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Linear Programming Problem A small firm makes three similar product inspection/

ID: 454844 • Letter: L

Question

Linear Programming Problem A small firm makes three similar product inspection/ and drilling. Product A r per unit; product C requires 8 minutes of milling, 4 minutes for insp hours contributes $2.40 per unit to profit, B contributes $2.50 per unit, and C s, which all follow the same three-step process, consisting of milling requires 12 minutes of milling, 5 minutes for inspection, and 10 minutes of drilling product B requires 10 minutes of milling, 4 minutes for inspection, and 8 minutes of drilling per unit; and requires 8 minutes of milling. 4 minutes for inspection, and 16 minutes of drillingl The department has 20 available during the next period for milling, 15 hours for inspection, and 24 hours for drilling. Product A contributes $2.5 per unit. The aim is to maximize profit. The computer solution of the problem is provided belovw Objective Cell (Max Original Value Final Va ie Cell Name SHS2 Objective 325 Variable Cells Original Value 0 Fingli value Cell Name SCS2 X SDS2 X2 SES2 X3 80 50 Constraints Slack Name ell Value Formula Status Surplus Cell SBS6 Milling LHS Binding 1200 $B$6

Explanation / Answer

Here the Final value of 325 states that the total profit that can be derived out of the no. of available hours is 325.

ANd Product B, and Product C will contribute 80, 50$ respectively to serve to the profit based on the total hours available for mining, drilling and inspection. Since objective is to maximize the profit A product will not be delivered as it creates less profit.

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