1. The marginal utility of good A is 4 utils, and its price is $2. The marginal utility of good B is 6 utils, and its price is $1.

Define Marginal Utility (MU) and show all your calculations using the appropriate formula.

(A) Is the individual consumer maximizing (total) utility if she spends a total of $3 by buying one unit of each good?

(B) If not, how can more utility be obtained?

2. After each toss of the coin, one person has more money and one person has less. If the person with less money cares about relative rank and status, will he be willing to pay, say, $1 to reduce the other person’s winnings by, say, 50 ₵? Will he be willing to pay 25 ₵ to reduce the other person’s winnings by $1? Explain your answers.

1. For each of these relations on the set {1, 2, 3, 4}, decide whether it is reflexive, whether it is symmetric, whether it is antisymmetric, and whether it is transitive.

1. {(2, 4), (4, 2)}
2. {(1, 2), (2, 3), (3, 4)}
3. {(1, 1), (2, 2), (3, 3), (4, 4)}
4. {(1, 3), (1, 4), (2, 3), (2, 4), (3, 1), (3, 4)}

For a) and b) please use the graph representation to determine their properties

For c) and d) please use matrix representation to determine their properties.

5) Solve the linear difference equation: ?(? + 2) − 4?(? + 1) + 3?(?) = 2 ??(?)

Given the initial conditions: ?(0) = 1 , ?(1) = 2

Set A = {1, 2, 3, 4}, write a binary relation R on A that is reflexive, symmetric and transitive, with (1, 2),(3, 2) ∈ R.

You just purchased a 30-year bond with 6% annual coupon, par value of $1000, and 15 years to maturity. The bond makes payments semi-annually and the interest rate in the market is 7.0%. Calculate bond price as of today

• $936.74 • $1015.76 • $918.04 • $908.04

You just purchased a 30-year bond with 6% annual coupon, par value of $1000, and 15 years to maturity. The bond makes payments semi-annually and the interest rate in the market is 7.0%. The bond can be called in 6 years, starting June 1, 2026 at 117% of par. Calculate its yield to call

• 10.36% semiannually • 6.5% semiannually • 5.11% semiannually • 3.5% semiannually

Big Co. owns 60% of Little Co common stock. On 1/1/23 Big Co sold a patent to Little Co for $32,000. The patent had a book value of $20,000 on that date, with a 4 year remaining useful life.

On 5/1/26 Little sells the patent to a third party for $20,000.

Little Co reports earnings of $50,000 each year.

Big uses the FULL equity method to account for their investment in Little.

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Question 11 pts

How much was the unrealized gain or loss on the sale? ("xx,xxx gain" or "xx,xxx loss")

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Question 21 pts

How much unrealized gain or loss is carried forward to 2024? (xx,xxx)

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Question 31 pts

What is the "income to the NC Interest" in 2023? ("trick" question, sort of. Remember, was this an upstream sale or a downstream sale?)

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Question 41 pts

In 2026 the patent is sold to some third party. In the elimination entries related to this intercompany sale, what account                            [ Select ]                       ["Gain on sale", "Retained earnings", "Non-controlling interest", "Investment in Little", "Investment income"]         would be credited, for what amount                            [ Select ]                       ["4,000", "1,000", "3,000", "2,000"]         .

Problem 2-35 Effect of events on financial statements LO 2-1, 2-2, 2-3, 2-4, 2-5, 2-6 Davis Company had the following balances in its accounting records as of December 31, 2013: Assets Liabilities and Equity Cash $ 46,000 Accounts Payable $ 22,000 Accounts Receivable 50,000 Common Stock 85,000 Land 30,000 Retained Earnings 19,000 Totals $ 126,000 $ 126,000 The following accounting events apply to Davis for 2014: Jan. 1 Acquired an additional $46,000 cash from the issue of common stock. April 1 Paid $5,700 cash in advance for a one-year lease for office space. June 1 Paid a $2,300 cash dividend to the stockholders. July 1 Purchased additional land that cost $30,000 cash. Aug. 1 Made a cash payment on accounts payable of $11,000. Sept. 1 Received $8,200 cash in advance as a retainer for services to be performed monthly during the next eight months. Sept. 30 Sold land for $19,000 cash that had originally cost $19,000. Oct. 1 Purchased $1,100 of supplies on account. a. Earned $68,000 of service revenue on account during the year. b. Received $57,000 cash collections from accounts receivable. c. Incurred $14,000 other operating expenses on account during the year. d. Recognized accrued salaries expense of $5,500. e. Had $130 of supplies on hand at the end of the period. f. The land purchased on July 1 had a market value of $30,000. g. Recognized $115 of accrued interest revenue. h. Recognized the earning of cash received in advance for the lease for office space. i. Recognized the cash received in advance for services to be performed monthly. Required Based on the preceding information for Davis Company answer the following questions. All questions pertain to the 2014 financial statements. (Hint: Record the events in general ledger accounts under an accounting equation before answering the questions.) (Do not round intermediate calculations. Enter any decreases to account balances with a minus sign.)

A.) 1. Write a loop that prints the numbers 1-25i.e.

B.) 1 2 3 4... 252. Write a loop that prints all the even numbers between 1 and 50i.e. 2 4 6 8... 483.

C.) Create a list of the following fruits: oranges, apples, grapes and mangos and cherries. Write a loop that prints out every other fruit starting with oranges.i.e. oranges grapes and cherries.

Which of the following pairs of coordination complexes are linkage isomers?

100 50 / 2006 2003 - 2.5 1.25 / 4 ^ * * 2 4 2 ^ # ^ /

Postfix expression please explain