Question: Using the simplex method, find the optimal solution to the following LP: A company manufactures three products, A,B, and C. The sales volume for A

Using the simplex method, find the optimal solution to the following LP: A company manufactures three products, A,B, and C. The sales volume for A is at least 50% of the total sales of all three products. However, the company cannot sell more than 75 units of A per day. The three products use one raw material, of which the maximum daily availability is 240 pounds. The usage rates of the raw material are 2 lb per unit of A, 4 lb per unit of B and 3 lb per unit of C. The unit prices of A,B, and C are $20, $50, and $35 respectively.

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