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Gary’s Pipe and Steel Company expects sales next year to be \(800,000 if the economy is strong, \)500,000 if the economy is steady, and $350,000 if the economy is weak. Gary believes there is a 20 percent probability the economy will be strong, a 50 percent probability of a steady economy, and a 30 percent probability of a weak economy. What is the expected level of sales for next year?

Short Answer

Expert verified

The expected level of sales for next year is$500,000.

Step by step solution

01

Information given in the question

The following information is provided:

Expected sales whentheeconomy is strong = $800,000

Expected sales whentheeconomy is steady = $500,000

Expected sales whentheeconomy is weak = $300,000

Probability of strong economy = 20%

Probability of steady economy = 50%

Probability of weak economy = 30%

02

Expected sales for next year

Expectedsalesfornextyear=∑Expectedsales×Probability=800,000×0.2+500,000×0.5+300,000×0.3=$160,000+$250,000+$90,000=$500,000

The expected level of sales for next year is $500,000.

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