Sensitivity ranges for the objective function coefficients

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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                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. Show Sensitivity Range for the coefficient of # of units of product A in the objective function and sensitivity Range for the coefficient of # of units of product B in the objective function.                                                 

b. What is 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

Reference no: EM13841229

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