The Hawaii Surfboard Company produces three different styles of surfboards (the Oahu, the Kauai, and the Maui) made from combinations of three different materials, A, B, and C.The Oahu model nets a $35 profit and requires 1 unit of A, 1 unit of B, and 1 unit of C.The Kauai model nets a $75 profit and requires 4 units of A and 1 unit of B.The Maui model nets a $100 profit and requires 1 unit of A, 4 units of B, and 1 unit of C.There are 200 units of A, 200 units of B, and 100 units of C available weekly.
A.Formulate a linear programming model to determine the optimal weekly profit.
B.How would the model change if Hawaii Surfboard wanted to produce an equal number of each model?
Correct Answer:
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A.( MAX 35X1 + 75X2
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