Suppose that the cost (in dollars) for a company to produce x pairs of a new line of jeans is given by
c(x)=2000+3x+0.01x^2 +0.0002x^3
(a) find the marginal cost funtion
(b) findc'(100) and explain its meaning. what does it predict?

The marginal cost function is

The marginal cost at the production level of 100 pairs is

. This gives the rate at which costs are increasing with respect to the production level when x = 100 and predicts the cost of the 101st pair of jeans.

Step-by-step explanation:

(a) The marginal cost function is the derivative of the cost function.

(b) The marginal cost at the production level of 100 pairs is

This gives the rate at which costs are increasing with respect to the production level when x = 100 and predicts the cost of the 101st pair of jeans.

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

answer: about 22.67

step-by-step explanation: