Assignment:
Solve the following problems:
Q1. The weekly demand model for a new toy is given by:
N = -5p + 80
The weekly supply model for the same toy is:
N = 3p + 40
For the models p is the price of the toy and N is the number of toys sold or supplied. Find the price at which supply and demand are equal.
Q2. A charity sells tickets for a fundraising dinner. Each adult's ticket costs $10 and each child's ticket costs $5. A total $1050 was raised by selling 130 tickets. How many adults tickets were sold? How many children's tickets were sold?
Q3. The perimeter of a rectangular room is 120 feet. The sum of four times the width and three times the length is 204 feet. Find the length and the width.
Provide complete and step by step solution for the question and show calculations and use formulas.