Question

# The owner of a small business is considering three options: buying a computer, leasing a computer,...

The owner of a small business is considering three options: buying a computer, leasing a computer, or getting along without a computer. Based on the information obtained from the firm’s accountant, the following payoff table (in terms of net profit) was developed:

 State of Nature Alternative S1 S2 S3 A1 4 2 5 A2 8 2 3 A3 3 4 6

Based on the probability for each state of nature in previous question(the probability for S1 to happen is twice of the probability of S2. Probability for S2 to happen is three times of S3). Which decision alternative should be selected based on expected payoff?

Select one:

a. Can’t be computed with the given information

b. A3

c. A1

d. A2

Given data:

 Alternative State of nature S1 S2 S3 A1 4 2 5 A2 8 2 3 A3 3 4 6

probability for s1 happen =p1

probability for s2 happen = p2

probability for s3 happen= p3

p1=2p2

p2=3p3

p1=6p3

p1+p2+p3=1

6p3+3p3+p3=10

p3=0.1

P2=0.3

p1=0.6

Expected value = sum of pi*si

 pi 0.6 0.3 0.1 Expected payoff value Alternative State of nature S1 S2 S3 A1 4 2 5 3.5 A2 8 2 3 5.7 A3 3 4 6 3.6

so maximum expected profit (payoff) value 5.7. its on alternative -2

so we decide A2 alternative as per maximum payoff

Option -D

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