SOLUTION: A fruit juice company makes two special drinks by blending apple and pineapple juices. The first drink uses 30% apple juice and 70% pineapple juice, while the second drink uses 6

Question 1196249: A fruit juice company makes two special drinks by blending apple and pineapple juices. The first drink
uses 30% apple juice and 70% pineapple juice, while the second drink uses 60% apple juice and 40%
pineapple juice. There are 1000 liters of apple juice and 1500 liters of pineapple juice available. If the
profit for the first drink is N$.60 per liter and that for the second drink is N$.50, use the simplex
method to find the number of liters of each drink that should be produced in order to maximize the
profit.
Found 2 solutions by amoresroy, ikleyn:
Answer by amoresroy(361)   (Show Source): You can put this solution on YOUR website!
Let x = the number of liters of 1st drink
y = the number of liters of 2nd drink
Equations
(1) 0.3x + 0.6y = 1,000
(2). 0.7x + 0.4y = 1,500
Multiply equation (2) by 1.5
(3) 1.05x +0.6y = 2,250
Subtract equation (3) by equation (1)
.75x = 1,250
x = 1,667
y = 833
Answer
1,667 liters of 1st drink and 833 liters of 2nd drink should be produced.
Solved.

Answer by ikleyn(52797)   (Show Source): You can put this solution on YOUR website!
.

            Regarding the post by @amoresroy, the numbers in the answer are correct,

            but the solution itself is INADEQUATE.

This problem is a Linear Programming problem.

On solving typical Linear Programming problems, see the lesson
    - Solving minimax problems by the Linear Programming method
in this site.

Learn the subject from there.

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