Question: Pls do Q6. Problem 2 is given below 6. [10 pts) Dual of LP. Write the dual of the linear programming formulation obtained in Problem

Pls do Q6. Problem 2 is given below

6. [10 pts) Dual of LP. Write the dual of the linear programming formulation obtained in Problem 2. 2. (15 pts) LP Modeling. A company possesses 3 apple plantations. The apples are then shipped every week to 2 supermarkets in major cities for retail. The unit shipping costs from each plantation to each supermarket are listed in the table below. Suppose that the planting capacities of apples at plantation 1, 2, and 3 are 20 units, 13 units, and 19 units, respectively. Moreover, suppose that the demands at supermarket 1 and 2 are 23 units and 25 units, respectively, and the unit selling prices of apples in supermarket 1 and 2 are $8 and $7.5, respectively. Please formulate a linear program to determine the shipping plan for the company that maximizes the profit obtained while meeting the demands (Hint: profit = revenue - cost). Supermarket 1 Supermarket 2 Plantation 1 $7.5 $6 Plantation 2 $6.5 $7.5 Plantation 3 $8 $6

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