Answer to Question #87444 in Linear Algebra for Pooben

Question

The profit made by a company when 60 units of its product is sold is R 1 600.00. When 150 units of its products are sold, the profit increases to R 5 200.00. Assuming that the profit function is linear and of the form

Answer 1

We have two points with coordinates: A(60, 1600) and B(150, 5200). Since the function is linear, we use the formula $\frac {x - x_1} {x_2-x_1}=\frac {y-y_1} {y_2-y_1}$ (

$x_1=60$

$x_2=150$

$y_1=1600$

$y_2=5200$

$$\frac {x-60} {90} = \frac {y-1600} {3600}$$

$$(x-60)*3600=(y-1600)*90$$

$$90*y=3600*x-72000$$

$$y=40*x-800$$