标题: Who can help me solve this math problem? [打印本页] 作者: merrychord 时间: 2002-11-28 09:24 标题: Who can help me solve this math problem?
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作者: suse 时间: 2002-11-28 10:14
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
