Posted: August 2nd, 2015

Ms. Smith, the owner and manager of the Clear Duplicating Service Located near a major university, is contemplating keeping her shop open after 4p.m. and until midnight.

Ms. Smith, the owner and manager of the Clear Duplicating Service Located near a major university, is contemplating keeping her shop open after 4p.m. and until midnight. In order to do so, she would have to hire additional workers. She estimates that the additional workers would generate the following total output (where each unit of output refers 100 pages duplicated). If the price of each unit of output is $10 and each worker hired must be paid $40 per day, how many workers should Ms. Smith hire?
Workers hired 0 1 2 3 4 5 6
Total product 0 12 22 30 36 40 42
** Ms. Smith should hire workers as long as their marginal revenue product (MRP) exceeds their marginal resource cost (MRC), and until MRP=MRC. MRP=MR x MP = P x MP = $10 x MP and MRC=wages=$40. Please use the information in the problem to figure out MP.