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QUESTION 181. Solve this linear programming problem.What is the optimal value of the objective function?Maximize $3x + $5ysubject to:8x + 14y 9x + 12y AnswerLess than or equal to 30Greater than 30 but Less than or equal to 40Greater than 40 but Less than or equal to 50Greater than 50 but Less than or equal to 60Greater than 605 points QUESTION 191. 1. Solve this linear programming problem.What is the shadow price (dual value) for the first constraint? Maximize $3x + $5ysubject to:8x + 14y 9x + 12y AnswerLess than or equal to 0.5Greater than 0.5 but Less than or equal to 1Greater than 1 but Less than or equal to 2Greater than 2 but Less than or equal to 5Greater than 5QUESTION 201. ABC Logistics Inc. has four warehouses (A B C and D) that require monthly shipments of 300 350 500 and 550 units per month respectively. Its three plants (1 2 and 3) have monthly capacities of 600 450 and 650 respectively. Plant capacities warehouse needs and shipping costs (in $) are shown in the following table. For example the shipping cost from Plant 1 to Warehouse A is $15 per unit.WarehousePlantABCD11591216218151920314181911What is the optimal shipping cost?AnswerLess than or equal to $10000Greater than $10000 but Less than or equal to $15000Greater than $15000 but Less than or equal to $20000Greater than $20000 but Less than or equal to $25000Greater than $25000

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