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The manager of ABC Inc. has been presented with the following LP model in order to maximize profits:

Max 50A + 75B

s.t. 8A + 6B <= 180

10A + 12B <= 320

B <= 50

A , B >= 0

What is the optimal value of the objective function?

What are the optimal values of the two decision variables?

If the cost of B could be reduced to $65 per unit, how many units of B would be optimal?

What is the range of feasibility for the RHS value of the first constraint?

By what amount would the total cost change, and in what direction, if the RHS value of the second constraint was changed to 330?

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