Question

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 Ill contains 8 cherry, 8 lemon, and 8 lime candies, and sells for a profit of $5.00. They can make 4,800 cherry, 4,200 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 (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. OA. The maxim urm profit is S when□ boxos of assortment l □ boxes of assortment" and□ boxes of assortment mare produ od O B. There is no way for the company to maximize its proft

Answer 1

Given that maxi profit = 4x + 3y + 5z subject to 4x + 12y + 8z lessthanorequalto 4800 4x + 4y + 8z lessthanorequalto 4200 12x + 4y + 8z lessthanorequalto 6000 squaring there equations we get x = 225 y = 75 z = 375 maxi-profit = 4 (225) + 3 (75) + 5 (375) = 3000 = 900 + 225 + 1875 = 3000