material A and at least 16 units of material B must be used. While each unit of A weighs 4 pounds and each unit of B weighs 6 pounds, the final product must weigh exactly 120 pounds. a. Present the objective function. b. Present the constraint functions. c. Show and label the graph of the feasible solution. d. How many units of each raw material should be used in order to produce the ordered pipes most economically? e. What is the cost of each pipe?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter7: Nonlinear Optimization Models

Section: Chapter Questions

Problem 49P: If a monopolist produces q units, she can charge 400 4q dollars per unit. The variable cost is 60...

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