Answer:
1.011
Explanation:
The two differentiation for the two parameters such as units of labor and units of capital can be represented as shown below:
If z (production) = f(x,y) = x^0.75y^0.25
Where: x represents the units of labor and y represents the units of capital.
Thus, using differential, the change in production will be:
= 0.75x^(0.75-1)y^0.25 + 0.25(x^0.75)y^(0.25-1) = 0.75x^(-0.25)y^0.25 + 0.25x^0.75y^(-0.75)
x = 25+1 = 26; y = 19
dz = 0.75*26^(-0.25)*(19^0.25) + 0.25*26^0.75*(19^(-0.75)) = 0.75*0.443*2.09 + 0.25*11.51*0.11 = 0.694+0.317 = 1.011