Question 106430:  The CALC Company makes basic scientific calculators.  Each calculator costs $2.25 to produce.  The fixed costs of production are $10,500 per month.  These calculators sell for $10.75 each.  If the company produces and sells 550,000 calculators in February, find the profit or loss for the company for the month of February. 
 Answer by stanbon(75887)      (Show Source): 
You can  put this solution on YOUR website! The CALC Company makes basic scientific calculators.  Each calculator costs $2.25 to produce.  The fixed costs of production are $10,500 per month.  These calculators sell for $10.75 each.  If the company produces and sells 550,000 calculators in February, find the profit or loss for the company for the month of February. 
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Let "x" be the number of calculators produced in a month. 
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Cost function: C(x) = 10,500+2.25x 
Income function: I(x) = 10.75x 
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February DATA: 
C(550,000) = 10500+2.25(550000) = 1,248,000 
I(550,000) = 10.75(550000) = $5,912,500 
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Profit function: P(x) = I(x)-C(x) 
P(550,000) = 5912500-1248000= $4,664,500 
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Cheers, 
Stan H. 
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