The demand for a product of Carolina Industries varies greatly from month to mon
ID: 3066503 • Letter: T
Question
The demand for a product of Carolina Industries varies greatly from month to month. The probability distribution in the following table, based on the past two years of data, shows the company’s monthly demand.
Unit Deman Probablity
0.15
300 0.28
400 0.43
500 0.14
600
A.If the company bases monthly orders on the expected value of the monthly demand, what should Carolina’s monthly order quantity be for this product?The monthly order quantity should be how much units.
Assume that each unit demanded generates 64 in revenue and that each unit ordered costs 48. How much will the company gain or lose in a month if it places an order based on your answer to part (a) and the actual demand for the item is 376 units?
Explanation / Answer
a) E(MD) = 300*.15 + 400*.28 + 500*.43 + 600*.14 = 456
b) (64 - 48)*456 = $7296, company gains
(64 - 48)*300 = $4800, company gains
V(MD) =((300 - 456)^2)*0.15 + ((400 - 456)^2)*0.28 + ((500 - 456)^2)*0.43 + ((600 - 456)^2)*0.14 = 8264
SD = sqrt(8264) = 90.90
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