Acompany is planning to manufacture snowboards. the fixed costs are $100 per day and total costs are $5100 per day at a daily output of 20 boards.
a. assuming that the total cost per day, c(x), is linearly related to the total output per day, x, write an equation for the cost function.
c(x)= ? (do not factor.)
b. the average cost per board for an output of x boards is given by c(x)=c(x)/x. find the average cost function.
c(x)= ? (do not factor.)
c. sketch a graph of the average cost function, including any asymptotes, for 1≤x≤30.
d. what does the average cost per board tend to as production increases? $= ?