Question

Suppose that the dollar cost of producing x appliances is c(x)=1000+ 90x- 0.2x 2

Answer 1

Answer:

Step-by-step explanation:

Given that the dollar cost of producing x appliances is

$c(x)=1000+ 90x- 0.2x^2$

A) Average cost can be obtained by dividing c(x) by units = x

i.e. average cost = $\frac{1000}{x} +90-0.2x$

B) Marginal cost = dC/dx = $90-0.4x$

When x=140 marginal cost $= 90-0.4(140)\\=34$

C) We calculate

c(140) = $=1000+90(140)-0.2(140^2)\\\\=9680$

c(141) = $=1000+90(141)-0.2(141^2)\\\\\\=9713.80$

Marginal cost = difference = 33.80

Same as 34 shown in marginal cost.