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Linear Programming A candy company makes three types of candy, solid-center, fruit-filled, and cream-filled, and packages...

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Basic Math

Linear Programming A candy company makes three types of candy,solid-center, fruit-filled, and cream-filled, and packages thesecandies in three different assortments. A box of assortment Icontains 4 solid-center, 4 fruit-filled, and 12 cream-filledcandies, and sells for $17.95. A box of assortment II contains 12solid-center, 4 fruit-filled, and 4 cream-filled candies, and sellsfor $18.45. A box of assortment III contains 8 solid-center, 8fruit-filled, and 8 cream-filled candies, and sells for $20.85. Themanufacturing costs per piece of candy are $0.01 for solid-center,$0.02 for fruit-filled, and $0.03 for cream-filled. The company canmanufacture 4,800 solid-center, 4,000 fruit-filled, and 5,600cream-filled candies weekly. How many boxes of each type should thecompany produce each week in order to maximize their profits? Whatis the maximum profit? *Will thumbs up for correct answer, thankyou*

Answer & Explanation Solved by verified expert
4.0 Ratings (604 Votes)
By given conditions profit in selling each box of assortment Iis 17954001400212003 1747Profit in selling each box of assortment II is 18451200140024003 1813Profit in selling each box of assortment III is 2085800180028003 2037Let the company should produce x boxes of assortment I y boxesof assortment II z boxes of assortment III each weekThen the problem becomesMaximize A 1747x1813y2037zSubject to    See Answer
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