Business Applied Decision Making

Linear programming is beneficial in production scheduling, production planning, and logistics management. The use of linear programming will help Klein industries in solving complex problems and in improving quality decision. The linear optimization model is outlined as follows: Total Profit ($) = 20.50 small + 34.00 medium + 42.00 large Production constraints are: 14,000 <= small <= 21,000 6,200 <= medium <= 12,500 2,600 <= large <= 4,200 Time constraints are: 0.40 small + 0.70 medium + 0.80 large <= 23,400 0.60 small + 1.00 medium + 1.20 large <= 23,400 1.40 small + 2.60 medium + 3.10 large <= 46,800 Based on the calculation, the amount of every type of air compressor that the company should products in order to maximize profit is 16,158 for large, 6,200 for medium and 2,600 for small. In addition, the profit units are outlined as follows:   Small Medium Large Unit profit $20.50 $34.00 $42.00 Production time per unit 2.40 4.30 5.10 Profit per production time $8.54 $7.91 $8.24