How can a firm use a cumulative expenditures curve--illustrating - id2627230, hansen8031

Question

Social Studies: How can a firm use a cumulative expenditures curve--illustrating the firm s historical pattern of product development costs--to guide/improve its future development efforts?

hansen8031 · Accepted Answer

The slopes are the opposite and reciprocal

Step-by-step explanation:

The Slope of a Line

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

We need to prove lines RS and VU of the figure have the opposite and reciprocal slope, i.e., the lines are perpendicular.

Finding the coordinates of the points from the image:

R=(-2,5) S=(-5,2) V=(5,2) U=(2,5)

The slope of the line RS is:

$\displaystyle m_1=\frac{2-5}{-5+2}=\frac{-3}{-3}=1$

The slope of line VU is:

$\displaystyle m_2=\frac{5-2}{2-5}=\frac{3}{-3}=-1$

Since:

$m_1\times m_2=-1$

The slopes are the opposite and reciprocal

How can a firm use a cumulative expenditures curve--illustrating the firm's historical pattern of product development costs--to guide/improve its future development efforts?

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