Consider the following linear programming problem Мах .03с .04N s.t. .25 C 2 30,000 .20 N 2 10,000 .25 C 40 N 2 4C + 6N s 1,200,000 C, N, 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 C and N 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?

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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Quantitative Analysis - Maximization
Consider the following linear programming problem
Max
.03C +
.04N
s.t.
.25 C
2 30,000
.20 N 2 10,000
.25 C - .40 N 2
4C +
6N s 1,200,000
C, N, 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 C and N
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?
Transcribed Image Text:Consider the following linear programming problem Max .03C + .04N s.t. .25 C 2 30,000 .20 N 2 10,000 .25 C - .40 N 2 4C + 6N s 1,200,000 C, N, 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 C and N 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?
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