A candy company makes a chocolate nut mix and and a chocolate fruit mix. The nut mix uses 2 pounds of chocolate, 2 pounds of nuts and no fruit. The fruit mix uses 4 pounds of chocolate,no nuts and 2 pounds of fruit. The nut mix brings in $7 profit and the fruit mix brings in $8 profit. If the company has 1000 pounds of chocolate, 900 pounds of nuts, and 400 pounds of fruit in stock, how many boxes of each mix should it make to maximize profit? What is that profit?

asked by Ryan

9 years ago

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1 answer

If there are x boxes of nuts and y boxes of fruit, you want to

maximize p=7x+8y subject to
2x+4y <= 1000
2x <= 900
2y <= 400

Now use your favorite linear programming tool.

answered by Steve

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0

Question

A candy company makes a chocolate nut mix and and a chocolate fruit mix. The nut mix uses 2 pounds of chocolate, 2 pounds of nuts and no fruit. The fruit mix uses 4 pounds of chocolate,no nuts and 2 pounds of fruit. The nut mix brings in $7 profit and the fruit mix brings in $8 profit. If the company has 1000 pounds of chocolate, 900 pounds of nuts, and 400 pounds of fruit in stock, how many boxes of each mix should it make to maximize profit? What is that profit?

1 answer

If there are x boxes of nuts and y boxes of fruit, you want to

maximize p=7x+8y subject to
2x+4y <= 1000
2x <= 900
2y <= 400

Now use your favorite linear programming tool.

Steve · Answer

If there are x boxes of nuts and y boxes of fruit, you want to maximize p=7x+8y subject to 2x+4y <= 1000 2x <= 900 2y <= 400 Now use your favorite linear programming tool.