Chapter 8: Managing Capacity
Problem 3 Will Stallard runs a landscaping firm. Each year, Will contracts for
labor and equipment hours from a local construction company.
The construction company has given Will three different capacity options, shown below:
Capacity Options Labor hrs Eq. hrs.
High capacity 20400 13600
Once Will has chosen a capacity option, he cannot change it later. In addition,
the cost for each capacity option is fixed. That is, Will must pay for all
labor and equipment hours he contracted for, even if he doesn’t need it all.
Will also has information concerning the amount of revenue, labor
and equipment hours needed for the “typical” landscaping job:
Will has identified three possible demand levels. These demand levels, with
their associated probabilities, are shown below:
Demand Level # Jobs Probability
3a. Determine the total cost of each capacity option.
3b. What are the nine possible outcomes Will is facing?
(Hint: One is “Will subcontracts for low capacity and demand turns out to be low”)
What is the profit (Revenue – fixed costs) associated with each outcome?
3c. Using the information from 2b, calculate the expected monetary value (EMV)
for each of the three capacity options. Show your work.
Which option would Will prefer if he wanted to maximize EMV?
High capacity: $476,000 680 680 680
Medium capacity $357,000 510 510 510
Low capacity $238,000 340 340 340
Profit for each possible outcome & EMV for each capacity alternative:
Low cap / low demand: $306,000