Jerusha, a woodworker, builds coffee tables, using both labor (L) and tools (capital, or K). Her production function for coffee tables is a Cobb–Douglas production function: ?=4?0.5?0.5Q=4K0.5L0.5 .
a) Jerusha currently has 16 tools, and in the short run, she can neither acquire more tools nor sell existing tools. What is Jerusha’s short-run production function? Make sure to use ?L to signify labor
b) Graph to plot the production function you found in part a, with values for labor of 0, 1, 4, 9, and 16.
c) The marginal product of the 4th worker is ____________, and the average product when there are 4 workers is____________
(c)-
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