document.write( "Question 211214: A factory produces skateboards. The cost of producing x hundreds of units a day can be approximated by the formula C = 0.89x^2 - 9.32x + 3677. Find the daily production level that will minimize the cost. \n" ); document.write( "

Algebra.Com's Answer #159602 by Earlsdon(6294) $\"\"$ $\"About$

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The cost (C) of producing x-hundreds of skateboards a day is given by:
\n" ); document.write( " $\"C+=+0.89x%5E2-9.32x%2B3677\"$
\n" ); document.write( "The minimum point of this equation (a parabola) occurs at the vertex of the parabola. The x-coordinate of the vertex of this parabola is given by:
\n" ); document.write( " $\"x+=+%28-b%29%2F2a\"$ where a = 0.89, and b = -9.32, so...
\n" ); document.write( " $\"x+=+%28-%28-9.32%29%29%2F2%280.89%29\"$ Evaluate.
\n" ); document.write( " $\"x+=+5.24\"$ Rounded to the nearest hundreth.
\n" ); document.write( "Since x is in hundreds of skateboards, multiply this by 100 to get:
\n" ); document.write( "A daily production level of 524 skate boards daily will minimize the cost. \n" ); document.write( "

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