The demand for a product varies from month to month. Based on the past year's data, the following probability distribution shows MNM company's monthly demand. x Unit Demand f(x) Probability 0 0.10 1,000 0.15 2,000 0.30 3,000 0.30 4,000 0.15 a. Determine the expected number of units demanded per month. b. Each unit produced costs the company $7.00 and is sold for $10.00. How much will the company gain or lose in a month if they stock the expected number of units demanded, but sell 2,000 units?

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The demand for a product varies from month to month. Based on the past year's data, the following probability distribution shows MNM company's monthly demand.
x
Unit Demand
f(x)
Probability
0 0.10
1,000 0.15
2,000 0.30
3,000 0.30
4,000 0.15

a. Determine the expected number of units demanded per month.

b. Each unit produced costs the company $7.00 and is sold for $10.00. How much will the company gain or lose in a month if they stock the expected number of units demanded, but sell 2,000 units?

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