Question 3 (6 marks) Rad Inc. makes two boats in addition to their regular fleet. These two boats, the AFQ3 and ABQ7, can be special ordered and the company will occasionally offer them for sale without orders when the company resources permit their production. In total 2400 machine-hours are available for making both products. The AFQ3 requires 4 hours per unit and the ABQ7 requires 6 hours per unit. Also available are 1600 person-hours for painting the products. The respective number of person-hours required for painting the AFQ3 and ABQ7 are 2 and 4 respectively. The company has orders for 240 units of the A-Fly. Each AFQ3 contributes $250 to company profits while the ABQ7 contributes $320 to company profits. a. State the objective function and the constraints related to the above conditions. 3 marks b. Sketch the constraints to this linear programming problem, determine the points that make the feasible region and the optimal number of A-Fly and B-Fly. (Show your calculations). 3 marks

Principles of Accounting Volume 2
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ISBN:9781947172609
Author:OpenStax
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Chapter10: Short-term Decision Making
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Question 3 (6 marks)
Rad Inc. makes two boats in addition to their regular fleet. These two boats, the AFQ3 and
ABQ7, can be special ordered and the company will occasionally offer them for sale without
orders when the company resources permit their production. In total 2400 machine-hours are
available for making both products. The AFQ3 requires 4 hours per unit and the ABQ7 requires
6 hours per unit. Also available are 1600 person-hours for painting the products. The respective
number of person-hours required for painting the AFQ3 and ABQ7 are 2 and 4 respectively. The
company has orders for 240 units of the A-Fly. Each AFQ3 contributes $250 to company profits
while the ABQ7 contributes $320 to company profits.
a.
State the objective function and the constraints related to the above conditions. 3 marks
b. Sketch the constraints to this linear programming problem, determine the points that
make the feasible region and the optimal number of A-Fly and B-Fly. (Show your
calculations). 3 marks
Transcribed Image Text:Question 3 (6 marks) Rad Inc. makes two boats in addition to their regular fleet. These two boats, the AFQ3 and ABQ7, can be special ordered and the company will occasionally offer them for sale without orders when the company resources permit their production. In total 2400 machine-hours are available for making both products. The AFQ3 requires 4 hours per unit and the ABQ7 requires 6 hours per unit. Also available are 1600 person-hours for painting the products. The respective number of person-hours required for painting the AFQ3 and ABQ7 are 2 and 4 respectively. The company has orders for 240 units of the A-Fly. Each AFQ3 contributes $250 to company profits while the ABQ7 contributes $320 to company profits. a. State the objective function and the constraints related to the above conditions. 3 marks b. Sketch the constraints to this linear programming problem, determine the points that make the feasible region and the optimal number of A-Fly and B-Fly. (Show your calculations). 3 marks
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