document.write( "Question 146518: The total cost(in dollars) for a company to manufacture and sell x items per week is:C=0.6xsq-140x+6200
\n" ); document.write( "and the revenue (in dollars)by selling all x items is:
\n" ); document.write( " R=-0.4xsq+130
\n" ); document.write( "How many items must be sold to obtain a weekly profit of $10000?
\n" ); document.write( "Thank you
\n" ); document.write( "Nicole \n" ); document.write( "

Algebra.Com's Answer #106932 by checkley77(12844) $\"\"$ $\"About$

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C=0.6xsq-140x+6200
\n" ); document.write( "R=-0.4xsq+130
\n" ); document.write( "profit=revenue-cost.
\n" ); document.write( "10,000=-.4x^2+130-(0.6x^2-140x+6,200)
\n" ); document.write( "10,000=-.4x^2+130-.6x^2+140x-6,200
\n" ); document.write( "x^2-140x+10,000-6,200-130=0
\n" ); document.write( "x^2-140x+3,670=0
\n" ); document.write( "using the quadratic equation we get: $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( "x=(140+-sqrt[-140^2-4*1*3,670/2*1
\n" ); document.write( "x=(140+-sqrt[19,600-14,680)/2
\n" ); document.write( "x=(140+-sqrt[4,920]/2
\n" ); document.write( "x=(140+-70.14)/2
\n" ); document.write( "x=(140+70.14)/2
\n" ); document.write( "x=210.14/2
\n" ); document.write( "x=105.07 answer.
\n" ); document.write( "x=(140-70.14)/2
\n" ); document.write( "x=69.86/2
\n" ); document.write( "x=34.9 answer.
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