Part a) The Cob Douglas production function is given as:
To show that this function is homogeneous with degree 3, we introduce be a parameter, t.
Using properties of exponents, we on tinder:
This implies that:
Simplify the exponent of t to get;
Hence the function is homogeneous with degree, 3
Part b) To verify Euler's Theorem, we must show that:
Verifying from the left:
Q•E•D
This attitude is called cash register honesty.
The book store worker knows very well that ball point pens, post-its, copies on the copier machine and long-distance phone calls are office resources and should, in principle, be used only for office purposes.
He is also aware that the he is responsible for his own needs - be it post-its or long-distance phone calls.
By taking some small supplies home or using the office equipment for personal use (e.g. making personal copies or making personal long-distance phone calls), he increases the cost to the company.
Yet, he continues to indulge in the activities described in the question, because he believes, at a personal level, that he can get away with it . (It's okay with him at a personal level.)
However, since stealing from the cash register is not ok with him on a personal level, he doesn't do it even though he knows he can get away with it. This attitude is called cash register honesty.
The statement above is popularly referred to as Whorfian hypothesis. The hypothesis states that language directly affects the way people think about the world and the way they perceive it, thus it holds the idea that one's language determines one's conception of the world.
Answer:
Option 3: $12 down with equal payments of $5 for 12 months
Explanation:
In option 1 :
The cost is $ 88,
In option 2 :
Down payment = $ 5,
Weekly payment = $ 8,
Number of weeks = 10,
So, the total cost = 5 + 8 × 10 = 5 + 80 = $ 85,
In option 3 :
Down payment = $ 12,
Monthly payment = $ 5,
Number of months = 12,
So, the total cost = 12 + 5 × 12 = 12 + 60 = $ 72,
In option 4 :
Down payment = $ 20,
Monthly payment = $ 20,
Number of months = 12,
So, the total cost = 12 + 20 × 12 = 12 + 240= $ 252
∵ 72 < 85 < 88 < 252
Hence, option 3 is better.
