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?
~~~~~~~~~~~~~~



In this site, there is a lesson explaining how to solve such problem.


This lesson is

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/misc/Solving-minimax-problems-by--the-Linear-Programming-method.lesson>Solving minimax problems by the Linear Programming method</A> 



In particular, &nbsp;problems &nbsp;2, &nbsp;3 &nbsp;and &nbsp;4 &nbsp;of this lesson are the &nbsp;TWINS &nbsp;(the exact analogues) &nbsp;to your problem.


So, &nbsp;you have a happy opportunity to learn the subject from there.


Having this lesson &nbsp;(these solved problems) &nbsp;as &nbsp;TEMPLATES &nbsp;in front of you, 

you will be able to solve your problem &nbsp;<U>on your own</U>, &nbsp;making your dream a reality.



----------


<U>Comment from student</U>: hello the solution must be matrix and its different to what you say maam.



<U>My response</U> :


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;If it is your comment related to this problem, then &nbsp;<U>this &nbsp;comment &nbsp;is &nbsp;incorrect</U>.


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;I solved the problem in a way as it is pointed in my instruction, and got the answer:


<pre>
          The optimum solution  is  16 hours for machine GSXR and 0 (zero) hours for machine Reyder

          producing maximum profit of ₱ 43200.
</pre>

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;If you insist on your comment, then what is your rationale and your source ?