document.write( "Question 107995: Minimizing Cost, A company uses the formula C(x)=0.02xSquared - 3.4x + 150 t?o model the unit cost in dollars for producing x stabilizer bars. For what number of bars is the unit cost at its mimimum? What is the unit cost at that level of production?\r
\n" ); document.write( "\n" ); document.write( "Haven't got a clue what this problem is asking of me. Please help?
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Algebra.Com's Answer #78738 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
): Minimizing Cost, A company uses the formula C(x)=0.02xSquared - 3.4x + 150 to model the unit cost in dollars for producing x stabilizer bars. For what number of bars is the unit cost at its mimimum? What is the unit cost at that level of production?
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\n" ); document.write( "C(x) = .02x^2 - 3.4x + 150; where x = number of units produced
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\n" ); document.write( "Here's a clue:
\n" ); document.write( "This is a quadratic equation, if we find the axis of symmetry, we will have the value of x for which the minimum occurs:
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\n" ); document.write( "The axis of symmetry: x = -b/(2a): In this equation a=.02 and b=-3.4
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\n" ); document.write( "x = -(-3.4)/(2*.02)
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\n" ); document.write( "x = +3.4/.04
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\n" ); document.write( "x = 85 units for minimum cost
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\n" ); document.write( "\"Find the unit cost?\" Substitute 85 for x in the original equation
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\n" ); document.write( "Cost = .02(85^2) - 3.4(85) + 150
\n" ); document.write( "Cost = .02(7225) - 289 + 150
\n" ); document.write( "Cost = 144.5 - 289 + 150
\n" ); document.write( "Cost = $5.50 cost per unit at minimum cost
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\n" ); document.write( "How about this? Did we shed some light here? \n" ); document.write( "
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