# MAT 540 Week 2 Homework Problems – Strayer University New

MAT/540 Week 2 Homework Problems Solution

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Mat 540 Problems Chapter 12 Homework

Complete the following problems from Chapter 12:

Problems 8, 16, 24, 32, 36
Refer to the tree diagram below to complete problem 36:

See email for diagram.

8) A local real estate investor in Orlando is considering three alternative investments: a model, 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
Morel \$-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:

Maximax
Maximin
Minimax regret
Hurwicz (α = .4)
Equal likelihood
16) A concession 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
.30 Overcast
.15 Sunshine
.55
Sun visors \$-500 \$-200 \$1,500
Umbrellas 2,000 0 -900

Compute the expected value for each decision and select the best one.
Develop the opportunity loss table and compute the expected opportunity loss for each decision.
24) In problem 13 the Place-Plus real estate development firm has hired an economist to assign a probability for 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 during the next 5 years is .40, the probability that rates will remain stable, and a .10 probability that rates will increase.

Using the expected value, determine the best project.
Determine the expected value of perfect information.

32) 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 success 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

36) Construct a decision tree for the decision situation described in Problem 25 and indicate the best decision.

25) 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

.6

Surplus

.4

Compact cars \$300,000 \$150,000
Full-sized cars -100,000 600,00
Trucks 120,000 170,000

Determine which type of dealership the couple should purchase.