Question: Problem Statement: Linear programming is used to obtain optimal solutions for operations research. Using linear programming allows researchers to find the best, most economical solution

Problem Statement: Linear programming is used to

Problem Statement: Linear programming is used to obtain optimal solutions for operations research. Using linear programming allows researchers to find the best, most economical solution to a problem within all of its limitations, or constraints. Sensitivity Analysis deals with finding out the amount by which we can change the input data for the output of our linear programming model to remain comparatively unchanged. The sensitivity analysis is used to evaluate the effects of the input variation on the output variation. Suppose the company produces glass products and owns 3 plants. Management decides to produce two new products. Product Ihas 1 hour production time in Plant 1,3 hours production time in Plant 3, $3,000 profit per batch Product 2 has 2 hours production time in Plant 2, 2 hours production time in Plant 3 Production time available each week is Plant 1= 4 hours , Plant 2=12 hours , Plant 3= 18 hours. Objective: 1. Develop LP model also write standard LP form of LP Model 2. Determine the optimum product mix by Graphical Interpretation that will maximize the profit 3. Examine the graph. The shadow price for plant 2 availability hours. Problem Statement: Linear programming is used to obtain optimal solutions for operations research. Using linear programming allows researchers to find the best, most economical solution to a problem within all of its limitations, or constraints. Sensitivity Analysis deals with finding out the amount by which we can change the input data for the output of our linear programming model to remain comparatively unchanged. The sensitivity analysis is used to evaluate the effects of the input variation on the output variation. Suppose the company produces glass products and owns 3 plants. Management decides to produce two new products. Product Ihas 1 hour production time in Plant 1,3 hours production time in Plant 3, $3,000 profit per batch Product 2 has 2 hours production time in Plant 2, 2 hours production time in Plant 3 Production time available each week is Plant 1= 4 hours , Plant 2=12 hours , Plant 3= 18 hours. Objective: 1. Develop LP model also write standard LP form of LP Model 2. Determine the optimum product mix by Graphical Interpretation that will maximize the profit 3. Examine the graph. The shadow price for plant 2 availability hours

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