What is the objective function and feasible solutions

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Reference no: EM132253815

A manufacturer makes two kinds of chairs, A and B, each of which has to be processed in two departments, 1 and 2. Chair A has to be processed in department 1 for 1 hour and department 2 for 2 hours. It has a selling price of $5. Chair B has to be processed in department 1 for 2 hours and department 2 for 1 hour and has a selling price of $10. In a given month the total time available in department 1 is 4 hours and department 2 is 2 hours. How many of each chair should the manufacturer make that month to maximize his income?

a) What is the objective function?

b) What are the constraints?

c) Plot the constraints and solve graphically.

d) What are the feasible solutions?

e) if we sell chair A for $10 instead of $5, would it change the optimal solution? yes or no?

f) if the price for chair B decreased to $5, would it change the optimal solution?

g) if department 1 was closed, 0 hours available, would it change the optimal solution?

Reference no: EM132253815

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