Question

6. The profit in dollars from the sale of x bicycles is given by

P(x) = -0.5x2 +200x - 14000 where 0 sxs 300

a) Find the change in profit when production is changed from 122 to 150 bicycles.

Answer 1

$1792

Explanation:

Step one:

given that the profit function is

`P(x) = -0.5x^2 +200x - 14000`

let us find the profit when sale x=122

`P(x) = -0.5(122)^2 +200(122) - 14000\\\\P(x)=-7442+24400-14000\\\\P(x)=2958`

Step two:

let us find the profit when sale x=150

`P(x) = -0.5(150)^2 +200(150) - 14000\\\\P(x)=-11250+30000-14000\\\\P(x)=4750`

Hence the change is 4750-2958= $1792