14) A university orders all office supplies, including red grading pens, out of a catalog from the same
supplier. Conservative estimates of the demand for these red pens are 12,000 pens per year. There is a $25
charge for placing an order and the university has a $10 annual cost for holding these pens. Prices for the
pens are based on the quantity purchased, so if less than 100 are ordered, the unit price is $2.50, if 100 to
299 are ordered, the unit price is $2.40, if 300 to 499 are ordered, the unit price is $2.30, and if 500 or more
are ordered, the unit price is $2.20. What order quantity will result in the lowest total annual cost to the
university?
A) 100
B) 245
C) 300
D) 500
15) A haberdashery orders ties from manufacturers overseas to satisfy their demand rate of 5,000 units
per year that has been stable for the past decade. Placing an order costs 15 euro and holding each cravat
in inventory for a year costs 2 euro. The manufacturer offers price breaks for large orders: ordering
between 1 and 99 cravats earns the haberdashery a price of 3.5 euro, but ordering 100 to 999 carries a 3.4
euro price. An order of 1000 cravats or more drops the price to 3.3 euro. What’s the optimal order
quantity for the haberdashery?
A) 99
B) 274
C) 382
D) 999
16) Willard offers infestation services for friendly tenants according to the following price schedule: for
up to 99 mice, the price is $1.05 each, for 100 up to 499 mice the price is $1.00 each, and for any order
exceeding 500 mice, the cost is $0.95. He has a flat $250 delivery fee regardless of order quantity. Crystal
will need 10,000 mice this year and face a $1 holding cost. What is her optimal order quantity?
A) 99
B) 100
C) 500
D) 2236