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Every assignment must be typed and a sufficient amount of work shown. Use correc

ID: 2890056 • Letter: E

Question

Every assignment must be typed and a sufficient amount of work shown. Use correct calculus notation. Graphs must be done electronically (I do not want hand drawn graphs Directions for graphing using excel are available in blackboard You may ask for help with the assignments Average Cost. A cost function is given by C(x) = 0.08x a. Find the marginal cost function b. Find the derivative of the average cost function Hint: The average cost function is C. Find the marginal cost for x = 5, Write a sentence interpreting your result d. Find C(5) e. Find C(5 f Graph MC(x), c(x), and * for x between 0 and 10 and the vertical of the functions g. Make some observations about the relationships axis between -2 and 2. Make sure you label all between the graph:s Pay close attention to where the graphs intersect.

Explanation / Answer

C(x)=0.08x2+2

a.Marginal cost,C'(x)=2*0.08x=0.16x

b.Average cost function,C(x)/x=0.08x+(2/x)

Derivative=0.08-(2/x2)

c. C'(5)=0.16*5=0.8

d.Average cost function at x=5

0.08(5)+(2/5)=0.4+0.4=0.8

e.0.08-(2/25)=0.08-0.08=0.16

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