A profit$-$maximizing monopolist faces a demand function given by q $=$

$302$p$,$ where p is the price of her output in dollars. She has a constant

marginal cost of $$5$ per unit of output. In an effort to induce her to

increase her output, the government agrees to pay her a subsidy of $$4$

for every unit that she produces. She will

$($a$)$ decrease her price by $$2$ per unit.

$($b$)$ decrease her price by $$4$ per unit.

$($c$)$ decrease her price by $$3$ per unit.

$($d$)$ decrease her price by $$1$ per unit.

$($e$)$ not change her price.