A financial institution formed by a large organization for its members is a credit union.

The cob Douglas production function is given by Q(K,L)=AK^1.4*L^1.6

Alexeev081 [22]

Part a) The Cob Douglas production function is given as:

$Q(K,L)=AK^{1.4} L^ {1.6 } .$

To show that this function is homogeneous with degree 3, we introduce be a parameter, t.

$Q(tK,tL)=A(tK)^{1.4} (tL)^ {1.6 } .$

Using properties of exponents, we on tinder:

$Q(tK,tL)=At^{1.4}K^{1.4} t^ {1.6 }L^ {1.6 } .$

This implies that:

$Q(tK,tL)=t^{1.4} \times t^ {1.6 }(AK^{1.4} L^ {1.6 } )$

$Q(tK,tL)=t^{1.4 + 1.6}(AK^{1.4} L^ {1.6 } )$

Simplify the exponent of t to get;

$Q(tK,tL)=t^{3}(AK^{1.4} L^ {1.6 } )$

Hence the function is homogeneous with degree, 3

Part b) To verify Euler's Theorem, we must show that:

$K\frac{\partial Q}{\partial \: K}+L\frac{\partial Q}{\partial \: L}=3AK^{1.4}L^{1.6}$

Verifying from the left:

$K\frac{\partial Q}{\partial \: K}+L\frac{\partial Q}{\partial \: L} =K(1.4AK^{0.4} L^{1.6}) + L(1.6AK^{1.4} L^{0.6})$

$K\frac{\partial Q}{\partial \: K}+L\frac{\partial Q}{\partial \: L} =1.4(AK^{1.4} L^{1.6}) + 1.6(AK^{1.4} L^{1.6})$

$K\frac{\partial Q}{\partial \: K}+L\frac{\partial Q}{\partial \: L} =(1.4 + 1.6)(AK^{1.4} L^{1.6})$

$K\frac{\partial Q}{\partial \: K}+L\frac{\partial Q}{\partial \: L} =3(AK^{1.4} L^{1.6})$

Q•E•D

8 0

2 years ago

Based on the spreadsheet below, what is the net cash flow? A 2-column spreadsheet showing Cash Inflows and Cash Outflows. Total

Vadim26 [7]

The net cash flow is <u>A. $290.</u>

The net cash flow is the difference between the cash inflows and the cash outflows. It can be positive or negative. When the cash inflows are greater than the cash outflows, the net cash flow is positive. The opposite is the case when the cash outflows exceed the cash inflows.

<h3>Data and Calculations:</h3>

Total Cash Inflows = $2,040
Total Cash outflows = $1,750
Net cash flows = $290 ($2,040 - $1,750)

Thus, the net cash flow based on the spreadsheet is <u>A. $290.</u>

Learn more about the net cash flow here: brainly.com/question/4326360

6 0

2 years ago

If Sara just reconciled her checking account, what did she do?

hoa [83]

"In accounting, reconcile means to compare two sets of records to make sure they are in agreement"

She compared two sets of records for example checking and finance to make sure it's in agreement

3 0

3 years ago

As of 2011, about how large was the world's human population, and about how long will it take to add another billion

Vaselesa [24]

As of 2011, the world's population has reached 7 billion. The annual population growth rate is 1.2%, thereby there would be an additional 1 billion population growth at approximately 11 years or by 2021 the population would be 8 billion.

5 0

2 years ago

Read 2 more answers

Gammy Corporation provides services with a normal price of $800,000 and a trade discount of $100,000. Terms are 2/10, n/30 and t

oee [108]

Answer:

$686,000

Explanation:

net service revenue = gross revenue - discount for early payment

gross revenue = total sales price - trade discount

gross revenue = $800,000 - $100,000 = $700,000

net service revenue = $700,000 - 2%($700,000) = $700,000 - $14,000 = $686,000

4 0

2 years ago