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  3. 7-31 consider the following lp problem: maximize

7-31 Consider the following LP problem: Maximize profit=5X+6Y subject to2X+Y≤120, 2X+3Y≤240X,Y≥0 What is the optimal solution to this...

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Basic Math

  1. 7-31 Consider the following LP problem:

Maximize profit=5X+6Y

subject to2X+Y≤120, 2X+3Y≤240X,Y≥0

  1. What is the optimal solution to this problem? Solve itgraphically.
  2. If a technical breakthrough occurred that raised the profit perunit of X to $8, would this affect the optimalsolution?
  3. Instead of an increase in the profit coefficient X to$8, suppose that profit was overestimated and should only have been$3. Does this change the optimal solution?
  1. 7-32 Consider the LP formulation given in Problem 7-31. If thesecond constraint is changed from 2X + 3Y≤2402X + 3Y≤240 to2X+4Y≤240,2X+4Y≤240, what effect will this have on the optimalsolution?

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