Assignment:
Q1. Decision problem: Maximax, Maximin, Hurwick equal likelihood
The owner of the Burger Doodle Restaurant is considering two ways to expand operations: open a drive-up window or serve breakfast. The increase in profits resulting from these proposed expansions depends on whether a competitor opens a franchise down the street. The possible profits from each expansion in operations, given both future competitive situations, are shown in the following payoff table:
Competitor
Decision Open Not Open
Drive-up window $ - 6,000 $20,000
Breakfast 4,000 8,000
Select the best decision, using the following decision criteria.
a. Maximax
b. Maximin
Q2. Brooke Bentley, a student in business administration, is trying to decide which management science course to take next quarter – I, II, or III. “Steamboat” Fulton, “Death” Ray, and “Sadistic” Scott are the three management science professors who te4ach the courses. Brooke does not know who will teach what course. Brooke can expect a different grade in each of the courses, depending on who teaches it next quarter, as shown in the following payoff table:
Professor
Course Fulton Ray Scott
I B D D
II C B F
III F A C
Determine the best course to take next quarter, using the following criteria.
a. Maximax
b. Maximin
Q3. Decision Problem: Minimax and Minimin criteria
A company must decide now which of three products to make next year to plan and order proper materials. The cost per unit of producing each product will be determined by whether a new union labor contract passes or fails. The cost per unit for each product, given each contract result is shown in the following payoff table:
Contract Outcome
Product Pass Fail
1 $7.50 $6.00
2 4.00 7.00
3 6.50 3.00
Determine which product should be produced, using the following decision criteria.
a. Maximax
b. Maximin
Q4. Decision problem, Probability, forecast
A local real estate investor in Orlando is considering three alternative investments: a motel, a restaurant, or a theater. Profits from the motel or restaurant will be affected by the availability of gasoline and the number of tourists: profits from the theater will be relatively stable under any conditions. The following payoff table shows the profit or loss that could result from each investment:
Gasoline Availability
Investment Shortage Stable Supply Surplus
Motel $ - 8,000 $15,000 $20,000
Restaurant 2,000 8,000 6,000
Theater 6,000 6,000 5,000
Determine the best investment, using the following decision criteria.
a. Maximax
b. Maximin
c. Minimax regret
d. Hurwicz (a = .4)
e. Equal likelihood
Provide complete and step by step solution for the question and show calculations and use formulas.