Part a) The Cob Douglas production function is given as:
![Q(K,L)=AK^{1.4} L^ {1.6 } .](https://tex.z-dn.net/?f=Q%28K%2CL%29%3DAK%5E%7B1.4%7D%20L%5E%20%7B1.6%20%7D%20.)
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 } .](https://tex.z-dn.net/?f=Q%28tK%2CtL%29%3DA%28tK%29%5E%7B1.4%7D%20%28tL%29%5E%20%7B1.6%20%7D%20.)
Using properties of exponents, we on tinder:
![Q(tK,tL)=At^{1.4}K^{1.4} t^ {1.6 }L^ {1.6 } .](https://tex.z-dn.net/?f=Q%28tK%2CtL%29%3DAt%5E%7B1.4%7DK%5E%7B1.4%7D%20t%5E%20%7B1.6%20%7DL%5E%20%7B1.6%20%7D%20.)
This implies that:
![Q(tK,tL)=t^{1.4} \times t^ {1.6 }(AK^{1.4} L^ {1.6 } )](https://tex.z-dn.net/?f=Q%28tK%2CtL%29%3Dt%5E%7B1.4%7D%20%5Ctimes%20t%5E%20%7B1.6%20%7D%28AK%5E%7B1.4%7D%20L%5E%20%7B1.6%20%7D%20%29)
![Q(tK,tL)=t^{1.4 + 1.6}(AK^{1.4} L^ {1.6 } )](https://tex.z-dn.net/?f=Q%28tK%2CtL%29%3Dt%5E%7B1.4%20%2B%201.6%7D%28AK%5E%7B1.4%7D%20L%5E%20%7B1.6%20%7D%20%29)
Simplify the exponent of t to get;
![Q(tK,tL)=t^{3}(AK^{1.4} L^ {1.6 } )](https://tex.z-dn.net/?f=Q%28tK%2CtL%29%3Dt%5E%7B3%7D%28AK%5E%7B1.4%7D%20L%5E%20%7B1.6%20%7D%20%29)
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}](https://tex.z-dn.net/?f=K%5Cfrac%7B%5Cpartial%20Q%7D%7B%5Cpartial%20%5C%3A%20K%7D%2BL%5Cfrac%7B%5Cpartial%20Q%7D%7B%5Cpartial%20%5C%3A%20L%7D%3D3AK%5E%7B1.4%7DL%5E%7B1.6%7D)
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})](https://tex.z-dn.net/?f=K%5Cfrac%7B%5Cpartial%20Q%7D%7B%5Cpartial%20%5C%3A%20K%7D%2BL%5Cfrac%7B%5Cpartial%20Q%7D%7B%5Cpartial%20%5C%3A%20L%7D%20%3DK%281.4AK%5E%7B0.4%7D%20L%5E%7B1.6%7D%29%20%2B%20L%281.6AK%5E%7B1.4%7D%20L%5E%7B0.6%7D%29)
![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})](https://tex.z-dn.net/?f=K%5Cfrac%7B%5Cpartial%20Q%7D%7B%5Cpartial%20%5C%3A%20K%7D%2BL%5Cfrac%7B%5Cpartial%20Q%7D%7B%5Cpartial%20%5C%3A%20L%7D%20%3D1.4%28AK%5E%7B1.4%7D%20L%5E%7B1.6%7D%29%20%2B%201.6%28AK%5E%7B1.4%7D%20L%5E%7B1.6%7D%29)
![K\frac{\partial Q}{\partial \: K}+L\frac{\partial Q}{\partial \: L} =(1.4 + 1.6)(AK^{1.4} L^{1.6})](https://tex.z-dn.net/?f=K%5Cfrac%7B%5Cpartial%20Q%7D%7B%5Cpartial%20%5C%3A%20K%7D%2BL%5Cfrac%7B%5Cpartial%20Q%7D%7B%5Cpartial%20%5C%3A%20L%7D%20%3D%281.4%20%2B%20%201.6%29%28AK%5E%7B1.4%7D%20L%5E%7B1.6%7D%29)
![K\frac{\partial Q}{\partial \: K}+L\frac{\partial Q}{\partial \: L} =3(AK^{1.4} L^{1.6})](https://tex.z-dn.net/?f=K%5Cfrac%7B%5Cpartial%20Q%7D%7B%5Cpartial%20%5C%3A%20K%7D%2BL%5Cfrac%7B%5Cpartial%20Q%7D%7B%5Cpartial%20%5C%3A%20L%7D%20%3D3%28AK%5E%7B1.4%7D%20L%5E%7B1.6%7D%29)
Q•E•D
Answer:
b-the costs incurred to process the units to this point
Explanation:
Since in the question it is given that the company want to decide whether to sell partially completed goods or should incurred extra cost in order to finished the goods and sells them as a completed unit
So there should be the decision regarding selling price for the units that are completed, the selling price for the units that are partially completed and the cost i.e to be incurred for finishing the units
A petty cash fund is used for small payments in order to avoid the time and cost of writing checks for small amounts.
<h3>What is petty cash?</h3>
A petty cash fund is a small amount of cash, used to pay for minor expenses, such as office supplies or employee reimbursements.
It is the pet a actual ledger book, rather than a computer record.
Hence, a petty cash fund is used for small payments in order to avoid the time and cost of writing checks for small amounts.
Learn more about petty cash here : brainly.com/question/6893535
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Answer:
The correct answer is option B.
Explanation:
Profit maximization refers to the situation when a firm is able to maximize the total profit that it could earn through the production of goods and services.
The total profit is maximized when the marginal profit is zero or when the marginal revenue is equal to marginal cost. The marginal profit is the difference between marginal revenue and marginal cost.
If the marginal revenue is greater than the marginal cost the firm should increase production till both are equal.
In case, marginal revenue is less than the marginal cost the firm should stop producing more and reduce production till both are equal.
Answer:
A stakeholder is any person or organization that has a legitimate interest in a specific project or policy decision. As an economist, whenever you are required to discuss the costs and benefits.