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?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
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
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,