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*