$!$

Required information

$[$The following information applies to the questions displayed below.$]$

Black Diamond Company produces snowboards. Each snowboard requires $2$ pounds of carbon fiber. Management reports that $5,000$ snowboards and $6,000$ pounds of carbon fiber are in inventory at the beginning of the third quarter, and that $150,000$ snowboards are budgeted to be sold during the third quarter. Management wants to end the third quarter with $3,500$ snowboards and $4,000$ pounds of carbon fiber in inventory. Carbon fiber costs $$15$ per pound. Each snowboard requires $0\mathrm{.}5$ hour of direct labor at $$20$ per hour. Variable overhead is budgeted at the rate of $$8$ per direct labor hour. The company budgets fixed overhead of $$1,782,000$ for the quarter.