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Given the following product mix LP model: Let: x1 Number of Sofas to Manufacture

ID: 2948776 • Letter: G

Question

Given the following product mix LP model: Let: x1 Number of Sofas to Manufacture x2 Number of Ottomans to Manufacture x3 Number of Recliners to Manufacture x4 Number of Lounges to Manufacture The objective is: MAX Profit-Z = $100 x1 + $50 x2 + $150x3 + $75x4 Constraints: #1: #2 #3: #4: #5: 2x1 + 1X2+4x3 + 3x4 s 800 (hours of machine time) 5x1 +4x2 + 7x3 + 6 x4 s 1200 (hours of labor) 8x1 +2x2 +4x3 + 6x4 s 250 (yards of fabric) 10 x1 + 5 x2 + 15x3 + 20x4 s 400 (board-feet of wood) X2zx4 (additional requirement) The "150" in the objective function indicates: the total number of Recliners to manufacture in order to maximize profht the amount of profit realized for each Recliner manufactured 0 the upper limit (maximum) on the number of Recliners to manufacture the amount of total proft recognized from manufacturing Recliners

Explanation / Answer

The interpretations of the various things here are given as:

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