Caroline's quality candy confectionery is famous for fudge, chocolate crèmes, and pralines. Its candy-making equipment is set up to make 100-pound batches at a time. Currently there is a chocolate shortage and the company can get only 120 pounds of chocolate in the next shipment. On a week's run the confectionery's cooking and processing equipment is available for a total of 42 machine hours. During thedame period the employees have a total of 57 work hours available for packaging. A batch of fudge requires 20 pounds of chocolate while a batch of crèmes uses 25 pounds of chocolate. The cooking and processing take 120 minutes for a batch of fudge, 150 minutes for a batch of chocolate crèmes and 200 minutes fora batch of pralines.
Use the simplex method to solve
Determine how many batches of each type of candy the confectionery should make assuming that the profit per pound box is $0.50 on fudge, $0.40 on chocolate crèmes and $0.45 onpralines.
find the maximum profit for the week.