Assume it costs Microsoft 5000 to manufacture 5 Xbox 360s an

Assume it costs Microsoft $5,000 to manufacture 5 Xbox 360s and $7,700 to manufacture 10. Obtain the corresponding linear cost function.

C(x)=?

What was the cost to manufacture each additional xbox?

Solution

( 5 XBOX, $ 5000) and ( 10XBOX, $7700)

we have two points we can find a linear function:

slope = (7700 -5000)/( 10 -5) = 2700/5 = 540 dollar /XBOX

C(x) = mx +c

C(x) = 540x +c .use one of the point to find c ( 5 , 5000)

5000 = 540*5 +c ----> c = 2300

C(x) = 540x + 2300

Cos to manufature each additional box: $540