4.14. A company manufactures three products: A, B, and C. Each unit of product A requires 1 hr of engineering service, 10 hr

Can you please solve  this question using MATLAB

4.14. A company manufactures three products: A, B, and C. Each unit of product A requires 1 hr of engineering service, 10 hr of direct labor, and 3 lb of material. To produce one unit of product B, it requires 2 hr of engineering, 4 hr of direct labor, and 2 lb of material. Each unit of product C requires 1 hr of engineering, 5 hr of direct labor, and 1 lb of material. There are 100 hr of engineering, 700 hr of labor, and 400 lb of material available. Since the company offers discounts for bulk purchases, the profit figures are as shown below: Product A Product B Product C Sales Unit Unit Unit Sales, Units Sales Units Units Profit, $ Profit, $ Profit, 0-40 10 0-50 6 0-100 5 40-100 50-100 4 Over 100 4 100-150 Over 100 3 Over 150 7 For example, if 120 units of A are sold, the first 40 units will earn a profit of $10/unit, the next 60 will earn $9/unit, and the remaining 20 210 LINEAR PROGRAMMING units $8/unit. Formulate a linear program to determine the most prof itable product mix



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