Plot and draw the relationship between cost and the number of bottle produced

• The horizontal axis (x-axis) represents the Number of Bottles Produced ($x$).
• The vertical axis (y-axis) represents Total Cost (₦) ($C(x)$).

The cost function is given by:

• Point 1 (Y-intercept - Fixed Cost): When no bottles are produced ($x=0$), the cost is the fixed cost.

  $$C(0) = 10,000 + 0.03 \times 0 = 10,000$$

  Plot the point $(0, 10,000)$.

• Point 2 (Cost at Maximum Annual Capacity): The annual capacity is 600,000 bottles.

  $$C(600,000) = 10,000 + 0.03 \times 600,000$$ $$C(600,000) = 10,000 + 18,000$$ $$C(600,000) = 28,000$$

  Plot the point $(600,000, 28,000)$.

• Draw a straight line connecting the two points: $(0, 10,000)$ and $(600,000, 28,000)$.
• This line represents the total cost of producing different quantities of bottles, up to the annual capacity.

Description of the Graph:
The graph will be a straight line that starts at ₦10,000 on the vertical axis (representing the fixed cost) and slopes upwards. As the number of bottles produced increases along the horizontal axis, the total cost increases linearly along the vertical axis.