A company makes three types of candy and packages them in three assortments. Assortment I contains 4 cherry, 4 lemon, and 12 lime candies, and sells for a profit of $4.00. Assortment II contains 12 cherry, 4 lemon, and 4 lime candies, and sells for a profit of $3.00. Assortment III contains 8 cherry, 8 lemon, and 8 lime candies, and sells for a profit of $5.00. They can make 5,000 cherry, 4,000 lemon, and 5,400 lime candies weekly. How many boxes of each type should the company produce each week in order to maximize its profit (assuming that all boxes produced can be sold)? What is the maximum profit? Select the correct choice below and fill in any answer boxes within your choice. O A. The maximum profit is $ when boxes of assortment I, boxes of assortment Il and boxes of assortment III are produced. O B. There is no way for the company to maximize its profit.

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A company makes three types of candy and packages them in three assortments. Assortment I contains 4 cherry, 4 lemon, and 12 lime candies, and sells for a profit of
$4.00. Assortment II contains 12 cherry, 4 lemon, and 4 lime candies, and sells for a profit of $3.00. Assortment III contains 8 cherry, 8 lemon, and 8 lime candies, and
sells for a profit of $5.00. They can make 5,000 cherry, 4,000 lemon, and 5,400 lime candies weekly. How many boxes of each type should the company produce each
week in order to maximize its profit (assuming that all boxes produced can be sold)? What is the maximum profit?
Select the correct choice below and fill in any answer boxes within your choice.
O A. The maximum profit is $
when
boxes of assortment I,
boxes of assortment Il and
boxes of assortment III are produced.
O B. There is no way for the company to maximize its profit.
Transcribed Image Text:A company makes three types of candy and packages them in three assortments. Assortment I contains 4 cherry, 4 lemon, and 12 lime candies, and sells for a profit of $4.00. Assortment II contains 12 cherry, 4 lemon, and 4 lime candies, and sells for a profit of $3.00. Assortment III contains 8 cherry, 8 lemon, and 8 lime candies, and sells for a profit of $5.00. They can make 5,000 cherry, 4,000 lemon, and 5,400 lime candies weekly. How many boxes of each type should the company produce each week in order to maximize its profit (assuming that all boxes produced can be sold)? What is the maximum profit? Select the correct choice below and fill in any answer boxes within your choice. O A. The maximum profit is $ when boxes of assortment I, boxes of assortment Il and boxes of assortment III are produced. O B. There is no way for the company to maximize its profit.
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