Assume that the price of silk ties in a perfectly competitive market is $19 and that the typicalfirm confronts the following costs:Quantity(ties per day) 0 1 2 3 4 5 6 7 8 9 10Total cost $10 $17 $26 $37 $50 $65 $82 $101 $122 $145 $170( a ) What is the profit-maximizing rate of output for the firm?( b ) How much profit does the firm earn at that rate of output?( c ) If the price of ties fell to $15, how many ties should the firm produce?( d ) At what price should the firm shut down? 

Assume that the price of silk ties in a perfectly competitive market is $19 and that the typicalfirm confronts the following costs:Quantity(ties per day) 0 1 2 3 4 5 6 7 8 9 10Total cost $10 $17 $26 $37 $50 $65 $82 $101 $122 $145 $170( a ) What is the profit-maximizing rate of output for the firm?( b ) How much profit does the firm earn at that rate of output?( c ) If the price of ties fell to $15, how many ties should the firm produce?( d ) At what price should the firm shut down?