Question

In the assortment of the small computer equipment company
Computer-XY you will find a selection of different computer
mice.

The production cost of TSK, which is the best seller for the
company, can be modeled as follows:

C (x) = 0.02x^2 + 80x + 800

a) Find the unit cost function. A(x)

b) Determine the asymptotes of A by calculation.

c) Discuss the monotony properties of the unit cost function at the
interval [0,1) when calculating.

For which number of units produced is the unit cost the least?

Answer #1

C(x)=0.02x2+80x+800

a) Unit cost functionA(x)=800—80x+0.02*2

(0.02)x^{2}—80x+800

X=—b/2a. X=—(—80)/2(0.02)=80/0.04=2000

b)asymptotes of A

Line A is a horizontal asymptotes of function

A=f(x),if either.

lim_{x›infinity}2000=2000

lim_{x—infinity}2000=2000. Thus the horizontal
asymptotes is A=2000

c) eg:if y=g(x)is strictly monotonic on the range [0,1],then it has an inverse x=h(y) on the range [g(0),g(1)]entire range of the function has an inverse.

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