Question

University Printing Services offer a program of reproducing class notes for participating professors teaching large classes with an enrollment uniformly distributed between 200 and 300 students. Professor Pulat has subscribed to this program. A copy of her notes costs $8 to produce and it sells for $12. The students purchase their books at the start of the semester. Any unsold notes are shredded for recycling as she makes changes to her notes every semester. In the meantime, when all copies are sold, no additional copies are printed. If the University Printing Services wants to maximize its revenues, how many copies should it print

Answer 1

Answer:

233 copies

Explanation:

Cost of shortage (Cs)= Revenue per unit - Cost per unit

Cost of shortage (Cs) = $12 - $8

Cost of shortage (Cs) = $4

Cost of excess (Ce) = Original cost per unit - Salvage value per unit

Cost of excess (Ce) = $8 - $0

Cost of excess (Ce) = $8

Service Level (SL) = Cs/(Cs+Ce)

Service Level (SL) = $4 / ($4+$8)

Service Level (SL) = $4/$12

Service Level (SL) = 0.33

Optimum Level = Minimum student + SL*(Maximum student - Minimum student)

Optimum Level = 200 + 0.33*(300 - 200)

Optimum Level = 200 + 33

Optimum Level = 233 copies