Consider the following linear programming problem Мax .03С .04N s.t. > 30,000 > 10,000 .25 C .20 N .25 C .40 N 4 C 6 N 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?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the following linear programming problem
Max
.030
.04N
s.t.
> 30,000
> 10,000
25 C
.20 N
.25 C
.40 N
4 C
6 N
3 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 .030 .04N s.t. > 30,000 > 10,000 25 C .20 N .25 C .40 N 4 C 6 N 3 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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