Who can help me solve this math problem?

merrychord

Mixing Juice

You work at a store that sells bottled fruit juice.You are trying to decide how much of two different blends of apple juice and pineapple juice to prepare.

Blend A:
30% of Apple Juice, 70% Pineapple Juice
Profit of $0.60 per liter
Blend B:
60% Apple Juice
40% Pineapple Juice
profit of $0.50 per liter

Fruit Juice in stock
1200 Liters of Apple Juice
1400 Liters of Pineapple Juice

How many liters of each blend should you prepare to maximize profit? Include equations, a graph, and an explaniation with your answer

Who can help me solve this math problem? Thanks

suse

设，Blend A： Apple Juice  X LITERS ; Pineapple Juice  Y LITERS.
    则 Blend B： Apple Juice  1200-X LITERS ; Pineapple Juice 1400-Y LITERS.
得方程：X/Y=3/7，
        （1200-X）/（1400-Y）=6/4
解得X=260， Y=840，
再求maximize profit：0.6（X+Y）+0.5（1200-X+1400-Y）=1410

只是个人意见！不知道对否。

merrychord

我的答案最后得出：X=840,但Y是pineapple=2/3(1200-840)=160,和你差了10，最后的利润是1420。可我这个做法好像不大对，因为要用两个不等式表达，而且还要画出图，我不知道问题到底出在哪里，你用的也是等式表达，而不是不等式？