A company that manufactures paving material for driveways and parking lots expects the following demand for its product for the next four weeks.Week number 1 2 3 4Material (tons) 40 80 60 70The company’s labor and machine standards and available capacities are as follows.Labor MachineProduction standard (hours per ton) 4 3Weekly production capacity (hours) 300 200 a. Determine the capacity utilization for labor and machine for each of the four weeks.b. In which weeks do you foresee a problem? What options would you suggest to resolve anyproblems? What costs are relevant in making a decision on choosing an option?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.3: Assignment Models
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A company that manufactures paving material for driveways and parking lots expects the following demand for its product for the next four weeks.
Week number 1 2 3 4
Material (tons) 40 80 60 70
The company’s labor and machine standards and available capacities are as follows.
Labor Machine
Production standard (hours per ton) 4 3
Weekly production capacity (hours) 300 200
a. Determine the capacity utilization for labor and machine for each of the four weeks.
b. In which weeks do you foresee a problem? What options would you suggest to resolve any
problems? What costs are relevant in making a decision on choosing an option?

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ISBN:
9781337406659
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Cengage,