The campus bookstore wants to figure out the optimal number

of an operations management textbook to buy for the upcoming semester.

The cost and price is as follows:

Cost$/$unit $=$ $ $109\mathrm{.}00$

Selling price$/$unit $=$ $ $145\mathrm{.}50$

At the end of the semester, the leftover books can be sold back to the publisher

at cost less $10\%.$ That is$,$ they get $90\%$ of the cost back.

Put your answers here:

a$.$ What is the shortage cost per unit?

b$.$ What is the excess cost per unit?

c$.$ What is the optimal service level?

d$.$ The bookstore has historical data for this textbook for $30$ semesters:

$1.45$

$2.44$

$3.48$

$4.52$

$5.54$

$6.48$

$7.37$

$8.40$

$9.56$

$10.45$

$11.47$

$12.48$

$13.52$

$14.55$

$15.50$

$16.52$

$17.56$

$18.40$

$19.55$

$20.50$

$21.50$

$22.54$

$23.48$

$24.50$

$25.54$

$26.58$

$27.44$

$28.48$

$29.47$

$30.50$ Create a cumulative frequency table of the number of textbooks sold per semester.

Paste your cumulative frequency table to the right.

e$.$ What is the optimal number of books to buy for this semester?