Final answer:
The manager should continue searching for workers because the expected benefit of hiring a worker at a lower wage exceeds the cost of the search.
Step-by-step explanation:
To determine whether the manager should continue searching for workers at a lower wage or hire at the current offer, we can calculate the expected benefit of continuing the search and compare it to the cost of searching.
There are 25% of workers willing to work for $55,000, and 75% willing to work for $63,000. The expected wage if searching continues is therefore (0.25 * $55,000) + (0.75 * $63,000) = $13,750 + $47,250 = $61,000.
The cost of searching is $1,200, while the savings from finding a worker at the lower wage is $63,000 - $61,000 = $2,000. As the expected savings exceed the cost of searching, the manager should continue searching since the expected benefit exceeds the cost.