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Mathematics - Quantitative Methods

Maximize:
Z = 5x1 + 3x2
Subject to:
6x1 + 3x2 <= 18
15x1 + 20x2 <= 60
x1 , x2 >= 0

1. What is the optimal profit?
2.4
6.4
12.0
15.6
21.4

2. What is the value of x1 at the optimal solution?
1.8
2.0
2.4
3.6
3.8

3. What is the value of x2 at the optimal solution?
1.0
1.2
1.6
1.8
2.6

Consider the following linear programming problem:

Minimize: Z = 10x1 + 20x2
Subject to:
x1 + x2 >= 12
2x1 + 6x2 >= 40
x1 , x2 >= 0

1. What is the minimum cost?
100
120
140
160
180

2. What is the value of x1 at the optimal solution?
8
10
12
16
20

3. What is the value of x2 at the optimal solution ?
2
3
4
6
7

Solution Summary

Answers are provided.

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