Respuesta :
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
When from the same or minimum amount of inputs the number of outputs is more than it is said to be increased productivity.
The productivity increase will be 11.722
This can be estimated as:
- If x and y copies of Macro and Turbo publish are purchased respectively then, Daily Productivity:
[tex]\text{U(x, y)} = 6(x^{0.9}) (y^{0.4}) + \text{x}[/tex]
Where, U(x, y) is calculated in pages per day and U is a utility function.
If x = y = 10
[tex]\text{U(x, y)} = 6(x^{0.9}) (y^{0.4}) + \text{x}[/tex]
[tex]\text{U(10,10)} = 6(10^{0.9}) (10^{0.4}) + 10[/tex]
[tex]U(10,10) = 119.716 + 10 = 129.716[/tex]
- The effect of increasing x by one unit will be shown as:
x = 11, y = 10
[tex]\text{U(x, y)} = 6(x^{0.9}) (y^{0.4}) + \text{x}[/tex]
[tex]\text{U(11,10)} = 6(11^{0.9}) (10^{0.4}) + \text{x}[/tex]
[tex]\text{U}(11,10) = 130.438 + 11 = 141.438[/tex]
- Productivity increase :
[tex]\text{U}(11,10) - \text{U}(10,10) = (141.438 - 129.716) = 11.722 \; \text{pages}[/tex]
Therefore, the productivity increase will be 11.722 pages.
To learn more about productivity increase follow the link:
https://brainly.com/question/11235074
