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:
Value of the bond = $862.013
Explanation:
The value of the bond is the present value of the future cash receipts expected from the bond. The value is equal to present values of interest payment and the redemption value (RV).
Value of Bond = PV of interest + PV of RV
The value of the bond can be worked out as follows:
Step 1
<em>Calculate the PV of Interest payment
</em>
Present value of the interest payment
PV = Interest payment × (1- (1+r)^(-n))/r
Interest payment = $40
PV = 40 × (1 - (1.05)^(-12×2)/0.05)
= 40 × 13.7986
= 551.945
Step 2
<em>PV of redemption Value
</em>
PV of RV = RV × (1+r)^(-n)
= 1000 × (1.05)^(-12×2)
= 310.067
Step 3
<em>Calculate Value of the bond </em>
= 551.94567 + 310.067
=862.01
Value of the bond = $862.013
Answer:D
Explanation:
Inviting customers to write product review and recommendations
Answer:
indirect loss, cannot be
Explanation:
Indirect losses refers to a type of loss that incurred outside of circumstances that usually occur in normal operation. (such as loss because the government created a certain type of law or loss because people are conducting strikes on other areas of our business)
Insurance companies can't cover Indirect losses because these costs tend to be really unpredictable and extremely hard to be measured . They will specify that they wouldn't cover these types of loss during the initial cotnract.
Answer:
$42.5 billion
Explanation:
the expected value formula = ∑ (valueₙ x probabilityₙ)
expected value = (low value x probability of low value) + (most likely value x probability of most likely value) + (high value x probability of high value)
= ($5 billion x 20%) + ($45 billion x 70%) + ($100 billion x 10%) = $1 billion + $31.5 billion + $10 billion = $42.5 billion