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B. Determine where P (x) 0. What is the significance of the level of production xm where this occurs?
B. Determine where P (x) 0. What is the significance of the level of production xm where this occurs? 40. MANUFACTURING OUTPUT At a certain factory, it is determined that an output of Q units is to be expected when L worker-hours of labor are employed, where Q(L) 3,100 L a. Find the average rate of change of output as the labor employment changes from L 3,025 worker-hours to 3,100 worker-hours. B. Use calculus to find the instantaneous rate of change of output with respect to labor level when L 3025. 41. COST OF PRODUCTION A business manager determines that the cost of producing x units of a particular commodity is C thousands of dollars, where C(x) 0.04x2 5.1x 40 a. Find the average cost as the level of production changes from x 10 to x 11 units. B. Use calculus to find the instantaneous rate of change of cost with respect to production level when x 10 and compare with the average cost found in part (a). Is the cost increasing or decreasing when 10 units are being produced?
