Arthur Corporation used regression analysis to predict the annual cost of indirect materials. The results were as follows:

Indirect Materials Cost Explained by Units Produced

Constant $$20000$

Standard error of Y estimate $$500$

R$20\mathrm{.}743$

Number of observations $645$

X coefficient$($s$)21$

Standard error of coefficient$($s$)1\mathrm{.}7$

If the company expects to produce $15,000$ units, what is the estimated cost of indirect materials?