A manufacturer estimates that its product can be produced at a total cost of C$($x$)=35,000+1\mathrm{}20$x $+$ x$3$ dollars.

If the manufacturer\'s total revenue from the sale of x units is R$($x$)=3400$x dollars, determine the level of production x that will maximize the profit. $($Round your answer to the nearest whole number.$)$ units

Find the maximum profit. $($Round your answer to the nearest dollar.$)$ $