Posted by Maria on Sunday, November 13, 2011 at 10:23pm.
6seconds
6seconds
Rice 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?
Let 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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