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Linear program Problem

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solution


Question

1. Identify the feasible region for the following set of constraints;3x 2y 0 2x y 200 x 150;x,y 0;2. Given the linear program;Max 3x? 4y;s.t. x 2y 8;x 2y 12 2x y 16 x,y 0;Summer 2014;a. Write the problem in standard form. Identify slack/surplus variables.;b. Solve the problem using the graphical solution procedure.;c. What are the values of the three slack/surplus variables at the optimal solution?;3. Consider the following LP problem;Maximize Profit 5x? 6y Subjectto 2x y 120;2x 3y 240 x,y 0;a. Solve this problem using Excel Solver. Provide answer report and sensitivity report.;b. What is the optimal solution to this problem?;c. If a technical breakthrough occurred that raised the profit per unit of x to $8, would this affect the optimal solution?;d. If the profit per unit of x was overestimated and only should have been $4.5 but the profit per unit of y was underestimated and should have been $6.5, would this affect the optimal solution?;e. If the right-hand side of constraint 1 were increased by 1 unit, how would the profit change?;f. If the right-hand side of constraint 2 were increased by 1 unit, how would the profit change?;g. If you were to choose to increase the right-hand side by 1 unit for one constraint, which constraint would you choose?

 

Paper#35765 | Written in 18-Jul-2015

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