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Q1

Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the production and sale of x items. If R(x) = 6x and C(x) =0.004x + 1.8x + 50, find each of the following. a) P(x) b) R(50), C(50), and P(50) c) R'(x), C'(x), and P'(x) d) R'(50), C'(50), and P'(50) a) P(x) = (Use integers or decimals for any numbers in the expression.) b) R(50) = $ (Type an integer or a decimal.) C(50) = $ (Type an integer or a decimal.) P(50) = $ (Type an integer or a decimal.) c) R'(x) = (Type an integer or a decimal.) C'(x) = 0 (Use integers or decimals for any numbers in the expression.) P'(x) = (Use integers or decimals for any numbers in the expression.) d) R'(50) = $ per item (Type an integer or a decimal.) c'(50) = $ per item (Type an integer or a decimal.) P'(50) = $ per item (Type an integer or a decimal.)Pierce Manufacturing determines that the dailg.r revenue. in dollars, from the sale of x lawn chairs is Rm = 0.005x3 +0.04x2 + 0.4x. Currently, Pierce sells 60 lawn chairs daily. at What is the current daily revenue? b) How much would revenue increase if64 lawn chairs were sold each day? c) What is the marginal revenue when BU lawn chairs are sold daily? d) Use the answer from part (c) to estimate R{61}. R(62). and R333). a) The current revenue is $|:|. b) The revenue would increase by $|:. (Round to the nearest cent.) c) The marginal revenue is $|:| when 60 lawn chairs are sold daily. newness: (Round to the nearest cent as needed. Use the answer from part c to answer this part.) RtEZ) x $ (Round to the nearest cent as needed. Use the answer lrom part c to answer this part.) Rt 3) m $ (Round tome nearest cent as needed. Use the answer lrom part c to answer this part.) 18x + 1200 K The average cost for a company to produce x units of a product is given by the function A(x) = x Use A'(x) to estimate the change in average cost as production goes from 200 units to 201 units. The change in average cost is approximately dollars