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The following linear programming problem has been written to plan the production of two products. The company wants to maximize its profits. X_1 = number of product 1 produced in each batch X_2 = number of product 2 produced in each batch MAX: 150 X_1 + 250 X_2 Subject to: 2 X_1 + 5 X_2 lessthanorequalto 200 3 X_1 + 7 X_2 lessthanorequalto 175 X_1, X_2 greaterthanorequalto 0 How many units of resource two (the second constraint) are unutilized if the company produces 10 units of product 1 and 5 units of product 2? a. 150 b. 155 c. 100 d. 110
Expert Answer
Answer
10*150+ 5*250 =2750
2*10+5*5=45<=200, diff= 155
30+35=65<=175, diff= 110
Min of the constrain is binding, so 110
Hence Option D
