Question 1172678: Shizuka Motors makes two models of motorcycles, GSXR and Reyder. Both models pass
through assembling and painting. GSXR needs 4 hours of assembling and 3 hours of
painting. Reyder needs 8 hours in assembling and 12 hours in painting. Machines in
assembling are available for 64 hours while those in painting, 72 hours. The profit for each
GSXR is ₱2700 and ₱3600 for Reyder. How many GSXR and Reyder must be
manufactured to maximize the profit? What is the maximum profit?
Answer by ikleyn(52790)   (Show Source):
You can put this solution on YOUR website! .
Shizuka Motors makes two models of motorcycles, GSXR and Reyder. Both models pass
through assembling and painting. GSXR needs 4 hours of assembling and 3 hours of
painting. Reyder needs 8 hours in assembling and 12 hours in painting. Machines in
assembling are available for 64 hours while those in painting, 72 hours. The profit for each
GSXR is ₱2700 and ₱3600 for Reyder. How many GSXR and Reyder must be
manufactured to maximize the profit? What is the maximum profit?
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In this site, there is a lesson explaining how to solve such problem.
This lesson is
- Solving minimax problems by the Linear Programming method
In particular, problems 2, 3 and 4 of this lesson are the TWINS (the exact analogues) to your problem.
So, you have a happy opportunity to learn the subject from there.
Having this lesson (these solved problems) as TEMPLATES in front of you,
you will be able to solve your problem on your own, making your dream a reality.
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Comment from student: hello the solution must be matrix and its different to what you say maam.
My response :
If it is your comment related to this problem, then this comment is incorrect.
I solved the problem in a way as it is pointed in my instruction, and got the answer:
The optimum solution is 16 hours for machine GSXR and 0 (zero) hours for machine Reyder
producing maximum profit of ₱ 43200.
If you insist on your comment, then what is your rationale and your source ?
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