In 1796, Gottfried Christoph Hartel, a German music publisher, calculated the cost of printing music using an engraved plate technology and used these estimated costs functions to make productions decisions. Hartel figured that the fixed cost of printing a musical page - the cost of engraving the plates was 900 pfenninfgs. The marginal cost of each additional copy of the page was 5 pfennings.
a) Graph the total cost, average total cost, average variable cost, and marginal cost functions
b) is there a cost advantage to having only one music publisher print a given composition? Why?
c) Hartel used his data to do the following type of analysis: Suppose he expected to sell exactly 300 copies of a composition at 15 pfennings per page. What is the highest price the publisher would be willing to pay the composer per page of the composition if he wants to least break even?