SOLUTION: 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. Projecti
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Question 107556: 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 josmiceli(19441) (Show Source):
You can put this solution on YOUR website! The equation is linear, so it will have the form
Cis plotted on the vertical axis, because it is the
"dependant" variable (dependant on x items produced)
x is the independant variable plotted on the horizontal axis.
b is the "C intercept". It's the cost of producing zero items
(overhead). From the points P2(x2,C2) and P1(x1,C1)
I can determine the slope, a
where
Now I have
I'll pick one of the points P(x,C) to solve for b answer
