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The MS Company is going to introduce one of three new products: a hammer, a wren

ID: 428691 • Letter: T

Question

The MS Company is going to introduce one of three new products: a hammer, a wrench or a plier. The market conditions (favorable, stable, or unfavorable) will determine the profit or loss the company realizes, as shown in the following payoff table:

Market Conditions

Favorable

Stable

Unfavorable

Product

0.2

0.7

0.1

Hammer

$120,000

$70,000

-$30,000

Wrench

$60,000

$40,000

$20,000

Plier

$35,000

$30,000

$30,000

70 & Wrench

42 & Wrench

70 & Plier

70 & Hammer

31 & Plier

The MS Company is going to introduce one of three new products: a hammer, a wrench or a plier. The market conditions (favorable, stable, or unfavorable) will determine the profit or loss the company realizes, as shown in the following payoff table:

Market Conditions

Favorable

Stable

Unfavorable

Product

0.2

0.7

0.1

Hammer

$120,000

$70,000

-$30,000

Wrench

$60,000

$40,000

$20,000

Plier

$35,000

$30,000

$30,000



What is the maximum expected value and the optimal decision according to the maximum expected value approach? [3pts] Answers:

70 & Wrench

42 & Wrench

70 & Plier

70 & Hammer

31 & Plier

Explanation / Answer

Total profit/loss with product= sum of (Probability of the market condition x Profit/loss)

1. Total profit/loss with Hammer = (0.2 x $120,000)+(0.7 x $70,000)+(0.1 x -$30,000)

= $70,000

2.Total profit/loss with Wrench = (0.2 x $60,000)+(0.7 x $40,000)+(0.1 x $20,000)

=$42,000

3.Total profit/loss with Plier= (0.2 x $35,000)+(0.7 x $30,000)+(0.1 x $30,000)

=$31,000

The maximum expected value=$70,000.

The optimal deecision to produce hammar.

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