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 0.18, 0.50, and 0.32, 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 Large-Scale Expansion Profit Expansion Profit f(x) f(y) Low 50 0.18 0.18 Demand Medium 150 0.50 100 0.50 High 200 0.32 300 0.32 a. Compute the expected value (to 2 decimals) for the profit associated with the two expansion alternatives. thousand Medium $ 148 thousand $ 146 Large Which decision is preferred for the objective of maximizing the expected profit? Medium preferred. b. Compute the variance (to 2 decimals) for the profit associated with the two expansion alternatives. Medium Large Which decision is preferred for the objective of minimizing the risk or uncertainty? Medium preferred. Hide Feedback Partially Correct

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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
0.18, 0.50, and 0.32, 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
Large-Scale
Expansion Profit
Expansion Profit
f(x)
f(y)
Low
50
0.18
0.18
Demand
Medium
150
0.50
100
0.50
High
200
0.32
300
0.32
a. Compute the expected value (to 2 decimals) for the profit associated with the two expansion alternatives.
thousand
Medium
$
148
thousand
$
146
Large
Which decision is preferred for the objective of maximizing the expected profit?
Medium
preferred.
b. Compute the variance (to 2 decimals) for the profit associated with the two expansion alternatives.
Medium
Large
Which decision is preferred for the objective of minimizing the risk or uncertainty?
Medium
preferred.
Hide Feedback
Partially Correct
Transcribed Image Text: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 0.18, 0.50, and 0.32, 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 Large-Scale Expansion Profit Expansion Profit f(x) f(y) Low 50 0.18 0.18 Demand Medium 150 0.50 100 0.50 High 200 0.32 300 0.32 a. Compute the expected value (to 2 decimals) for the profit associated with the two expansion alternatives. thousand Medium $ 148 thousand $ 146 Large Which decision is preferred for the objective of maximizing the expected profit? Medium preferred. b. Compute the variance (to 2 decimals) for the profit associated with the two expansion alternatives. Medium Large Which decision is preferred for the objective of minimizing the risk or uncertainty? Medium preferred. Hide Feedback Partially Correct
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