document.write( "Question 1183301: The amount of money that a local charity earns by selling T-shirts at a mall
\n" ); document.write( "depends on the price of each T-shirt. The monthly profit,y, in dollars is given by the quadratic equation y=-35x^2 + 1250x - 6500 where,x,represents the price of each T-shirt.
\n" ); document.write( "d) Under what circumstances will the charity maximize its profit (make the most money)?
\n" ); document.write( "e) Describe the significance of the roots in terms of the graph and in terms of the charity’s venture
\n" ); document.write( "f) Determine the range of prices that the charity could consider, in order to
\n" ); document.write( "make a monthly profit of at least $3000. Thanks for the help
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Algebra.Com's Answer #813543 by Boreal(15235)\"\" \"About 
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The maximum is where x=-b/2a=-1250/-70=$17.86 and will make $4660.71 in profit. That is the price at which profit is maximized.
\n" ); document.write( "The roots represent where the profit is 0 or breakeven.
\n" ); document.write( "Set y=3000 and solve for -35x^2+1250x-9500=0
\n" ); document.write( "or 35x^2-1250x+9500=0; 7x^2-250x+1900=0
\n" ); document.write( "x=(1/14)* (250+/- sqrt (9300))
\n" ); document.write( "=(1/14)(250+/- 96.44)
\n" ); document.write( "=$24.74 or $10.98
\n" ); document.write( "between ($10.98 and $24.74)\r
\n" ); document.write( "\n" ); document.write( "\"graph%28300%2C300%2C-10%2C30%2C-250%2C6000%2C3000%2C-35x%5E2%2B1250x-6500%29\"\r
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