The daily total cost (in dollars) incurred by Trappee and Sons for producing x cases of TexaPep hot sauce is given by the following function.

Question

c(x)=0.000002x^3+3x+453

(a) Find the average cost function C.
C = ?

(b) Find the level of production that results in the smallest average production cost. (Round your answer to the nearest whole number.)

? cases

(c) Find the level of production for which the average cost is equal to the marginal cost. (Round your answer to the nearest whole number.)

? cases

Answer 1

<vx)-ln[.03]/(l1)<l3>
A shortcut I forgot about until calc III is to make it a function of <vx)
vx=nnx+bbn+c
c(x)=<l.5/.556>
nn(x)
x=nn(.565)
bbn
n=(bb)=.909
c=vvx/.909[pi]^2<nnx>
C=?