Assignment:
The J. R. Ryland Computer Company is considering a plant expansion to enable the company to begin production of a new computer product. The company's president must determine whether to make the expansion a medium- or large-scale project. Demand for the new product is uncertain, which for planning purposes may be low demand. medium demand, or high demand. The probability estimates for demand are .20..50. and .30. respectively. Letting x and y indicate the annual profit in thousands of dollars. the firm's planners developed the following profit forecasts for the medium- and large-scale expansion projects.
Medium-Scale Expansion Profit Large-Scale Expansion Profit
|
|
|
x
|
f(x)
|
y
|
f(y)
|
|
|
Low
|
50
|
.20
|
0
|
.20
|
|
Demand
|
Medium
|
I50
|
.50
|
100
|
.50
|
|
|
High
|
200
|
.30
|
300
|
.30
|
a. Compute the expected value for the profit associated with the two expansion alternatives. Which decision is preferred for the objective of maximizing the expected profit?
b. Compute the variance for the profit associated with the two expansion alternatives. Which decision is preferred for the objective of minimizing the risk or uncertainty?
Provide complete and step by step solution for the question and show calculations and use formulas.