Set up this project as a decision tree to find whether the manufacturer should approve this project, and if so, which method of production to use to maximize profit. Hint: Compare total annual costs. Assume that production must meet all demand; each unit demanded and sold means more profit.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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The yearly demand for a seasonal, profitable item follows the distribution:
Demand (units) Probability
1,000
20
2,000
30
3,000
40
4,000
10
A manufacturer is considering launching a project to produce this item and could produce it by one
of three methods:
A. (10%). Use existing tools at a cost of S6 per unit.
B. (10%). Buy cheap, special equipment for $1,000. The value of the equipment at the end of the
year (salvage value) is zero. The cost would be reduced to $3 per unit.
C. (10%). Buy high-quality, special equipment for $10,000 that can be depreciated over four years
(one fourth of the cost each year). The cost with this equipment would be only S2 per unit.
Set up this project as a decision tree to find whether the manufacturer should approve this project,
and if so, which method of production to use to maximize profit. Hint: Compare total annual costs.
Assume that production must meet all demand; each unit demanded and sold means more profit.
Transcribed Image Text:The yearly demand for a seasonal, profitable item follows the distribution: Demand (units) Probability 1,000 20 2,000 30 3,000 40 4,000 10 A manufacturer is considering launching a project to produce this item and could produce it by one of three methods: A. (10%). Use existing tools at a cost of S6 per unit. B. (10%). Buy cheap, special equipment for $1,000. The value of the equipment at the end of the year (salvage value) is zero. The cost would be reduced to $3 per unit. C. (10%). Buy high-quality, special equipment for $10,000 that can be depreciated over four years (one fourth of the cost each year). The cost with this equipment would be only S2 per unit. Set up this project as a decision tree to find whether the manufacturer should approve this project, and if so, which method of production to use to maximize profit. Hint: Compare total annual costs. Assume that production must meet all demand; each unit demanded and sold means more profit.
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