Solve and plot a graph

From the problem description:

• Selling price per tortilla = R15
• Cost to make one tortilla = R5
• Fixed cost (stall rent) = R500

The formula for Total Income (I) for $n$ tortillas is:

$$I = 15n$$

The formula for Total Cost (C) for $n$ tortillas is:

$$C = 5n + 500$$

Using the formula $C = 5n + 500$:

• For $n = 0$: $C = 5(0) + 500 = 500$
• For $n = 50$: $C = 5(50) + 500 = 250 + 500 = 750$
• For $n = 100$: $C = 5(100) + 500 = 500 + 500 = 1000$
• For $n = 150$: $C = 5(150) + 500 = 750 + 500 = 1250$
• For $n = 200$: $C = 5(200) + 500 = 1000 + 500 = 1500$
• For $n = 250$: $C = 5(250) + 500 = 1250 + 500 = 1750$

The completed tables are:

Total Income

Number of tortillas (n)	0	50	100	150	200	250
Total Income (R)	0	750	1500	2250	3000	3750

Total Cost

Number of tortillas (n)	0	50	100	150	200	250
Total Cost (R)	500	750	1000	1250	1500	1750

To plot the graph, you will use the number of tortillas ($n$) on the x-axis and the amount in Rands (R) on the y-axis.

Points for Total Income ($I = 15n$):

$$(0, 0), (50, 750), (100, 1500), (150, 2250), (200, 3000), (250, 3750)$$

Points for Total Cost ($C = 5n + 500$):

$$(0, 500), (50, 750), (100, 1000), (150, 1250), (200, 1500), (250, 1750)$$

1. Draw a coordinate plane.
2. Label the horizontal axis (x-axis) as "Number of Tortillas (n)" and the vertical axis (y-axis) as "Amount (R)".
3. Choose an appropriate scale for both axes. For the x-axis, you can use increments of 50. For the y-axis, you can use increments of 500 or 750.
4. Plot the points for Total Income and draw a straight line connecting them. This line represents the revenue.
5. Plot the points for Total Cost and draw a straight line connecting them. This line represents the total expenses.
6. Identify the break-even point, which is where the Total Income line intersects the Total Cost line. At this point, income equals cost, and there is no profit or loss. To find the break-even point: $$15n = 5n + 500$$ $$10n = 500$$ $$n = 50$$ At $n=50$, $I = 15(50) = 750$ and $C = 5(50) + 500 = 750$. The break-even point is at (50 tortillas, R750).

The graph will show that for fewer than 50 tortillas, the cost is higher than the income (loss), and for more than 50 tortillas, the income is higher than the cost (profit).