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).

Question

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)=

GPT 3.5 · Answer

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

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).

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).