Homework Answers
a) f( x , y ) = 2xy
fx = df/dx = differentiating with respect to x
= d(2xy )/dx
= 2y
b )
f( x , y ) = 2xy
fy = df/dx = differentiating with respect to y
= d(2xy )/dy
= 2x
c ) fx/fy = px/py
putting values from question
2Y /2X = 5/2
Y/X = 5/2
Y = 5X/2
Y = 2.5X
D ) 4 points that will satisfy the equation f(x, y) = 80
2xy = 80
| X | Y | F(x,y) = 2xy = 80 |
| 40 | 1 | 2*40 *1 = 80 |
| 1 | 40 |
2*40*1 = 80 |
| 5 | 8 | 2*5*8 = 80 |
| 10 | 4 |
2*10 *4 = 80 |
( done first 4 parts as per policy )
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