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The following table describes the short-run production relationship for a firm that produces long-term nursing care. It operates nursing homes in a number of different
- The following table describes the short-run production relationship for a firm that produces long-term nursing care. It operates nursing homes in a number of different communities. It produces a single output, Q, i.e. the number of patients housed in a given facility. It uses two inputs, L, healthcare workers, and K, physical facility and healthcare equipment. Suppose that the daily per unit price of L is $200 and the daily per unit price (implicit rental rate) of K is $200. Suppose the firm decides to build a small-sized nursing home in a particular community, i.e. it chooses K=1. Using information from the table, sketch the firm's short-run average fixed cost, average variable cost, and average total cost curves in the diagram below, showing specific points on each curve based on your calculations, that correspond to K being fixed in the short run at K=1.
Labor Input | ||||||
Capital Input | 1 | 2 | 3 | 4 | 5 | |
1 | 20 | 40 | 55 | 65 | 70 | |
2 | 40 | 60 | 75 | 85 | 90 | |
3 | 55 | 75 | 90 | 100 | 105 | |
4 | 65 | 85 | 100 | 110 | 115 | |
5 | 70 | 90 | 105 | 115 | 120 |
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