Answer: 11.722
Explanation:
Two competing desktop publishing packages ; Macro publish and Turbo publish
If x and y copies of Macro publish and Turbo publish are purchased respectively ;
Daily Productitvity equals ;
U(x, y) = 6(x^0.9) (y^0.4) + x
where U(x, y) is measured in pages per day U is called a utility function
If x = y = 10
U(x, y) = 6(x^0.9) (y^0.4) + x
Therefore,
U(10,10) = 6(10^0.9) (10^0.4) + 10
U(10,10) = 119.716 + 10 = 129.716
The effect of increasing x by one unit results in
x = 11, y = 10
U(x, y) = 6(x^0.9) (y^0.4) + x
Therefore,
U(11,10) = 6(11^0.9) (10^0.4) + x
U(11,10) = 130.438 + 11 = 141.438
Productivity increase of approximately U(11,10) - U(10,10) = (141.438 - 129.716)
= 11.722 pages
