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?

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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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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