Andalus Furniture Company has two manufacturing plants, one at Aynor and another at Spartanburg. The cost of producing $Q_1$ kitchen chairs at Aynor is

$75Q_1+5Q_1^2+110$

and the cost of producing $Q_2$ kitchen chairs at Spartanburg is

$25Q_2+2\mathrm{.}5Q_2^2+140$

minimize total production cost? What is the total production cost $($in dollars$)?$

Chairs at Aynor

$Q_1=10$

Chairs at Spartanburg $Q_2=$

Total Production cost $,C=$