228k views
2 votes
The function gives the cost to manufacture x items. C(x) = 15,000 + 8x - x2 -; X = 20,000 20,000 Find the average cost per unit of manufacturing h more items (i.e., the average rate of change of the total cost) at a production level of x, where x is as indicated a smaller values of h to check your estimates. Round your answers to five decimal places.) h 10 1 Cave 5.99950 5.9995 x Estimate the instantaneous rate of change of the total cost at the given production level x, specifying the units of measurement. c' (20,000) = 6 $/item A Need Help? Read It Watch It

1 Answer

3 votes

We can replace x=20000 in the function so:


c(20000)=15000+8(20000)-\frac{20000^2^{}}{20000}

and we simplify:


c(20000)=15500

now h=1 is the cost of one more item so we evaluate for 20001


\begin{gathered} c(20001)=15000+8(20001)-(20001^2)/(20000) \\ c(20001)=195010 \end{gathered}

So for h=1 will be :


C=0.599950

User FLUXparticle
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories