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October 24, 2014

October 24, 2014

Posted by **Maria** on Sunday, November 13, 2011 at 10:23pm.

- Calculus--Please Help! -
**Navjot**, Sunday, November 13, 2011 at 11:44pm6seconds

- Calculus--Please Help! -
**htoo**, Monday, November 14, 2011 at 1:09amRice production requires both labor and capital investments in equipment and land. Suppose that if x dollars per acre aer invested in labor and y dollars per acre are investd in equpiment and land, then the yield P of rice per acre is given by the formula P = 100 times the square root of x + a50 times the square root of y. If a farmer invests $40/acre, how hould he divide the $40 between labor and capital investment in order to maximize the amount produced?

- Calculus--Please Help! -
**Steve**, Monday, November 14, 2011 at 9:15pmLet h be the height of the ladder against the wall. Let x be the distance of the base of the ladder from the wall.

At the time specified, you have a good old 5-12-13 triangle.

x^2 + h^2 = 13^2

2x dx + 2h dh = 0

2(12)(2) + 2(5)dh = 0

dh/dt = -24/5 = -4.8

a = 1/2 xh

da = 1/2 (x dh + h dx)

da = 1/2 (-12*4.8 + 5*2) = -23.8 ft^2/sec

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