Question

A publishing company estimates that it will sell N units of a newly published paperback book after spending a dollars on advertising, where N(a) = -a2 + 570a + 100 for Osas 570, and a is measured in thousands of dollars. Graph the function using a grapher. Then find the relative maximum. For what advertising expenditure will the greatest number of books be sold? How many books will be sold for that amount of advertising expenditure? $285,000; 81,325 units $118,500; 34,235 units $470,000; 34,425 units $195,000; 70,325 units

Answer 1

Code in Matlab

a=0:0.001:570;
N_a=-a.^2+570.*a+100;
plot(a,N_a)

9 X 104 X: 285 Y: 8.132e+04 200 100 200 300 400 500 600

N(a): -a +570a +100 dN(a)= 0 (For maina) da INC) -2a +570 = 0 a = 570_285 .:a=$285,000 .Nca) = N(285)= - 2857570 (285) +100 - 81,325 units. For moremum we can sell 81,325 units for $285,000