I need to understand how to input the avg cost of the 696 in equation. Step by s
ID: 2884072 • Letter: I
Question
I need to understand how to input the avg cost of the 696 in equation. Step by step please don't leave out a step. Homework: Calculus Homework 2 4 2 of 6 (2 complete) v HW Score: 16.67%, 1 of 6 pts Ho Score: 0 of 1 pt (x Bus Econ 1.6.53 a Question Help The cost, in dollars, or produdngxbelts is given by Cu) 692. 10x-oo79x2 Find the rate at which average cost is changing when 676 belts have been produced. When 676 belts have been produced the average costis danging at for each additional belt. (Round to four decimal places as needed Do not indude the s in your answer) correct: 1 Enter your answer in the answer box and then click Check Answer All parts showingExplanation / Answer
given cost, C(x)=692+10x-0.079x2
average cost, AC(x)=(C(x))/x
average cost, AC(x)=(692+10x-0.079x2)/x
average cost, AC(x)=(692/x)+10-0.079x
differentiate with respect to x
rate of change of average cost,d/dx(AC(x))=(-692/x2)+0-(0.079*1)
rate of change of average cost,d/dx(AC(x))=-(692/x2)-0.079
when 676 belts are produced
rate of change of average cost=-(692/6762)-0.079
rate of change of average cost=-0.0805
when 676 belts have been produced the average cost is changing at -0.0805 dollars for each additional belt