Gradient Od = TP /L = APL =470/9
At to point d the ray is tangential to the curve and AP is maximized .As the ray is also a tangent then AP must equal MP at this point. Prior to point d , MP exceeds AP as the slope of a tangent at any point exceeds the slope of a ray. Beyond point d AP exceeds MP. The ray is now steeper than the tangent at any point . There is therefore a clear relationship between ten The marginal and average values. If MP is rising, so must AP. Once MP equals AP than MP equals AP Then AP is at a maximum, and when MP falls below AP then AP must fall.
The above relationships are encapsulated in the principle of diminishing returns: