Assume you have been assigned the task of identifying a level strategy aggregate production plan for the coming year. You have been informed that beginning inventory is $2,000$ units, your plan should provide an ending inventory for the year equal to $500$ units, and you have been provided the following forecasts of aggregate demand. What should be the planned rate of quarterly production?

Qtr$.$ Forecast

$16,000$

$25,500$

$35,000$

$46,500$

Multiple Choice

$5,375$ units

$6,500$ units

$5,625$ units

$6,000$ units