Find producer's surplus at the market equilibrium point if supply function is
$p=0.7 x+6$ and the demand function is $p=\frac{193.6}{x+18}$.
Answer:

Step 1 ：Let's denote the supply function as \(p_s = 0.7x + 6\) and the demand function as \(p_d = \frac{193.6}{x+18}\).

Step 2 ：The equilibrium point is where the supply equals the demand, i.e., \(p_s = p_d\).

Step 3 ：Solving the equation \(0.7x + 6 = \frac{193.6}{x+18}\) gives us the equilibrium quantity, which is \(x = -30.5714285714286\).

Step 4 ：However, the quantity cannot be negative in this context, which means there is no equilibrium point where the supply equals the demand.

Step 5 ：Since there is no equilibrium point, the producer's surplus, which is the area between the supply curve and the price line from 0 to the equilibrium quantity, cannot be calculated.

Step 6 ：\(\boxed{\text{The producer's surplus cannot be calculated because there is no equilibrium point where the supply equals the demand.}}\)