Pricing and demand will be taken as exogenously determined. Your goal in each part of this assignment is to efficiently use the inputs. This starts with what might be termed the short short-run, where all inputs are fixed, but they can be reallocated to different purposes. It then moves to the short-run, where some inputs (e.g., labor) is variable, but other inputs (e.g., capital) are fixed. It concludes with the long-run, where all inputs are variable.
Part A: The ‘short short-run’
The 4-A clinic consists of four workers (Sam, Ann, Trey, and Lina) who share some or all of the following tasks: performing a medical procedure, follow-ups, and tests. The data below gives their time per task, in minutes. Assume that each can work up to six hours per day (e.g., 360 minutes) at these tasks, but no more. ‘N/A’ means that the individual isn’t qualified to perform the medical procedure.
Individual |
Medical procedures |
Follow-ups |
Tests |
Sam |
21 |
10 |
5 |
Ann |
15 |
9 |
6 |
Trey |
N/A |
20 |
8 |
Lina |
N/A |
18 |
6 |
Each patient seen will ultimately need one medical procedure, two routine follow- ups, and three routine tests.
Initial scenario:
It is assumed that patients seen by Sam and Ann are exclusive.
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