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## Homework Statement

A sporting goods store sells 135 pool tables per year. It costs $10 to store one pool table for a year. To reorder, there is a fixed cost of $27 per shipment plus $18 for each pool table. How many times per year should the store order pool tables, and in what lot size, in order to minimize inventory costs?[/B]

## Homework Equations

Yearly Carrying Cost = $10 (x/2) -> 5x

Yearly Reorder Cost = 27+18x(135/x)

## The Attempt at a Solution

C(x) = 5x + (45x) (135/x)

Am I doing this right? I can't tell since I messed up when I was taking my notes... Im not sure how to continue. I know I have to find the derivative after, but I don't know how I would condense X