A firm faces the price–demand relation p(q)=90−q dollars per unit and incurs a cost of C(q)=15q+200 dollars to produce q units. A per-unit tax of \10isimposedonthefirm,effectivelyincreasingitscostby10 for each unit sold. At what production level should the firm now operate to maximize profit?
a) q=37.5
b) q=42.5
c) q=32.5
d) q=35