Question 117675: Business and finance. In planning for a new item, a manufacturer assumes that
the number of items produced x and the cost in dollars C of producing these items are related by a linear equation. Projections are that 100 items will cost $10,000 to produce and that 300 items will cost $22,000 to produce. Find the equation that relates C and x.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Business and finance. In planning for a new item, a manufacturer assumes that
the number of items produced x and the cost in dollars C of producing these items are related by a linear equation. Projections are that 100 items will cost $10,000 to produce and that 300 items will cost $22,000 to produce. Find the equation that relates C and x.
------------
You want C as a function of x.
You have two points relating x and C:
(100,10000) and (300,22000)
------------
slope = (22000-10000)/(300-100) = 12000/200 = 60
------------
C = mx + b
10000 = 60*100 + b
b = 10000 - 6000
b = 4000
EQUATION:
C(x) = 60x+4000
==================
Cheers,
Stan H.
|
|
|
