The present value of the bond payable is $120,130.
<h3>What is the present value?</h3>
The present value of the bond is the sum of the the bonds discounted cash flows.
Present value can be calculated using a financial calculator:
- Cash flow each year from period 1 to 10 : 11% x 100,000 = 11,000
- Cash flow in period 20 : 100,000
- Interest rate = 8%
Present value = $120,130.24
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The waiting time at which 10 percent of the people would continue to hold is given as 2.3
<h3>How to solve for the waiting time</h3>
We have to solve for X ~ Exponential(λ).
then E(X) = 1/λ = 3,
= 0.3333
Remember that the cumulative distribution function of X is F(x) = 1 - e^(-λx). ; x is equal to the time in over case
For 10 percent of the people we would have a probability of
10/100 = 0.1
we are to find
P(X ≤ t)
= 1 - e^(0.3333)(t) = 0.1
Our concern is the value of t
Then we take the like terms
1-0.1 = e^(0.3333)(t)
1/0.9 = e^(0.3333)(t)
t = 3 * ln(1/0.9)
= 0.3157
Assuming the marginal propensity to consume (MPC) for a nation is 0.67. The tax multiplier for this nation is: 2.03.
<h3>Tax multiplier</h3>
Using this formula
Tax multiplier=-MPC/1-MPC
Where:
Marginal propensity to consume (MPC)=0.67
Let plug in the formula
Tax multiplier=0.67/1-0.67
Tax multiplier=0.67/0.33
Tax muitiplier=2.03
Inconclusion the tax multiplier for this nation is: 2.03.
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992 candy bars must be sold to maximize revenue.
<h3>
What is revenue?</h3>
- The total amount of income generated by the sale of goods and services related to the primary operations of the business is referred to as revenue in accounting.
- Commercial revenue is also known as sales or turnover.
- Some businesses make money by charging interest, royalties, or other fees.
To find how many candy bars must be sold to maximize revenue:
The price of a candy bar is determined by the quantity sold:
- p(x) = 124 - (x/16) where x is in 1000s.
If the candy bar's price is p(x), the revenue function is:
- R(x) = p(x) · x = 124 · x - x²/16
Find the solution of R'(x) = 0 to maximize R(x):
- R'(x) = 124 - x/8
- 124 - x/8 = 0
- x = 992
Therefore, 992 candy bars must be sold to maximize revenue.
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The correct question is given below:
If the price of a candy bar is p(x) cents then x thousand candy bars are sold. The price p(x) = 124-(x/16). How many candy bars must be sold to maximize revenue?
