SOLUTION: 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 li

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.
RELATED QUESTIONS
Business and finance. In planning for a new item, a manufacturer assumes that the number (answered by stanbon)

Business and finance. In planning for a new item, a manufacturer assumes that the... (answered by stanbon)

Business and finance. In planning for a new item, a manufacturer assumes that the number (answered by ankor@dixie-net.com)

Business and finance. In planning for a new item, a manufacturer assumes that the number (answered by funmath)

Business and finance. In planning for a new item, a manufacturer assumes that the number (answered by renevencer22)

Business and finance. In planning for a new item, a manufacturer assumes that the number (answered by oberobic)

Business and finance. In planning for a new item, a manufacturer assumes that the number (answered by jim_thompson5910)

Business and finance. In planning for a new item, a manufacturer assumes that the number... (answered by tutorcecilia)

I sent this one before but I have not received a response. Please help. Business and... (answered by jim_thompson5910)