SOLUTION: 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 h

Algebra.Com
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?
~~~~~~~~~~~~~~~~


            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.



RELATED QUESTIONS

A computer store sells two types of laptops, an all-purpose laptop and a gaming laptop.... (answered by Theo)
A computer store sells two types of laptops, an all-purpose laptop and a gaming laptop.... (answered by ewatrrr)
A laptop computer is purchased for $1200 . Each year, its value is 70% of its value the... (answered by rfer,josmiceli,MathTherapy)
a computer company is purchased $1700. each year , its value is 75% of its value the year (answered by fion23)
A laptop computer is purchased for $5000 . Each year, its value is 70% of its value the... (answered by Boreal)
A laptop computer is purchased for . Each year, its value is of its value the year... (answered by Alan3354,ikleyn)
A laptop computer is purchased for $2600. Each year, its value is 80% of its value the... (answered by Alan3354)
The normal selling price of a laptop computer was $720. After a discount of 25%, the... (answered by josmiceli)
The shop price of a laptop computer was $640. After discount of 25% the price was still... (answered by robertb)