A company produces two products A and B which have profits o

A company produces two products, A and B, which have profits of $9 and $7, respectively. Each unit of product must be processed on two assembly lines, where the required production times are as follows: Product Resource Requirements per Unit Line 1 Line 2 A 11 5 B 6 9 Total Hours 65 40 a. Formulate a linear programming model to determine the optimal product mix that will maximize profit. b. What are the sensitivity ranges for the objective function coefficients? c. Determine the shadow prices for additional hours of production time on line 1 and line 2 and indicate whether the company would prefer additional line 1 or line 2 hours.

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