Problem 7-14 (pg 278) Using the following equations, graph the constraints and solve using the corner point approach ONLY. Let: X1 = number of air conditioners to be produced X2 = number of fans to be produced Maximize profit = 25X1 + 15X2 subject to 3X1 + 2X2 <= 240 (wiring) 2X1 + 1X2 <= 140 (drilling) X1, X2 >= 0
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- Problem 7-14 (pg 278) Using the following equations, graph the constraints and solve using the corner point approach ONLY.
Let: X1 = number of air conditioners to be produced
X2 = number of fans to be produced
Maximize profit = 25X1 + 15X2
subject to 3X1 + 2X2 <= 240 (wiring)
2X1 + 1X2 <= 140 (drilling)
X1, X2 >= 0
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- 23. Consider the following constraints from a two-variable linear program: X ≥ 1; Y ≥ 1; X + Y ≤ 9. If these are the only constraints, which of the following points (X, Y) CANNOT be the optimal solution? Part 2 A. (1, 8) B. (8, 1) C. (4, 4) D. (1, 1) E. The question cannot be answered without knowing the objective function.Example 1. The Big M Method solve LP with mixed constraints Minimize: Z = 4x1 + 2x2 + x3 Subject to: 2x1 + 3x2 + 4x3 ≤ 14 3x1 + x2 + 5x3 ≥ 4 x1 + 4x2 + 3x3 ≥ 6 x1, x2, x3≥ 0A company supplies goods to three customers, who eachrequire 30 units. The company has two warehouses.Warehouse 1 has 40 units available, and warehouse 2 has 30units available. The costs of shipping 1 unit from warehouseto customer are shown in Table 7. There is a penalty for eachunmet customer unit of demand: With customer 1, a penaltycost of $90 is incurred; with customer 2, $80; and withcustomer 3, $110. Formulate a balanced transportationproblem to minimize the sum of shortage and shipping costs.
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