Reference no: EM13821363

1. 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 (α = 0.4)
e. Equal likelihood

2. A concessions manager at the Tech versus A&M football game must decide whether to have the vendors sell sun visors or umbrellas. There is a 30% chance of rain, a 15% chance of overcast skies, and a 55% chance of sunshine, according to the weather forecast in College Junction, where the game is to be held. The manager estimates that the following profits will result from each decision, given each set of weather conditions: Weather Conditions

Decision	Rain	Overcast	Sunshine
.30	.15	.55
Sun visors	$-500	$-200	$1,500
Umbrellas	2,000	0	-900

3. Place-Plus, a real estate development firm, is considering several alternative development projects. These include building and leasing an office park, purchasing a parcel of land and building an office building to rent, buying and leasing a warehouse, building a strip mall, and building and selling condominiums. The financial success of these projects depends on interest rate movement in the next 5 years. The various development projects and their 5-year financial return (in $1,000,000s) given that interest rates will decline, remain stable, or increase, are shown in the following payoff table. Place-Plus real estate development firm has hired an economist to assign a probability to each direction interest rates may take over the next 5 years. The economist has determined that there is a .50 probability that interest rates will decline, a .40 probability that rates will remain stable, and a .10 probability that rates will increase.

a. Using expected value, determine the best project.

b. Determine the expected value of perfect information.

Interest Rate
Project	Decline	Stable	Increase
Office park	$0.5	$1.7	$4.5
Office building	1.5	1.9	2.5
Warehouse	1.7	1.4	1.0
Mall	0.7	2.4	3.6
Condominiums	3.2	1.5	0.6

4. The director of career advising at Orange Community College wants to use decision analysis to provide information to help students decide which 2-year degree program they should pursue. The director has set up the following payoff table for six of the most popular and successful degree programs at OCC that shows the estimated 5-year gross income ($) from each degree for four future economic conditions: Economic Conditions

Degree Program  Recession  Average  Good  Robust  Graphic design  145,000  175,000  220,000  260,000  Nursing  150,000  180,000  205,000  215,000  Real estate  115,000  165,000  220,000  320,000  Medical technology  130,000  180,000  210,000  280,000  Culinary technology  115,000  145,000  235,000  305,000  Computer information technology  125,000  150,000  190,000  250,000

5. Construct a decision tree for the following decision situation and indicate the best decision.

Fenton and Farrah Friendly, husband-and-wife car dealers, are soon going to open a new dealership. They have three offers: from a foreign compact car company, from a U.S. producer of full-sized cars, and from a truck company. The success of each type of dealership will depend on how much gasoline is going to be available during the next few years. The profit from each type of dealership, given the availability of gas, is shown in the following payoff table: Gasoline Availability

Dealership	Shortage	Surplus
.6	.4
Compact cars	$ 300,000	$150,000
Full-sized cars	-100,000	600,000
Trucks	120,000	170,000