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.)
$________