Name: __________________________ Date: ___________________________

MCR3U: Homework Choice Assignment #2
Due: Tuesday, May 1st, 2007

	Please choose 4 out of the 6 questions listed below.  Good luck and have fun!

1) Find the intersection point(s) of y = 3x – 4 and y = -3x² + 2x

2) Find the intersection points(s) of x² + 4y² = 40 and x + 2y = 6

3) If y = 3x² - 5x + 3, find the equation of a line that will
	a) intersect the graph at two points	
	b) intersect the graph at only one point
	c) not intersect the graph

4) Spider-Man swings through the air at a path of h(t) = 0.5t² - 5t + 13, where t is time and h(t) is Spidey’s height after t seconds
a) Will Spider-Man hit a maximum or minimum and how will you know?
b) What is Spider-Man’s maximum/minimum height? (depending on your answer to a)
c) Spider-Man did this swinging to get to the top of a 10m building (where he will save the day).  How long will it take him to get there?

5)  The demand function for a new product is p(x) = -5x + 22, where x is the number of items sold in thousands and p is the price in dollars.  The cost function is C(x) = 3x + 15
a) State the corresponding revenue function
b) Find the corresponding profit function.
c) Complete the square to find the value of x that will maximize profits.
d) Find the break-even quantities (when profit is zero)

6) A car rental agency has 150 cars.  The owner finds that, at a price of $48 per day, he can rent all the cars.  For each $2 increase in price, the demand is less and 4 fewer cars are rented.  For each car that is rented, there are routine maintenance costs of $5 per day.  What rental charge will maximize profit?