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
Answer:
e) $37.05
Explanation:
Using the dividend growth model, the value of a stock is the present value of the future dividends receivable discounted at the required rate of return . The required rate of return is given as 12%.
So we discount the year 3 dividend using the dividend growth model formula
P = D (1+g)/r-g
r- rate of return, g = growth rate
Present value of the future dividends:
PV of Year 1 = 1.55(1.015)m × 1.12^(-1)
= 1.4047
PV of Year 2 = 1.55 (1.015)(1.015) × 1.12^(-2)
= 1.27
PV of Year 3 (this will be done in two steps)
Step 1; PV (in yr 2) of year 3 dividend
= (1.55)(1.015)^2×(1.08)/(0.12-0.08)
=43.114
Step 2 : PV (in yr 2) of year 3 dividend
=43.114 × (1.12^(-2))
= 34.37
Best estimate of stock = 1.40 + 1.27 +34.37
= $37.05
Note
To discount the year 3 dividend, we use two steps. The first stp helps get the PV in year 2, and step 3 helps to take it further to the PV in year 0
Answer:
"E "
Explanation:
Just in time inventory is an inventory management system where inventory required for production are ordered at the point of production.
This practice helps to maximize profit as investment on inventory carriage and storage are minimized , aiding an improved working capital management.
It is of importance that machine break down is avoided and there is a reliability of man power in order to avoid operation down time when there is a demand.
Also , there must be a solid arrangement with supplier for it to be effective.
Answer:
Please find the detailed answer as follows:
Explanation:
After reviewing Digby's current strategy, top five sources of competitive advantage for digby are as follows:
- Increase demand through TQM initiatives
.
- Offer attractive credit terms
.
- Seek excellent product designs, high awareness, and high accessibility
.
- Seek high plant utilization, even if it risks occasional small stockouts
.
- Reduce cost of goods through TQM initiative.
Related concepts to understand the problem.
Competitive advantage. A competitive advantage is an improvement over competitors gained by contribuiting consumers greater value.
Answer:
d. 5.08%
Explanation:
We have to first calculate the YTM of the bond, and then apply the tax shield.
To get the YTM we have to calculate the rate of return of an annuity of 46.25 for 20 years compounding semiannually at IRR rate and the present value of the face value redeem in 20 years.


IRR = 0.084656891 (it should be done using financial calculator or excel or a similar software program)
then we apply the shield tax to the IRR:
IRR x (1 - tax-rate) = Cost of debt
0.084656891 * ( 1 - 0.4) = 5.0794= 5.08