A confectioner has 600 pounds of chocolate, 100 pounds of nuts, and 50 pounds of fruits in inventory with which to make three types of candy: Sweet Tooth, Sugar Dandy, and Dandy Delite. A box of Sweet Tooth uses 3 pounds of chocolate, 1 pound of nuts and 1 pound of fruits, and sells for $8. A box of Sugar Dandy requires 4 pounds of chocolate and ½ pound of nuts and sells for $5. A box of Dandy Delite requires 5 pounds of chocolate, ¾ pounds of nuts and 1 pound of fruit and sells for $6. How many boxes of each type of candy should be made from the available inventory to maximize revenue (sales)?

Question

A confectioner has 600 pounds of chocolate, 100 pounds of nuts, and 50 pounds of fruits in inventory with
which to make three types of candy: Sweet Tooth, Sugar Dandy, and Dandy Delite. A box of Sweet Tooth uses
3 pounds of chocolate, 1 pound of nuts and 1 pound of fruits, and sells for $8. A box of Sugar Dandy requires 4
pounds of chocolate and ½ pound of nuts and sells for $5. A box of Dandy Delite requires 5 pounds of
chocolate, ¾ pounds of nuts and 1 pound of fruit and sells for $6. How many boxes of each type of candy
should be made from the available inventory to maximize revenue (sales)?

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