calculus 3

For the demand function d(x) and supply function s(x), complete the following.

d(x) = 600 – 0.8x,  s(x) = 0.4x

(a) Find the market demand (the positive value of x at which the demand function intersects the supply function).
x = ________

(b) Find the consumers’ surplus at the market demand found in part (a).
$ ________

(c) Find the producers’ surplus at the market demand found in part (a).
$ ________

For the demand function d(x) and supply function s(x), complete the following.

d(x) = 900e^–0.03x,  s(x) = 300 – 300e^–0.04x

(a) Find the market demand (the positive value of x at which the demand function intersects the supply function). (You may use a calculator. Round your answer to two decimal places.)
x =________
(b) Find the consumers’ surplus at the market demand found in part (a). (Round your answer to the nearest whole number.)
$________

(c) Find the producers’ surplus at the market demand found in part (a). (Round your answer to the nearest whole number.)
$________