Suppose the market demand for pizza is given by 
Q Subscript d​ = 300minus20P.
The market supply for pizza is given by
Q Subscript s​ = 20Pminus​100,
where P​ = price​ (per pizza).
Part 2
Graph the supply and demand schedules for pizza using​ $5 through​ $15 as the value of P.
​1.) Using the line drawing​ tool, draw the demand curve. Label the demand curve​ 'D'.
​2.) Using the line drawing​ tool, draw the supply curve. Label the supply curve​ 'S'.


### Part 2: Graphing the Supply and Demand Curves for Pizza

We are given the following demand and supply equations:

- **Demand equation**: $ Q_d = 300 - 20P $
- **Supply equation**: $ Q_s = 20P - 100 $

Where $ P $ is the price per pizza, and $ Q $ represents the quantity.

#### Step 1: Construct a Table for the Demand and Supply Schedules

We will use values of $ P $ from $5 to $15 (inclusive) and calculate the corresponding quantities for both demand and supply.

#### Demand Schedule Calculation:

For the demand equation $ Q_d = 300 - 20P $:

- At $ P = 5 $: $ Q_d = 300 - 20(5) = 300 - 100 = 200 $
- At $ P = 6 $: $ Q_d = 300 - 20(6) = 300 - 120 = 180 $
- At $ P = 7 $: $ Q_d = 300 - 20(7) = 300 - 140 = 160 $
- At $ P = 8 $: $ Q_d = 300 - 20(8) = 300 - 160 = 140 $
- At $ P = 9 $: $ Q_d = 300 - 20(9) = 300 - 180 = 120 $
- At $ P = 10 $: $ Q_d = 300 - 20(10) = 300 - 200 = 100 $
- At $ P = 11 $: $ Q_d = 300 - 20(11) = 300 - 220 = 80 $
- At $ P = 12 $: $ Q_d = 300 - 20(12) = 300 - 240 = 60 $
- At $ P = 13 $: $ Q_d = 300 - 20(13) = 300 - 260 = 40 $
- At $ P = 14 $: $ Q_d = 300 - 20(14) = 300 - 280 = 20 $
- At $ P = 15 $: $ Q_d = 300 - 20(15) = 300 - 300 = 0 $

#### Supply Schedule Calculation:

For the supply equation $ Q_s = 20P - 100 $:

- At $ P = 5 $: $ Q_s = 20(5) - 100 = 100 - 100 = 0 $
- At $ P = 6 $: $ Q_s = 20(6) - 100 = 120 - 100 = 20 $
- At $ P = 7 $: $ Q_s = 20(7) - 100 = 140 - 100 = 40 $
- At $ P = 8 $: $ Q_s = 20(8) - 100 = 160 - 100 = 60 $
- At $ P = 9 $: $ Q_s = 20(9) - 100 = 180 - 100 = 80 $
- At $ P = 10 $: $ Q_s = 20(10) - 100 = 200 - 100 = 100 $
- At $ P = 11 $: $ Q_s = 20(11) - 100 = 220 - 100 = 120 $
- At $ P = 12 $: $ Q_s = 20(12) - 100 = 240 - 100 = 140 $
- At $ P = 13 $: $ Q_s = 20(13) - 100 = 260 - 100 = 160 $
- At $ P = 14 $: $ Q_s = 20(14) - 100 = 280 - 100 = 180 $
- At $ P = 15 $: $ Q_s = 20(15) - 100 = 300 - 100 = 200 $

#### Step 2: Graph the Curves

On the graph, the x-axis represents the quantity $ Q $ of pizzas, and the y-axis represents the price $ P $.

- **Demand curve**: It will be a downward-sloping line showing an inverse relationship between price and quantity demanded.
- **Supply curve**: It will be an upward-sloping line showing a direct relationship between price and quantity supplied.

Let me know if you would like me to generate this graph for you.

#### Would you like more details or have any further questions?

Here are five related questions to deepen your understanding:
1. What is the equilibrium price and quantity in this market?
2. How does the market adjust if the price is above the equilibrium?
3. What happens to the demand curve if consumer preferences shift towards pizza?
4. How would a subsidy to pizza producers affect the supply curve?
5. How do price ceilings or floors impact the supply-demand graph?

**Tip**: Always remember that the demand curve shows how price influences quantity demanded, while the supply curve shows how producers respond to price changes.

Suppose the market demand for pizza is given by Qd = 300 - 20P. The market supply for pizza is given by Qs = 20P - 100, where P = price (per pizza). Graph the supply and demand schedules for pizza using $5 through $15 as the value of P. Draw the demand curve 'D' and the supply curve 'S'.

This tutorial covers the graphing of supply and demand curves for pizza, based on given linear equations. Follow along as we calculate the quantity demanded and supplied for prices between $5 and $15. Learn key concepts like supply and demand, equilibrium, and linear graphing. Suitable for Grades 9-12 students.

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