A small firm makes three products, which all follow the same three-step process,

Question

A small firm makes three products, which all follow the same three-step process, which consists of milling, inspection, anil drilling. Product A requires (>> minutes of nulling, 5 minutes of inspection, and 4 minutes ol drilling; product B requires 2 5 minutes ot milling. 2 minutes of inspection, anti 2 minutes of drilling, and product i' requires 5 minutes of milling. 4 minutes of inspection, and K minutes of drilling. The department has 2t> hours available during the next period lor milling. 15 hours lor inspection, and 24 hours for drilling. Product A contributes S6.00 per unit to profit, product B contributes 54.00 per unit, and product (contributes $10.00 per unit. What is the optimum mix of products in terms of maximizing contributions to profits? Formulate a I P Model for this problem Scan your solution and save it in a pill file. Subnut the file by attaching.

Explanation / Answer

each hour one "C" and two each of "A" & "B" can be finished since C will take 17 minutes(5+4+8+)for each unit where as two each of B & C will take 43 minutes( B will take 2*6.5 minutes and C will take 2*15 minutes)

total time available is 59 hours( 20+15+24) hence a total of 59 units of C and 118 unints of B and A each can be produced

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