$p=0.7 x+6$ and the demand function is $p=\frac{193.6}{x+18}$.
Answer:
Final Answer: The solution to the system of equations is \(\boxed{4}\)
Step 1 :Set the two equations equal to each other: \(0.7x + 6 = \frac{193.6}{x + 18}\)
Step 2 :Solve the equation for x, which gives two solutions: x = -30.57 and x = 4
Step 3 :However, in the context of the problem, x cannot be negative because it represents a quantity (such as the number of units sold)
Step 4 :Therefore, the only valid solution is x = 4
Step 5 :Final Answer: The solution to the system of equations is \(\boxed{4}\)