200 200 I206 Worksheet 8 Quadratic Functions Applications c

200): 200(. \'I.(206) Worksheet 8: Quadratic Functions & Applications (continued) marginal cost of a product can be thousht of as the cost of producing one additional unit of output. uppase the marginal cost C (in dollars) to produce a thousand digital music players is given by the function C(a)-140z +4925 a How many players should be produced to minimize the marginal cost? b. What is the minimal marginal cost? Interpret your result.

Solution

Given marginal cost to produce x thousand digital music player (in dollars)

C (x) = x^2-140x+4925

A. No of players to be produced to minimize marginal cost

C\'(x) =0

2x-140=0

X = 70 thousand music players.

B. Minimal marginal cost for producing

C (70)

=(70)^2-140 (70)+4925

=-4900+4925

=25 dollars.