document.write( "Question 1168586: The cost, C, in dollars, to hire landscapers to weed and seed a local park can be modelled by C equals 9 x squared minus 72 x plus 1050, where x is the number of landscapers hired to do the work. How many landscapers should be hired to minimize the cost? What is the minimum cost? \n" ); document.write( "

Algebra.Com's Answer #793166 by htmentor(1343) $\"\"$ $\"About$

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The cost will be minimized where the derivative of the cost function is zero.
\n" ); document.write( "C(x) = 9x^2 - 72x + 1050
\n" ); document.write( "dC/dx = 0 = 18x - 72 -> x = 4
\n" ); document.write( "C(4) = 9*16 - 72*4 + 1050 = 906
\n" ); document.write( "Thus the minimum cost is $906. \n" ); document.write( "

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