Metro Food Services Company delivers fresh sandwiches each morning to vending machines throughout the city. The company makes three kindsof sandwichesham and cheese, bologna, and chicken salad. A ham and cheese sandwich requires a worker 0.45 minutes to assemble, a bolognasandwich requires 0.41 minutes, and a chicken salad sandwich requires 0.50 minutes to make. The company has 960 available minutes each nightfor sandwich assembly. Vending machine capacity is available for 2,000 sandwiches each day. The profit for a ham and cheese sandwich is $0.35,the profit for a bologna sandwich is $0.42, and the profit for a chicken salad sandwich is $0.37. The company knows from past sales records thatits customers buy as many or more of the ham and cheese sandwiches than the other two sandwiches combined, but customers need a variety ofsandwiches available, so Metro stocks at least 200 of each. Metro management wants to know how many of each sandwich it should stock tomaximize profit.If Metro Food Services could hire another worker and increase its available assembly time by 480 minutes or increase its vending machine capacity by 100 sandwiches, which should it do? Why? How much additional profit would your decision result in?

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Author:WINSTON, Wayne L.
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Metro Food Services Company delivers fresh sandwiches each morning to vending machines throughout the city. The company makes three kinds
of sandwichesham and cheese, bologna, and chicken salad. A ham and cheese sandwich requires a worker 0.45 minutes to assemble, a bologna
sandwich requires 0.41 minutes, and a chicken salad sandwich requires 0.50 minutes to make. The company has 960 available minutes each night
for sandwich assembly. Vending machine capacity is available for 2,000 sandwiches each day. The profit for a ham and cheese sandwich is $0.35,
the profit for a bologna sandwich is $0.42, and the profit for a chicken salad sandwich is $0.37. The company knows from past sales records that
its customers buy as many or more of the ham and cheese sandwiches than the other two sandwiches combined, but customers need a variety of
sandwiches available, so Metro stocks at least 200 of each. Metro management wants to know how many of each sandwich it should stock to
maximize profit.If Metro Food Services could hire another worker and increase its available assembly time by 480 minutes or increase its vending machine
capacity by 100 sandwiches, which should it do? Why? How much additional profit would your decision result in?

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