Question

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) = 5x and C(x) = 0.004x2 + 1.1x + 70, find each of the following. a) P(x) b) R(100), C(100), and P(100) c) R'(x), C'(x), and P'(x) d) R' (100), C'(100), and P'(100) a) P(x) = (Use integers or decimals for any numbers in the expression.) b) R(100) = $ (Type an integer or a decimal.) C(100) = $ (Type an integer or a decimal.) P(100) = $ (Type an integer or a decimal.) c) R'(x) = (Type an integer or a decimal.) C'(x)= (Use integers or decimals for any numbers in the expression.) P'(x)= (Use integers or decimals for any numbers in the expression.) d) R' (100)= $ per item (Type an integer or a decimal.) C'(100) = $ per item (Type an integer or a decimal.) P'(100) = $ per item (Type an integer or a decimal.)

Answer 1

R(2)=5a cca) = 0.0042²+1.13470 @ PCA) z RCA)-(69) = 50- (0.00472+1.10+70) PCN) = 3.90 -0.00422-70 Rl100) = 5x100 = 500 cCloo) = 0.004(1002) +1.1 (rvo) + 70 = 220 p(100) = R1100) - ( 110o) = 500-220 = 280 en © Rica)=5 cica) = 0.0082 +1./ pica) = R'Ca)- c'ca) = 3.9 -0.0082 @ RC100) = 5 c'(100) = 0.008 600)+1.1 = 1.9 picroo) = el Cloo) – c'600) = 5-19 = 3.1