Candy Co has equipment set to make 100 pound batches at atime. There is a chocol

Question

Candy Co has equipment set to make 100 pound batches at atime. There is a chocolate shortage and the company can getonly 120 pounds of chocolate in the next shipment. In 1 week, thecooking and processing equipment is available for a total of 42hours. During the same period, employees have a total of 56work hours available for packing. One of fudge needs 20 lbsof chocolate, One batch of cremes needs 25 lbs of chocolate. The fudge needs 120 minutes to cook and process, the cremes need150 minutes, and the pralines need 200 minutes. The packingtime, in minutes, for each candy in 1 lb box, is as follows: 1 minfor fudge, 2 mins for cremes and 3 mins for pralines. Determine how many batches of each type candy the companyshould make, assuming the profit for pound is .50 cent on fudge,.40 cent on cremes, .45 cent on pralines. Also find themaximum profit for week. Candy Co has equipment set to make 100 pound batches at atime. There is a chocolate shortage and the company can getonly 120 pounds of chocolate in the next shipment. In 1 week, thecooking and processing equipment is available for a total of 42hours. During the same period, employees have a total of 56work hours available for packing. One of fudge needs 20 lbsof chocolate, One batch of cremes needs 25 lbs of chocolate. The fudge needs 120 minutes to cook and process, the cremes need150 minutes, and the pralines need 200 minutes. The packingtime, in minutes, for each candy in 1 lb box, is as follows: 1 minfor fudge, 2 mins for cremes and 3 mins for pralines. Determine how many batches of each type candy the companyshould make, assuming the profit for pound is .50 cent on fudge,.40 cent on cremes, .45 cent on pralines. Also find themaximum profit for week.

Explanation / Answer

Online Simplex app. http://www.zweigmedia.com/RealWorld/simplex.html Capacity: 100 lb batch (each batch is 100 lb) Max chocolate usage: 120 lb in one week Cooking capacity: 42 hours, 2520 minutes Work hours packing: 56 hours 2260 minutes X: Fudge:    20 lb ; 120 minutes; 1min/lb Y: Cremes: 25 lb;   150 minutes; 2min/lb Z: Pralines:         ;   200 minutes; 3min/lb Maximize profit = 50x + 40y +45z                           Numbers are in ($/lb * 100 lb) i.e. each batch is 100 (thismakes $dollars) x>=0 y>=0 z>=0 Poundage:        20x + 25y

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