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April 18, 2015

April 18, 2015

Posted by **Valerie** on Sunday, December 12, 2010 at 8:33pm.

- AP Calculus AB -
**Maggie**, Thursday, January 2, 2014 at 5:09pm1. assign x and y values to the length and width of each box within the pens, and use the formula

600=9x+8y to isolate the y value

(i got the 8 and 9 by counting the number of length and width values existed in the diagram)

you should get y=(600-9x)/8

2. then, since they asked for the maximum area have

f(x)=x((600-9x)/8)

and simplify such that f(x)=75x-(9/8)x^2

3. find the derivative of the function and set it equal to 0

f(x)=75-(18/8)x or 75-(9/4)x

x=100/3

4. then plug the x value into y=(600-9x)/8 to get

y=75/2

5. finally count up the number of x and y values found on on the total length and width (3 for x, 2 for y)

and multiply the numbers by that value

conveniently (75/2)*2=75

and (100/3)*3=100

hope that helps, and i hope that wasn't too late :)

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