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Mariela2699
07.03.2020 •
Mathematics
The demand for a product varies from month to month. Based on the past year's data, the following probability distribution shows MNMcompany's monthly demand.x F(x) xf(s)Unit Demand Probability0 0.10 0(.10) = .001000 0.10 1000(.10) = 1002000 0.30 2000(.30) = 6003000 0.40 3000(.40) = 12004000 0.10 4000(.10) = 4001.00 2300a. Determine the expected number of units demanded per month.2300b. Each unit produced costs the company $8.00, and is sold for $10.00. How much will the company gain or lose in a month if they stockthe expected number of units dmanded, but sell 2000 units?2300 x 8 18400 $20,000 - $18,400 = 1600 Loss2300 x 10 230002000 x 8 160002000 x 10 20000
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Ответ:
2,300 units and $1,600
Step-by-step explanation:
The computation of the expected number of units demanded is shown below:
x F(x) xf(s)
Unit Demand Probability
0 0.10 0
1000 0.10 100
2000 0.30 600
3000 0.40 1200
4000 0.10 4000 400
Total 2,300
Hence, the expected number of units demanded is 2,300 per month
b. Now the gain or loss is
Since the number of units demanded is 2,300 and its cost is $8 so the total cost is
=![2,300\ units\times\$8](/tpl/images/0538/0645/a4be7.png)
= $18,400
And, the total sales cost is
=![2,000\ units\times\ $10](/tpl/images/0538/0645/53382.png)
= $20,000
So, the gain is
= $20,000 - $18,400
= $1,600
Ответ: