# Quantitative Methods : Linear Programming

1.

For the linear program:

Max 4A + 1B

s.t.

10A + 2B < 30

3A + 2B < 12

2A + 2B < 10

A, B > 0

a. write this in standard form.

b. solve the problem using the graphic solutions procedure.

c. what are the values of the three slack variables at the optimal solutions?

2.

Consider the follwoing linear program:

Min 2A + 2B

s.t.

1A + 3B < 12

3A + 1B > 13

1A - 1B = 3

A, B > 0

a. show the feasible region

b. what are the extreme points of this region?

c. find the optimal solution using the graphical solution procedure.

https://brainmass.com/math/linear-programming/quantitative-methods-linear-programming-154838

#### Solution Summary

An LP problem is solved using a graphical method.

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