Chapter 14.3, Problem 30E

(a)

To determine

To calculate: The marginal demand of $q_A$ with respect to $p_A$. The demand functions for $q_A$ and $q_B$ units of two related products, A and B, are given by $q_A=2500+\frac{600}{p_A+2}-40p_B$ and $q_B=3000-100p_A+\frac{400}{p_B+5}$. Assume that $p_A$ and $p_B$ are in dollars.

(b)

To determine

To calculate: The marginal demand of $q_A$ with respect to $p_B$. The demand functions for $q_A$ and $q_B$ units of two related products, A and B, are given by $q_A=2500+\frac{600}{p_A+2}-40p_B$ and $q_B=3000-100p_A+\frac{400}{p_B+5}$. Assume that $p_A$ and $p_B$ are in dollars.

(c)

To determine

To calculate: The marginal demand of $q_B$ with respect to $p_B$. The demand functions for $q_A$ and $q_B$ units of two related products, A and B, are given by $q_A=2500+\frac{600}{p_A+2}-40p_B$ and $q_B=3000-100p_A+\frac{400}{p_B+5}$. Assume that $p_A$ and $p_B$ are in dollars.

(d)

To determine

To calculate: The marginal demand of $q_B$ with respect to $p_A$. The demand functions for $q_A$ and $q_B$ units of two related products, A and B, are given by $q_A=2500+\frac{600}{p_A+2}-40p_B$ and $q_B=3000-100p_A+\frac{400}{p_B+5}$. Assume that $p_A$ and $p_B$ are in dollars.

(e)

To determine

Whether the two goods, A and B, are competitive or complementary. The demand functions for $q_A$ and $q_B$ units of two related products, A and B, are given by $q_A=2500+\frac{600}{p_A+2}-40p_B$ and $q_B=3000-100p_A+\frac{400}{p_B+5}$. Assume that $p_A$ and $p_B$ are in dollars.