Question: Max Z = 2x + 3y Constraints: x + y

Max Z = 2x + 3y

Constraints:

x + y <= 3

x + 2y <= 4

1) Find the shadow price for each. Which constraint is better to change? Why?

2) Find the range of slopes, and the exact slopes, for the objective function which will make each corner point, and each line segment between them, optimal

3) How much can you change the coefficient of x by to get the slope of the objective function in that range or at that value?

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