Answer:
(a) E(X) = 3
(b) Var(X) = 12.1067
Explanation:
(a) E[X]
E[X]T = E[X]T=A + E[X]T=B + E[X]T=C
= (2.6 + 3 + 3.4)/3
= 2.6 (1/3) + 3(1/3) + 3.4(1/3)
= 2.6/3 + 1 + 3.4/3
= 3
(b) Var (X) = E[X²]−(E[X])²
Recall that if Y ∼ Pois(λ), then E[Y 2] = λ+λ2. This implies that
E[X²] = [(2.6 + 2.6²) + (3 + 3²) + (3.4 + 3.4²)]/3
= (9.36 + 12 + 14.96)/3
= 36.32/3
= 12.1067
Var(X) = E[X²]−(E[X])²
= 12 - 3²
= 12.1067 - 9
= 3.1067
Answer: $12717
Explanation:
1. The amount of FICA and/or self-employment tax that Dave is required to pay on his compensation and his
share of the KBS income if KBS is formed as a C corporation, will be:
= 7.65% × $75000
= 7.65/100 × $75000
= 0.0765 × $75000
= $5738
2. As an S Corporation will be:
= 7.65% × $75000
= 7.65/100 × $75000
= 0.0765 × $75000
= $5738
3. As a limited liability company will be:
Dave's compensation = 75,000
Dave's portion of income will be calculated as:
= 50% × $30,000
= 0.5 × $30,000
= $15,000
Total will then be:
= $75000 + $15000 = $90000
We then calculate the net earnings which will be:
= 92.35% × $90000
= 0.9235 × $90000
= $83115
The FICA and/or self-employment tax that Dave is required to pay will then be:
= 15.3% × $83115
= 0.153 × $83115
= $12717
Answer:
b. She should develop herself as the EMV of developing is $1.125 million, which is higher than the EMV of selling.
Explanation:
The probability of discovered oil = 0.25 (25%)
Selling the exploration right= Selling Price + Probability of discovered oil × Royalty% × Future Profit
= $200,000 + 0.25 × 0.25 × $7,500,000 = $668,750
Developing = Probability of finding the oil × Future Profits - Cost of Well
= 0.25 × $7,500,000 - $750,000 = $1,125,000
= $1.125 million
Therefore the EMV for selling the exploration rights is less than the developing, the landowner will develop the site by his own.
Answer: The price elasticity of demand for good A is 0.67, and an increase in price will result in a increase in total revenue for good A
Explanation:
The following can be deduced form the question:
P1 = $50
P2 = $70
Q1 = 500 units
Q2 = 400 units
Percentage change in quantity = [Q2 - Q1 / (Q2 + Q1) ÷ 2 ] × 100
Percentage change in price = [P2 - P1 / (P2 + P1) ÷ 2 ] × 100
% change in quantity = (400 - 500)/(400 + 500)/2 × 100
= -100/450 × 100
= -22.22%
% change on price = (70 - 50)/(70 + 50)/2 × 100
= 20/60 × 100
= 33
Price elasticity of demand = % change in quantity / % change on price
= -22.22 / 33
= -0.67
This means that a 1% change in price will lead to a 0.67% change in quantity demanded. As there was a price change, there'll be a little change in quantity demanded because demand is inelastic. Thereby, he increase in price will lead to an increase in the total revenue.
Therefore, the price elasticity of demand for good A is 0.67, and an increase in price will result in an increase in total revenue for good A
Answer: b. Dow Jones Industrial Average
Explanation: The Dow Jones Industrial Average index futures has a multiplier of $10 times the index value which is used to calculate contract settlements and helps determine the dollar value of each point of price movement. For example, Dow multiplier is 10, meaning each Dow point is worth $10 per contract.
