Question: solve the following problem: (10 marks) Consider the following LP problem: Maximize profit = $5X + $6Y Subject to: 2X +3Y 240 2X + Y

solve the following problem: (10 marks)

Consider the following LP problem:

Maximize profit = $5X + $6Y

Subject to:

2X +3Y 240

2X + Y 120

X, Y 0

Answer the following questions:

  1. Using the simultaneous equations method to find the quantities of optimal point (x, y) from the above constraints. (No graph is needed) (7 marks)
  2. What is the slack for constraint (1)? And explain the term slack (3 marks)

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