The price p​ (in dollars) and the quantity x sold of a certain product satisfy the demand equation x x=−6p+300. Answer parts​ (a) through​ (g).

a) Find a model that expresses the revenue R as a function of p.​ (Remember, R=​xp.)
​R(p)=

R(p) = p(-6p + 300)

R(p) = -6p^2 + 300p