The Faculties of Arts, Business and Science have each proposed new professional graduate
programs that they have asked the University to fund. If successful, the programs will be self-
financing and not be a drain on university finances. Each program has been asked to develop 3
scenarios, pessimistic, most likely and optimistic, and to estimate the net cost or benefit to the
university in each situation. Pessimistic is defined as low demand with 25% chance of
occurrence. Most likely is a level of demand that has a 50% chance of occurrence. And
Optimistic is high demand that has a 25% chance of occurring. Costs/benefits are summarized
below. The University Budget Committee has indicated that it can only support one new
program for the coming year.
Program | Pessimistic 25% | Most Likely 50% | Optimistic 25% |
Master of Policy Planning and Evaluation |
-$120,000 | $0 | $100,000 |
Master of Biotechnology |
-$300,000 | $30,000 | $250,000 |
Master of Data Science for Business |
-$220,000 | $50,000 | $150,000 |
a)
If the Budget Committee uses the maximin criterion to make decisions, which program would
they support?
b)
Construct a regret table and identify the best decision if they were to use the minimax regret
criterion.
c)
What would be the best decision if they used maximum expected monetary value to make their
decision?
d)
If the university had perfect knowledge of whether the outcome would be pessimistic, most
likely, or optimistic, what would be the expected value with this perfect information? What is
the expected value of perfect information, EVPI
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