a company makes three types of candy and packages them in three assortments. Assortment I contains 4 cerry, 1 lemon and 12 lime candies and sells for a profit of $4.Assortment II contains 12 cherry, 4 lemon, and 4 lime candies and sells for a profit of $3. Assortment III contains 8 cherry, 8 lemon and 8 lime candies and sell for a profit of $5. they make 4800 cherry, 4200 lemon, and 6,000 lime candies weekly. how many 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?

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