Question: 1. Consider the following LP problem: Maximum profit = 5X + 6Y subject to 2X + Y < = 120 2X + 3Y < =

1. Consider the following LP problem:

Maximum profit = 5X + 6Y

subject to

2X + Y < = 120

2X + 3Y < = 240

X,Y > = 0

What is the optimal solution to this problem? Solve it graphically

2. Solve the following LP problem by using the graphical procedure and by using Excel:

Maximum profit = 4X + 3Y

subject to the contraints

2X + 4Y < = 72

3X + 6Y > = 27

-3X + 10Y > = 0

X,Y > = 0

What is the optimal solution to this problem?

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