Problem Set 5 230 Sec 870 - F2016 (1).pdf

Problem Set 5 230 Sec 870 - F2016 (1).pdf - MAT 230 870 P...

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MAT 230 870 PROBLEM SET 5 F2016 P. Mazur (27 Pts) (5) 1. Leland, Inc. produces souvenirs for sale in the stores on San Francisco’s Fisherman’s Wharf. The revenue function for one particular item is 400 R x x x where x = # of items sold a) What is the revenue when 256 items are sold? b) What is the marginal revenue of the 256 th item? c) Using the results from parts a & b, estimate the revenue from the sale of 257 items. Revenue from the sale of 256 items is $____________ Marginal revenue from the sale of the 256 th item is $____________ Estimate of the revenue from the sale of 257 items $_____________ (5) 2. Use implicit differentiation to find dy dx for the curve 2 2 3 x xy y and then write the equation of the line which is tangent to the curve at the point (1,-1). The equation of the tangent line at (1,-1) is ______________________________
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(5) 3. The revenue and cost functions for the production and sale of a small tool kit are shown below.
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