For the following demand equation, express the total revenue R as a function of the price p per item. $q = - 2 p + 1600$
A) $R = - 2 p ^ { 2 } + 1600 p$
B) $R = - 2 p ^ { 2 } + 1600$
C) $R = 1598 p$
D) $R = - 2 + \frac { 1600 } { p }$
E) $R = - 2 p ^ { 2 }$

Question

For the following demand equation, express the total revenue R as a function of the price p per item.  $q = - 2 p + 1600$  
A) $R = - 2 p ^ { 2 } + 1600 p$
B) $R = - 2 p ^ { 2 } + 1600$
C) $R = 1598 p$
D) $R = - 2 + \frac { 1600 } { p }$
E) $R = - 2 p ^ { 2 }$

Quizplus · Accepted Answer

Total revenue $R$ is calculated as the product of price per item $p$ and quantity $q$, so $R = p \times q$. Substituting $q = -2p + 1600$ into this formula gives $R = p(-2p + 1600) = -2p^2 + 1600p$.

For the Following Demand Equation, Express the Total Revenue R q=−2p+1600q = - 2 p + 1600q=−2p+1600

For the Following Demand Equation, Express the Total Revenue R $q = - 2 p + 1600$