(Math 24)

1..Consider the supply equation below, wherexrepresents the quantity demanded in units of a thousand andpis the unit price in dollars.

p=x²+14x+36

2.In the pair of supply and demand equations below,xrepresents the quantity demanded in units of a thousand andpthe unit price in dollars.

p= -x²-2x+61andp=4x+21

Find the equilibrium quantity.

_____ thousand units

Find the equilibrium price=

3.In the pair of supply and demand equations below,xrepresents the quantity demanded in units of a thousand andpthe unit price in dollars.

p=92-4x²andp=x²+5x+32

Find the equilibrium quantity.

____thousand units

Find the equilibrium price.

$_____

4.The weekly demand and supply functions for Sportsman 5 X 7 tents are given by the following respective functions wherepis measured in dollars andxis measured in units of a hundred.

Find the equilibrium quantity.

____hundred units

Find the equilibrium price.

$____

5.The management of the Titan Tire Company has determined that the weekly demand and supply functions for their Super Titan tires are given by the following equations, wherepis measured in dollars andxis measured in units of a thousand.

p=97x²

p=41+5/2x²

Find the equilibrium quantity.

_____units

Find the equilibrium price.

$_____