Final answer:
Martha should complete the report in Week 2 as it incurs the lowest cost of 15 utils, allowing her to maximize her utility by minimizing her total costs.
Step-by-step explanation:
The question presented is fundamentally about the concept of utility maximization in economics, specifically around the context of incurring costs (measured in utils) over different weeks for work completion. Martha seeks to determine which week is most optimal for finishing her referee report based on the varying costs per each week.
Comparing the weekly costs: Week 1 at 20 utils, Week 2 at 15 utils, Week 3 at 25 utils, and Week 4 at 18 utils, the decision should be driven by the principle of minimizing her total cost to maximize utility.
Answer (a) suggests that Martha should complete the report in Week 2, as it incurs the lowest cost which aligns well with the goal of utility maximization by selecting the option that offers the highest satisfaction (utility) for the lowest cost.