Question 1184186: A computer company has two type of laptop products, its flagship TURBO and the
newer laptop called DELUXE.
Every unit of Turbo has a profit of P1,000 while every unit of Deluxe has a profit of
P6,000.
The demand is limited to at most 200 Turbo and at most 300 of Deluxe.
The current workforce can produce not more than 400 unit of both models of
laptop.
How much of each should it produce to maximize profits?
Answer by ikleyn(52803)   (Show Source):
You can put this solution on YOUR website! .
A computer company has two type of laptop products, its flagship TURBO and the newer laptop called DELUXE.
Every unit of Turbo has a profit of P1,000 while every unit of Deluxe has a profit of P6,000.
The demand is limited to at most 200 Turbo and at most 300 of Deluxe.
The current workforce can produce not more than 400 unit of both models of laptop.
How much of each should it produce to maximize profits?
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There are two ways to solve this problem.
One way is to place the problem into the framework of usual/typical linear programming problem and solve it formally.
Another approach is to apply common sense.
I will present the solution based on common sense.
The right strategy is the most agressive strategy to maximize profit:
It is to produce and cell as many as possible product units, what bring the maximum profit, and then
add to it as many as possible less profitable units, to be and to remain in the frame of given restrictions.
Following this strategy, the company should produce 300 units of DELUXE and 400-300 = 100 units of TURBO.
It will have then the maximum profit of 300 * P6000 + 100 * P1000 = P 1,900,000. ANSWER
Solved.
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