document.write( "Question 60402: 64. Minimizing cost. A company uses the formula C(x) = 0.02x^2 – 3.4x + 150 to model the unit cost in dollars for producing x stabilizer bars. For what number of bars id the unit cost at its minimum? What is the unit cost at level of production? \n" ); document.write( "

Algebra.Com's Answer #43900 by 303795(602) $\"\"$ $\"About$

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The minimum will be on the Line of Symmetry at the Turning Point.
\n" ); document.write( "The LOS can be found using LOS =-b/2a with a being the x^2 coefficient and b being the x coefficient
\n" ); document.write( "For the equation C(x) = 0.02x^2 – 3.4x + 150
\n" ); document.write( "the LOS = 3.4/(2*0.02)
\n" ); document.write( "= 3.4/0.04
\n" ); document.write( "= 85
\n" ); document.write( "Substitute x = 85 into the Cost equation to find the cost of producing that many bars\r
\n" ); document.write( "\n" ); document.write( " $\"C=0.02%2A85%5E2-3.4%2A85%2B150\"$
\n" ); document.write( " $\"C=144.5-289%2B150\"$
\n" ); document.write( " $\"C=5.50\"$
\n" ); document.write( "The cost per item is found by dividing the cost by the number of items
\n" ); document.write( " $\"Cost+per+item+=5.50%2F85\"$ = $0.064 \n" ); document.write( "

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