Question 56998: 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
Thank you
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 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
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You have two points to work with: (100,10000) and (300,22000)
You want C=mx+b and need to know m and b:
m= [22000-10000]/[300-100]=12000/200=60
Then:
10000=60(100)+b
10000=6000+b
b=4000
EQUATION:
Cost=60x+4000
Cheers,
Stan H.
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