Question: ACME office furniture maker has the daily cost function for making desk as follows

a) Find the marginal cost function

b) Find the marginal cost when \[x=200\] and interpret your result.

c) Assume that ACME office furniture estimated that total cost for making desk is \[C(x)=400+2x\]

Find the average cost function \[\bar{C}\] and find the marginal average cost function \[\bar{C}'\]

What happens to \[\bar{C}(x)\] when \[x\] is very large? Interpret your results