Pie-Selling Scenerio

​Pi Time

By Erich Myers

Every year, the math club at your school sells pies on Pi Day as a fundraiser. Since your have done this for several years, you have data to use in setting the price. When you make 160 pies, you sold them all at $6 per pie. When you make 80 pies, you sold them all for $10 each. Your principal has allowed you to use the school cafeteria kitchen for a one-time, nonrefundable fee of $300, and the ingredients for each pie cost $2. how many pies should you make to maximize profit? How much should you sell the pies for? How Much money will you make?

​Pie-Selling Scenerio

Multiple Choice

What function is represented by the equation

$$R\left(x\right)=P\left(x\right)\cdot x$$

• Cost of pies

• Revenue for pies sold

• Price of pies

• Profit of pies sold

Multiple Choice

What function is represented by the equation

$$P\left(x\right)=-\frac{1}{20}x+14$$

• Cost of pies

• Revenue for pies sold

• Price of pies

• Profit of pies sold

Multiple Choice

What function is represented by the equation

$$C\left(x\right)=2x+300$$

• Cost of pies

• Revenue for pies sold

• Price of pies

• Profit of pies sold

Multiple Choice

What function is represented by the equation

$$S\left(x\right)=R\left(x\right)-C\left(x\right)$$

• Cost of pies

• Revenue for pies sold

• Price of pies

• Profit of pies sold

Multiple Choice

To maximize revenue, how much should you sell the pies for?

• $6

• $7

• $8

• $9

Multiple Choice

If you maximized revenue, how many pies did you make?

• 100

• 140

• 160

• 280

Multiple Choice

if you maximized revenue, how much revenue did you make?

• $800

• $960

• $980

• $1000

Multiple Choice

If you maximize profit, how many pies do you need to make?

• 100

• 120

• 140

• 160

Multiple Choice

If you maximize profit, how much profit can you make?

• $340

• 
  $400

• $420

• $500