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MAT540

 

Week 2 Homework

 

Chapter 12

 

8.    A national legitimate condition investor in Orlando is regarding three choice bombardments: a motel, a restaurant, or a theater. Produce from the motel or restaurant accomplish be forced by the availability of gasoline and the enumescold of tourists; emoluments from the theater accomplish be proportionately unwavering below any provisions. The subjoined payoff consultation shows the emolument or dropping that could conclusion from each bombardment:

 

 

Gasoline Availability

Investment

Shortage

Sconsultation 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 bombardment, using the subjoined resolution criteria.

 

  1. Maximax

  2. Maximin

  3. Minimax regret

  4. Hurwicz (α = 0.4)

  5. Equal likelihood

 

16. A concessions ruler at the Tech versus A&M football recreation must run whether to enjoy the vendors retail sun visors or umbrellas. There is a 30% luck of rain, a 15% luck of lowering skies, and a 55% luck of quantity, according to the latitude forecast in College Junction, where the recreation is to be held. The ruler estimates that the subjoined emoluments accomplish conclusion from each resolution, fond each set of latitude provisions:

 

 

Weather Conditions

Decision

Rain

Overcast

Sunshine

 

.30

.15

              .55

Sun visors

$-500

$-200

$1,500

Umbrellas

2,000

0

-900

 

 

 

  1. Compute the expected appraise for each resolution and prime the best one.

  2. Develop the occasion dropping consultation and calculate the expected occasion dropping for each resolution.

 

24. In Problem 13 the Place-Plus legitimate condition crop rooted has remunerated an economist to adduce a presumption to each tendency avail scolds may follow balance the instant 5 years. The economist has established that there is a .50 presumption that avail scolds accomplish disengage, a .40 presumption that scolds accomplish survive unwavering, and a .10 presumption that scolds accomplish acception.

 

  1. Using expected appraise, determine the best plan.

  2. Determine the expected appraise of ripe counsel.

 

Reference Problem 13:  Place-Plus, a legitimate condition crop rooted, is regarding divers choice crop plans.  These enclose fabric and leasing an function field, purchasing a package of plant and fabric an function fabric to rupture, buying and leasing a magazine, fabric a dismantle mall, and fabric and retailing condominiums. The financial prosperity of these plans endures on avail scold motion in the instant 5 years. The different crop plans and their 5-year financial render (in $1,000,000s) fond that avail scolds accomplish disengage, survive unwavering, or acception, are shown in the subjoined payoff consultation:

 

 

 

Interest Rate

 

Project

Decline

Stable

Increase

Office field

$0.5

$1.7

$4.5

Office fabric

  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

 

                                               

 

32. The ruler of course advising at Orange Community College wants to use resolution partition to contribute counsel to acceleration students run which 2-year quantity program they should track. The ruler has set up the subjoined payoff consultation for six of the most beloved and prosperityful quantity programs at OCC that shows the estimated 5-year bulk proceeds ($) from each quantity for foul-mouthed coming economic provisions:

 

 

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 condition

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 counsel technology

125,000

150,000

190,000

250,000

 

 

 

Determine the best quantity program in stipulations of planed proceeds, using the subjoined resolution criteria:

 

  1. Maximax

  2. Maximin

  3. Equal likelihood

  4. Hurwicz (α = 0.50)

 

36. Construct a resolution tree for the resolution plight described in Problem 25 and evince the best resolution.

 

Reference Problem 25:  Fenton and Farrah Friendly, husband-and-wife car dealers, are shortly going to unconcealed a new dealership. They enjoy three offers: from a extraneous conglomerate car audience, from a U.S. reason of full-sized cars, and from a traffic audience. The prosperity of each archearchecharacter of dealership accomplish endure on how fur gasoline is going to be available during the instant few years. The emolument from each archearchecharacter of dealership, fond the availability of gas, is shown in the subjoined payoff consultation:

 

 

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

 

 

 

Decision Tree diagram to complete: