“Maximin Criterion Decision Analysis for ABC Inc.’s Capacity Expansion Decision”

QUESTION

ABC Inc. must make a decision on its current capacity for next year. Estimated profits (in $000s) based on next year’s demand are shown in the table below.

Next Year’s Demand
Alternative         Low        High
Expand                $100       $200
Subcontract          $50        $120
Do nothing            $40        $50

Using the information above, which alternative should be chosen based on the maximin criterion?

ANSWER

“Maximin Criterion Decision Analysis for ABC Inc.’s Capacity Expansion Decision”

The maximin criterion is a decision-making approach that seeks to identify the alternative with the highest minimum payoff or profit. In other words, it focuses on ensuring that the worst-case scenario yields the best possible outcome. In the context of ABC Inc.’s decision on its current capacity for the next year, we have three alternatives: Expand, Subcontract, and Do Nothing. Each of these alternatives has associated estimated profits (in $000s) based on next year’s demand, with both low and high demand scenarios.

To apply the maximin criterion, we need to identify the alternative that provides the highest minimum profit for the worst-case demand scenario. Let’s analyze the data:

Expand

Low Demand: $100,000

High Demand: $200,000

Subcontract

Low Demand: $50,000

High Demand: $120,000

Do Nothing

Low Demand: $40,000

High Demand: $50,000

The maximin criterion would suggest selecting the alternative with the highest minimum profit, as it is the most risk-averse approach. In this case, the worst-case scenario is “Low Demand,” and the minimum profits for each alternative in this scenario are as follows:

Expand: $100,000

Subcontract: $50,000

Do Nothing: $40,000

Based on the maximin criterion, the “Expand” alternative should be chosen because it provides the highest minimum profit of $100,000 in the worst-case scenario (Low Demand). This choice minimizes the risk of incurring lower profits.

It’s important to note that the maximin criterion assumes a conservative and risk-averse approach, focusing on protecting against the worst possible outcome. However, it does not consider the probabilities of different demand scenarios. If ABC Inc. is willing to take on more risk and considers the likelihood of high demand, other decision criteria, such as the maximax or expected value criterion, might be more appropriate.

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