The Kartick Company is trying to determine how much of each of two products to produce over
Question:
Labor required in each department
A linear program for this situation is as follows:
Let x1 = the amount of product 1 to produce
x2 = the amount of product 2 to produce
Maximize 33 x1 = 24 x2
s.t.
1.0 x1 + .30 x2 ¤ 100 Department A
.30 x1 + .12 x2 ¤ 36 Department B
.15 x1 + .56 x2 ¤ 50 Department C
x1, x2 ¥ 0
Mr. Kartick (the owner) used trial and error with a spreadsheet model to arrive at a solution. His proposed solution is x1 = 75 and x2 = 60, as shown below in figure. He said he felt his proposed solution is optimal. Is his solution optimal? Without solving the problem, explain why you believe this solution is optimal or not optimal.
MR. KARTICKS TRIAL-AND-ERRORMODEL
Step by Step Answer:
An introduction to management science quantitative approaches to decision making
ISBN: 978-1111532222
13th edition
Authors: David Anderson, Dennis Sweeney, Thomas Williams, Jeffrey Cam