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.
Chapter2: Introduction To Spreadsheet Modeling
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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?
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