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2. In making her budget, Lauren looks for places she can cut back. Which one of the following expenses would be
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The maximized value of the objective function is 38
The objective function is given as:
Max P = 5x + 3y
The constraints are given as:
- 3x + 6y ≤ 48
- 2x + 8y ≤ 56
- x ≥ 0 y ≥ 0
To do this, we make use of the graphical method.
See attachment for the graph of the constraints.
From the graph, we have the following feasible point
Substitute 4 for x and 6 for y in the objective function.
So, we have:
Hence, the maximized value of the objective function is 38
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