Final answer:
To minimize the expected cost of data processing operations at Hudson Corporation, the outside vendor option should be selected, with an expected annual cost of $545,000 as it has the lowest expected value compared to the own staff and combination options.
Step-by-step explanation:
The student is asking a question related to decision-making under uncertainty which is a key concept in business, particularly in the area of operations management. To determine the option that minimizes the expected annual cost of data processing operations at Hudson Corporation, we need to calculate the expected value (EV) for each staffing option given their respective costs under high, medium, and low demand scenarios.
We will start by calculating the EV for each staffing option:
- EV(Own staff) = (0.2 × 600) + (0.5 × 600) + (0.3 × 550) = 590 thousand dollars
- EV(Outside vendor) = (0.2 × 850) + (0.5 × 550) + (0.3 × 250) = 545 thousand dollars
- EV(Combination) = (0.2 × 750) + (0.5 × 600) + (0.3 × 450) = 600 thousand dollars
Based on the EV calculated for each option, the outside vendor option has the lowest expected annual cost and should be the chosen staffing option to minimize costs. The expected annual cost associated with this recommendation is $545,000.