The Skimmer Boat Company manufactures the Water Skimmer bass fishing boat. The company purchases the engines it installs in its boats from the Mar-gine Company, which specializes in marine engines. Skimmer has the following production schedule for April, May, June, and July:
April: 60
May: 85
June: 100
July: 120
Mar-gine usually manufactures and ships engines to Skimmer
during the month the engines are due. However, from April through July,
Mar-gine has a large order with another boat customer, and it can manufacture
only 40 engines in April, 60 in May, 90 in June, and 50 in July. Mar-gine has
several alternative ways to meet Skimmer's production schedule. It can produce
up to 30 engines in January, February, and March and carry them in inventory at
a cost of $50 per engine per month until it ships them to Skimmer. For example, Mar-gine could build an engine
in January and ship it to Skimmer in April, incurring $150 in inventory charges.
Mar-gine can also manufacture up to 20 engines in the month they are due on an
overtime basis, with an additional cost of $400 per engine. Mar-gine wants to
determine the least costly production schedule that will meet skimmer's
schedule.
a. Formulate a linear programming model for this problem.
b. Solve this model by using the computer.
c. If Mar-gine were able to increase its production capacity in January, February, and March from 30 to 40 engines, what would the effect be on the optimal solution?
Answers: 3
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The Skimmer Boat Company manufactures the Water Skimmer bass fishing boat. The company purchases the...
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