PLEASE HELP!! I have no idea how to do this!! 30 POINTS I know I really shouldn't have to say this but, if you don't know what the answers are, there is no need to tell me you don't know and get point

PLEASE HELP!! I have no idea how to do this!! 30 POINTS

I know I really shouldn't have to say this but, if you don't know what the answers are, there is no need to tell me you don't know and get points

for nothing. Just simply skip this question if you know you can't help.

Dakota’s dance troupe sold T-shirts as a fundraiser so that they could go to summer camp. When the girls began their fundraiser, 600 people wanted their T-shirts. They were actually short by 210 T-shirts, so the troupe ordered more. They raised the price in hopes of earning more profit, but when the price increased, the demand went down. Use the given information to analyze what happened with the fundraiser.

Question 1:

When the fundraiser began, 600 people wanted to purchase the dance troupe’s T-shirts at $12 per T-shirt, but as the group increased the price of their T-shirts, they noticed a fall in the demand. For every $1 increase in price, the demand fell by 50 shirts. The dance troupe’s initial supply was short by 210 T-shirts which corresponded to an initial price of $9.75. For every $1 increase in price, they ordered 40 more T-shirts. Write a system of linear equations to represent both the demand and supply for the T-shirts. Let q represent the quantity of T-shirts and p represent the price.

Question 2:

Use the system of linear equations you wrote to solve for the variables p and q. Show all work.

Question 3:

The values for p and q represent the equilibrium point. As related to the troupe’s fundraiser, what does the equilibrium point represent?

Question 4:

What happens when the quantity is above the equilibrium point?

Question 5:

What happens when the quantity is below the equilibrium point?