Posted by Casey on Saturday, March 3, 2012 at 2:48pm.
A sporting goods store sells 100 pool tables per year. It costs $20 to store one pool table for a year, based on the average inventory on hand. It costs $40 for each delivery of pool tables. How many times per year and in what lot size should the store order pool tables to minimize its inventory costs?
I am confused for this one.

Calculus  Susan, Saturday, March 3, 2012 at 3:27pm
I'm not sure but I'll explain my thinking:
t= # of deliveries
p = # of tables in each delivery
40t+20p = Inventory costs
tp=100 because 100 are sold a year, t=100/p
40(100/p)+20p = Inventory costs
4000/p + 20p = Inventory costs
To minimize set derivative = 0
4000/p^2 +20=0
p = sqrt 200=
about 17 pool tables, 100/17 = 6 times a year

Calculus  Casey, Saturday, March 3, 2012 at 4:19pm
are you sure its 17?

Calculus  Susan, Saturday, March 3, 2012 at 4:49pm
No! I am mistaken the square root of 200 is approximately 14 = p
100/14=# of times
7 gives you 98 tables
8 deliveries gives you 112
Answer This Question
Related Questions
 Calculus  A sporting goods store sells 100 pool tables per year. It costs $20 ...
 Calculus  A sporting goods store sells 100 pool tables per year. It costs $20 ...
 Calculus please help  A sporting goods store sells 100 pool tables per year. ...
 Calc  This summer Borice decides to put a rectangular swimming pool in his back...
 math  a rectangular swimming pool is 15 yds x 25 yds. the bottom of the pool ...
 Business  3. Sam's Watch Shop sells 2,500 watches a year. The store estimates ...
 Math  Pool tables are rectangular, and their length is twice the width. Find ...
 accounting  a) Use the following data to compute averafe revenues per store, ...
 economics  the smith company made and sold 10,000 metal tables last year. when ...
 math  A corner store sells two kinds of baked goods: cakes and pies. A cake ...
More Related Questions