# Statistics - Minimize Z = 1.80S + 2.20T

2) Minimize Z = 1.80S + 2.20T

Subject to: 5S + 8T => 200

15S + 6T => 240

4S + 12T => 180

T => 10

S, T => 0

(a) What are the optimum values of the decision variables and Z?

(b) Do any of the constraints have (nonzero) slack? If yes, which one(s) and how much slack does each have?

(c) Do any constraints have (nonzero) surplus? If yes, which one(s) and how much surplus does each have?

(d) Are any constraints redundant? If yes, which one(s)? Explain briefly.

https://brainmass.com/statistics/hypothesis-testing/statistics-minimize-z-275436

#### Solution Preview

Problem 2

2) Minimize Z = 1.80S + 2.20T

Subject to: 5S + 8T => 200

15S + 6T => 240

4S + 12T => 180

T => 10

...

#### Solution Summary

The expert uses statistics to minimize values. The optimum values of the decision variables are determined. A complete, neat and step-by-step solution is provided in the attached file.