Question: Question (4): solve the following problem: (10 marks) Consider the following LP problem: Maximize profit = $5X + $6Y Subject to: 2X +3Y 0 Answer

Question (4): solve the following problem: (10 marks) Consider the following LP problem: Maximize profit = $5X + $6Y Subject to: 2X +3Y 0 Answer the following questions: a- Use the simultaneous equations method to find the quantities of optimal point (x, y) from the above constraints. (No graph is needed) (6 marks) b- What is the slack for constraint (1)? And explain the term slack (4 marks)

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