document.write( "Question 257360: #1)Research for a given orchard has shown that, if 100 pear trees are planted,then the annual revenue is $90 per tree. If more trees are planted they have less room to grow and generate fewer pears per tree. As a result, the annual revenue per tree is by $0.70 for each additional tree planted. No matter how many trees are planted, the cost of maintaining each tree is $7.40 per year. How many pear trees should be planted to maximize the profit from the Orchard for 1 year?\r
\n" ); document.write( "\n" ); document.write( "#2) The sum of two numbe is 30 and their product is a maximum. Find the two numbers. \n" ); document.write( "
Algebra.Com's Answer #189305 by ankor@dixie-net.com(22740)\"\" \"About 
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#1)Research for a given orchard has shown that, if 100 pear trees are planted,then the annual revenue is $90 per tree.
\n" ); document.write( "If more trees are planted they have less room to grow and generate fewer pears per tree.
\n" ); document.write( " As a result, the annual revenue per tree is reduced by $0.70 for each additional tree planted.
\n" ); document.write( " No matter how many trees are planted, the cost of maintaining each tree is $7.40 per year.
\n" ); document.write( "How many pear trees should be planted to maximize the profit from the Orchard for 1 year?
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\n" ); document.write( "Let x = number of trees added, also the number of 70 cent reductions
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\n" ); document.write( "Profit = (100 + x)*(90 - .70x) - 7.40(100 + x)
\n" ); document.write( "FOIL
\n" ); document.write( "P = 9000 - 70x + 90x - .70x^2 - 740 - 7.4x
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\n" ); document.write( "P = 9000 + 20x - .70x^2 - 740 - 7.4x
\n" ); document.write( "Combine like terms
\n" ); document.write( "p = -.70x^2 + 20x - 7.4x + 9000 - 740
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\n" ); document.write( "p = -.70x^2 + 12.6x + 8260
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\n" ); document.write( "Find the axis of symmetry
\n" ); document.write( "x = \"%28-b%29%2F%282a%29\"; where: a=-.7, b=12.6
\n" ); document.write( "x = \"%28-12.6%29%2F%282%2A-.7%29\"
\n" ); document.write( "x = \"%28-12.6%29%2F%28-1.4%29\"
\n" ); document.write( "x = +9 trees to be added
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\n" ); document.write( "Max profit when 109 trees are planted $8,316.70
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\n" ); document.write( "#2) The sum of two numbers is 30 and their product is a maximum. Find the two numbers.
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\n" ); document.write( "that would be 15 + 15, 15^2 = 225
\n" ); document.write( "think of it like this; the max area (product of Length and width) is a square \n" ); document.write( "
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