The demand for a small textile company follows an up and down pattern. The quarterly demand is forecasted as below for this company:

Quarter

Demand forecast

Fall

$10,000$

Winter

$15,000$

Spring

$8,000$

Summer

$10913$

The company started with zero beginning inventory. It also would like to end up with zero units of ending inventory.

Given the above information, what is the level production rate if the company decides to follow a level strategy? Provide your answers as a number without units or commas. For example, if the answer is $8,450$ then input $8450.$