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 117882: 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! Basically, and is linear (straight line)
The general equation for a straight line is
where is the slope and is the y-intercept. How
can I modify this general equation for use in this problem? will take the place of . I will have to find out
values for and based on data given.
This is 2 equation and 2 unknowns, so I can solve it
Multiply the 1st by and subtract the 2nd from the 1st
Substitute this into the 1st
Plugging and back into the general equation, answer
check answer
Does this equation work with given data?
OK
OK
