Question: WILL DEFINITELY UPVOTE IF I GET A PROPER ANSWER !! A firm makes three products, Product A, Product B, and Product C. Product A and

WILL DEFINITELY UPVOTE IF I GET A PROPER ANSWER !!

A firm makes three products, Product A, Product B, and Product C. Product A and product B require the following three processes - fabrication, assembly, and inspection. Product C requires only the assembly and inspection processes. Each unit of Product A requires 9 minutes of fabrication, 7 minutes of assembly, and 8 minutes of inspection; each unit of product B requires 12 minutes of fabrication, 5 minutes of assembly, and 6 minutes of inspection; and each unit of product C requires 5 minutes of assembly and 15 minutes of inspection. The department has 1000 minutes of capacity available during the next planning period for fabrication, 800 minutes for assembly, and 1500 minutes for inspection. The firm has estimated that no more than 100 units of product C can be sold in the planning period. On the other hand, the firm has already received an order for 25 units of product B from one of its customers for the planning period.

Product A sells for $4 per unit, product B sells for $5 per unit, and product C sells for $7 per unit. Suppose the firm wants to maximize total revenue from the sale of the three products. Find the optimum product mix.

Define the unknown quantities (decision variables) and formulate the objective function and all of the constraints in the problem (label each constraint preferably by the names used in the problem). Show the complete linear programming model here before you move to the next question.

ALSO PLEASE PROVIDE THE SENSITIVITY REPORT AND ANSWER REPORT..

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