The price p (in dollars) and the quantity x sold of a certain product satisfy the demand equation x=-5p+200. Find a model that expresses the revenue R as a function of p. (Remember, Requals=xp.)

Question

The price p​ (in dollars) and the quantity x sold of a certain product satisfy the demand equation x=-5p+200. Find a model that expresses the revenue R as a function of p.​ (Remember, Requals=​xp.)
​R(p)=

GPT 3.5 · Answer

R(p) = p * (-5p + 200) R(p) = -5p^2 + 200p

The price p​ (in dollars) and the quantity x sold of a certain product satisfy the demand equation x=-5p+200. Find a model that expresses the revenue R as a function of p.​ (Remember, Requals=​xp.)

The price p (in dollars) and the quantity x sold of a certain product satisfy the demand equation x=-5p+200. Find a model that expresses the revenue R as a function of p. (Remember, Requals=xp.)