How much does objective function coefficient for variable

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Reference no: EM133594546

Case: Implement the following LP problem in a spreadsheet. Use Solver to solve the problem using a Sensitivity Report. Use this information to answer the following questions:

MAX:	5X₁ + 4X₂
Subject to:	2X₁ + 4X₂	≤	20
	3X₁ + 5X₂	≤	15
	X₁, X₂	≥	0

Question 1: What range of values can the objective function coefficient for variable X1 assume without changing the optimal solution? (If there is no limit on how much the coefficient can increase or decrease, enter ∞.)The objective function coefficient for variable X1 can decrease by (?) or increase by (?)

Question 2: How much does the objective function coefficient for variable X2 have to increase before it enters the optimal solution at a strictly positive level? (Round your answer to three decimal places.)

Question 3: What is the optimal objective function value if X2 equals 1? (Round your answer to three decimal places.)

Question 4: What is the optimal objective function value if the RHS value for the second constraint changes from 15 to 22? (Round your answer to three decimal places.)

Question 5: Is the current solution still optimal if the coefficient for X2 in the second constraint changes from 5 to 1? Explain. (Round your answer to three decimal places.)If we change this coefficient from 5 to 1, then the new reduced cost for X2 for our current solution would be (?) .

Reference no: EM133594546

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