Reference no: EM13236734
The manager of FYZ Incorporated has been presented with the following LP model:
Minimize (costs) Z = 30A + 45B
Subject to 5A + 2B > 100
4A + 8B > 240
B > 20
A and B > 0
She would like your assistance with several questions below.
a.) What is the proper name of the last constraint shown in the model?
b.) What is the optimal value of the objective function?
c.) What are the optimal values of the two decision variables?
d.) If the cost of B could be reduced to $42 per unit, how many units of B would be optimal?
e.) If the cost of B could be reduced to $42 per unit, what would the minimum total cost be?
f.) What is the dual value (AKA--“shadow price”) for the RHS value of the first constraint?
g.) What is the range of feasibility for the RHS value of the first constraint?
h.) By what amount would the total cost change, and in what direction, if the RHS value of the first constraint was changed to 110? Please explain the rationale for your answer.
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: What are the optimal values of A and B? What is the minimum cost and if the cost of B could be reduced to $42 per unit, how many units of B would be optimal? What would the minimum cost be?
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