Answer:
The solution is shown in the file attached below
Explanation:
Answer:
Since 0.33 + 0.75 = 1.08 is greater than one, this production function therefore exhibits increasing returns to scale.
Explanation:
From the question, we have the following restated equation:
![q=10L^{0.33} K^{0.75}](https://tex.z-dn.net/?f=q%3D10L%5E%7B0.33%7D%20K%5E%7B0.75%7D)
Where q is the output, and L and K are inputs
To determine the types of returns to scale, we increase each of L and K inputs by constant amount c as follows:
![q = 10(cL)^{0.33}(cK)^{0.75}](https://tex.z-dn.net/?f=q%20%3D%2010%28cL%29%5E%7B0.33%7D%28cK%29%5E%7B0.75%7D)
We can now solve as follows;
![q = 10c^{0.33+0.75} L^{0.33}K^{0.75}](https://tex.z-dn.net/?f=q%20%3D%2010c%5E%7B0.33%2B0.75%7D%20L%5E%7B0.33%7DK%5E%7B0.75%7D)
![q=c^{1.08} L^{0.33} K^{0.75}](https://tex.z-dn.net/?f=q%3Dc%5E%7B1.08%7D%20L%5E%7B0.33%7D%20K%5E%7B0.75%7D)
Since 0.33 + 0.75 = 1.08 is greater than one, this production function therefore exhibits increasing returns to scale.
Given:
<span>$500,000 beg. balance in retained earnings.
</span>$200,000 <span>net income for the year
</span>$1,000,000 <span>sales revenue
</span>$100,000 <span>dividends declared and paid by year-end
Retained earning is the amount left from net income after dividends have been paid. In the given data, sales revenue is not included in the Retained earnings report. It is reflected in the Income statement which generates the Net income.
Retained Earnings, beg. balance 500,000
Add: Net Income for the year <u> 200,000</u>
Total 700,000
Less: Dividends declared and paid this year <u> (100,000)</u>
Retained Earnings, end balance 600,000
</span>
Answer:
The average product of labor per day is 324
Explanation:
To find the average product of labor per day we need to know the total number of widgets produced divided by the worked days.
Average Product= total number of widgets /days
Monday, 10=250 widgets
Tuesday, 11=286 widgets
Wednesday, 13 =364 widgets
Thursday, 14 workers= 396 widgets
Friday, 12 workers=324 widgets
TOTAL WIDGETS= 250+286+364+396+324=1620
Days= 5 days
Average Product= 1620/5=324