Consider the following linear programming problem Min 8S 3M s.t. s 1,200,000 60,000 3,000 50S + 100M 5S 4M M. S, M, 20 a. Write the problem in standard form. b. Use a graph to show each constraint and the feasible region. C. Identify the optimal solution point on your graph. What are the values of S and M at the optimal solution?
Consider the following linear programming problem Min 8S 3M s.t. s 1,200,000 60,000 3,000 50S + 100M 5S 4M M. S, M, 20 a. Write the problem in standard form. b. Use a graph to show each constraint and the feasible region. C. Identify the optimal solution point on your graph. What are the values of S and M at the optimal solution?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 33E
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Transcribed Image Text:Consider the following linear programming problem
Min
8S
3M
s.t.
< 1,200,000
60,000
3,000
50S
+ 100M
5S
4M
S, M, 2 0
a. Write the problem in standard form.
b. Use a graph to show each constraint and the feasible region.
C. Identify the optimal solution point on your graph. What are the values of S and
M at the optimal solution?
d. What is the optimal value of the objective function?
e. What are the values of slack and surplus variables at the optimal solution?
VI NAL
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