A company makes three types of candy and packages them in three assortments. Assortment I contains 4 sour, 4 lemon, and 12 lime candies, and sells for P94. Assortment II contains 12 sour, 4 lemon, and 4 lime candies, and sells for P76. Assortment III contains 8 sour, 8 lemon, and 8 lime candies, and sells for P110. Manufacturing costs per piece of candy are P2 for sour, P2.50 for lemon, and P3 for lime. They can make 5,200 sour, 3,800 lemon, and 6,000 lime candies weekly. How many boxes of each type should the company produce each week in order to maximize its profit? What is the maximum profit?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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  1. A company makes three types of candy and packages them in three assortments. Assortment I contains 4 sour, 4 lemon, and 12 lime candies, and sells for P94. Assortment II contains 12 sour, 4 lemon, and 4 lime candies, and sells for P76. Assortment III contains 8 sour, 8 lemon, and 8 lime candies, and sells for P110. Manufacturing costs per piece of candy are P2 for sour, P2.50 for lemon, and P3 for lime. They can make 5,200 sour, 3,800 lemon, and 6,000 lime candies weekly. How many boxes of each type should the company produce each week in order to maximize its profit? What is the maximum profit?
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