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# Linear Programming : Solving by a Graphical Method

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Let x be the number short-answer questions and y be the number of essay quesitons.

Given : 9 points for short - answer

25 points for essay.

x <=10, obviously x >=9

y<=10, obviously y >=3

x + y <=19 ( constraints)

Maximum score

Maximum Z= 9x + 25 y

Subject to the constraints,

x+y<=19,

x>=9, y >= 3

That's it,

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How do you set it up from here using the numbers in the equation to solve? How do I use those equations to come up with the answer?

https://brainmass.com/math/linear-programming/linear-programming-solving-graphical-method-58359

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Hi, here is the solution,

Let x be the number short-answer questions and y be the number of essay quesitons.

Given : 9 points for short - answer

25 points for essay.

x <=10, obviously x >=9 ...

#### Solution Summary

A linear programming problem is solved using graphical methods. The solution is detailed and well presented.

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