Find two lines of regressions from the following Data: Age of husband : 25 22 28 26 35 20 22 40 20 18 & Age of wife: 18 15 20 17 22 14 16 21 15 14 Estimate the following. the coefficient of correlation

a. The demand for good x is given by x∗ = 60−4Px +2M +Py, where Px is the price of good x, Py is the price of good y, and M is income. Find the own-price elasticity of demand for good x when Px =20,Py =20, and M =100. Is x an ordinary or giffen good? Explain.

b. The demand for good x is given by x∗ = 60−4Px +2M +Py, where Px is the price of good x, Py is the price of good y, and M is income. Find the cross-price elasticity of demand for good x when Px = 20, Py = 20, and M = 100. Are x and y complements or substitutes? Explain.

A: A trader creates a bull call spread by buying an option for $12.00 at the $100 strike price and selling an option at $5.00 at the $120 strike price.   What is the net payoff per share (enter 4.00, not 400, for one spread - the gross payoff of the spread minus the cost of the spread) when the stock price in six months is $99?

B: A trader creates a bull call spread by buying an option for $12.00 at the $100 strike price and selling an option at $5.00 at the $120 strike price.    What is the net payoff per share (enter 4.00, not 400, for one spread - the gross payoff of the spread minus the cost of the spread) when the stock price in six months is $122?

PEP uses a cost-plus model to determine the price it charges students. Specifically, the Company charges cost plus 20% of cost. Fixed costs, including facility rental and instructor compensation, amount to $6,500 per month. PEP incurs variable costs for books and supplies that amount to $55 per student. Monthly, enrollment tends to fluctuate. The following data represent the Company's expectations for the first three months of the current year.

Based on this information which of the following amounts represents the average price PEP should charge per student for the month of January.

• $250.00

• $300.00

• $271.67

• $326.00 Please provide step by step solutions and formulas

1. You are thinking of investing £2000. You have found the following investment deals which seem good

The first one pays 4.50% annual interest compounded annually.

The second one pays 4.48% annual interest but compounded quarterly

The third one pays 4.45% annual interest but compounded monthly

1. Which one would be in your benefit to choose? How much money will you have after 3 years? (9 points)

2. Considering the above, explain how using both nominal and effective interest rates make financial decisions easier. (5 points, no more than 100 words)

2. Your company needs a new machine. Two companies are selling this machine in the market, their conditions are as below

Company A: The purchase of the new machine at a cost of £15,000. The purchase price includes maintenance for the first two years, but after that maintenance will cost £1,050 a year (payable at the end of each year).

The machine will have a useful life of five years, after which time it is estimated that it will have a scrap value of £4,000.

The expected income from the machine will be £1,500 at the end of the first year, £2,500 end of the second year, £3,500 end of the third year, £4,500 at the end of the fourth year, and £5,500 at the end of the fifth year.

Company B: The purchase of the new machine at a cost of £10,000. The purchase price includes maintenance for the first year, but after that maintenance will cost £1,000 a year (payable at the beginning of each year).

The machine will have a useful life of five years, after which time it is estimated that it will have a scrap value of £1,500.

The expected income from the machine will be £1000 at the end of the first year, £3000 each year at the end of the second, third and fourth years, and £5000 at the end of the fifth year

Assuming the discount rate is 4%, write a brief report advising the company on which contract will be more profitable and so whether it should accepted. Remember to take all costs and cash availability into consideration. Show any calculations you make in support of your recommendation. (14 points, no more than 500 words)

3. How confident are you about your advice and under what circumstances might it change? (5 points, no more than 100 words)

1.You operate in an Imperfectly Competitive market where demand for you product is given by: P= 100 - 0.05Q. What Price output combination would maximize your profit? What would happen to your answer in #1 if entry made consumers more senstitive to your price and your demand changed to: P = 100 - 0.1Q?

Stephanie has a master's degree, is married to a professional man, has 1 child, and lives in the suburbs where she is active in community affairs. Time is so precious she hardly has enough time to accomplish all she sets out to do. She likes to wait and purchase products after carefully reading the reviews of the first customers who buy.

Group of answer choices

early adopter

innovator

early majority

late majority

laggard

Barbara is on Social Security with her husband. Her children and grandchildren seldom visit but they call her regularly. She makes crafts and donates them to a nearby hospital to help raise money for families who can't pay their medical expenses. She avoids change and buys traditional products that she has known and trusts.

Group of answer choices

laggard

innovator

early adopter

early majority

late majority

Merrimac Manufacturing has always purchased a certain component part from a supplier on the East Coast for $40 per part. The supplier is reliable and has maintained the same price structure for years. Recent improvements in operations and reduced product demand have cleared up some capacity in Merrimac’s own plant for producing component parts. The particular part in question can be produced internally by Merrimac at $25 per part, with an annual fixed investment of $30,000.

a) Over what range (quantity) of product would each of the two options be the preferred one?

b) As an alternative, a new supplier located nearby is offering to produce parts on the following cost schedule. For the first 100 parts, the cost is $52 per part. For each part in excess of 100, the cost per unit drops to $35 per part. Considering just the two suppliers, over what range (quantity) of product would each supplier be the preferred one?

you owe your best friend $2000. because you are short on cash, you offer to repay the loan over 12 months under the following condition. the first payment will be $100 at the end of month one. the second payment will be $100+G at the end of month two. at the end of month three, you'll repay $100+2G. this pattern of increasing G amounts will continue for all remaining months.
a. what is the value of G if the interest rate is 0.5 per month?
b. what is the equivalent uniform monthly payment?
c. repeat part (a) when the first payment is $150 (i.e., determine G)