Natalie owns a condominium near Cocoa Beach in Florida. This year, she incurs the following expenses in connection with her condo:

During the year, Natalie rented out the condo for 94 days, receiving $22,500 of gross income. She personally used the condo for 50 days during her vacation.

Assume Natalie uses the Tax Court method of allocating expenses to rental use of the property. Assume 365 days in the current year.

a. What is the total amount of for AGI (rental) deductions Natalie may deduct in the current year related to the condo (assuming she itemizes deductions before considering deductions associated with the condo)?

b. What is the total amount of itemized deductions Natalie may deduct in the current year related to the condo?

c. If Natalie’s basis in the condo at the beginning of the year was $210,000, what is her basis in the condo at the end of the year?

d. Assume that gross rental revenue was $4,500 (rather than $22,500). What amount of for AGI deductions may Natalie deduct in the current year related to the condo?

1) A bacterial strain called XYZ living in the lake MBG223 near Bilkent University requires to synthesize tryptophan continuously. The reason is, the essential proteins (essential means, the proteins required for survival of the bacteria) contain high content of tryptophan. Therefore, this bacterial strain XYZ has a tryptophan operon. Unfortunately, the tryptophan level of nutrition available in lake MBG223 is very limited during summer and winter time and the other nutrition levels are high. During the summer time, as the lake MBG223 partially evaporates, the salinity of the water increases, the temperature of the lake arises and the pH of the environment turns from natural to acidic. Changes in salinity, pH and temperature is known to disrupt hydrogen bonding in nucleotide base-pairings and also the structure of the proteins. Here, assuming that the structure/function of the proteins are not effected please answer the following.

İnside the XYZ bacteria, what would you observe with regards to synthesis of tryptophan bearing proteins during summer vs. winter time? How would this effect bacterial growth rate during the summer time vs winter time?

2)In another neighboring lake called MBG222, they found a different bacterial strain called WOWWW to have mutant tRNAs on the anti-codon region of the tRNA. This tRNA carries Phenylalanine to wherever it encounters the sequence UGG (tryptophan) on the mRNA. What happens to the regulation of the trypthophan operon in bacteria that has 1) high tryptophan and low phenylalanine vs. bacteria that has low tryptophan and high phenylalanine?

Kilgore's Deli is a small delicatessen located near a major university. Kilgore's does a large walk-in carry-out lunch business. The deli offers two luncheon chili specials, Wimpy and Dial 911. At the beginning of the day, Kilgore needs to decide how much of each special to make (he always sells out of whatever he makes). The profit on one serving of Wimpy is $0.45, on one serving of Dial 911, $0.58. Each serving of Wimpy requires 0.25 pound of beef, 0.25 cup of onions, and 5 ounces of Kilgore's special sauce. Each serving of Dial 911 requires 0.25 pound of beef, 0.4 cup of onions, 2 ounces of Kilgore's special sauce, and 5 ounces of hot sauce. Today, Kilgore has 20 pounds of beef, 15 cups of onions, 88 ounces of Kilgore's special sauce, and 60 ounces of hot sauce on hand.

1. Develop an LP model that will tell Kilgore how many servings of Wimpy and Dial 911 to make in order to maximize his profit today.
   

   Let
   	W = # of servings of Wimpy to make
   	D = # of servings of Dial 911 to make

   Max	W	+	D
   s.t.
   	W	+	D	≤		(Beef)
   	W	+	D	≤		(Onions)
   	W	+	D	≤		(Special Sauce)
   			D	≤		(Hot Sauce)
   			W, D	≥	0

2. Find an optimal solution. Round the answer for profit to the nearest cent and, if required, round the answers for W and D to one decimal place.
   
   Solution: W = , D = , Profit = $  
   
3. What is the dual value for special sauce? Round your answer to the nearest cent.
   
   Dual value for special sauce = $  
   
4. Increase the amount of special sauce available by 1 ounce. Give the new solution. Round the answer for profit to the nearest cent.
   
   Solution: W = , D = , Profit = $  
   
   Does the solution confim the answer to part (c)?
   
   

A bacterial strain called XYZ living in the lake MBG223 near Bilkent University requires to synthesize tryptophan continuously.  The reason is, the essential proteins (essential means, the proteins required for survival of the bacteria) contain high content of tryptophan.  Therefore, this bacterial strain XYZ has a tryptophan operon.  Unfortunately, the tryptophan level of nutrition available in lake MBG223 is very limited during summer and winter time and the other nutrition levels are high. During the summer time, as the lake MBG223 partially evaporates, the salinity of the water increases, the temperature of the lake arises and the pH of the environment turns from natural to acidic.  Changes in salinity, pH and temperature is known to disrupt hydrogen bonding in nucleotide base-pairings and also the structure of the proteins.  Here, assuming that the structure/function of the proteins are not effected please answer the followings.

a) İnside the XYZ bacteria, what would you observe with regards to synthesis of tryptophan bearing proteins during summer vs. winter time?  How would this effect bacterial growth rate during the summer time vs winter time? (18pts)

b) In another neighboring lake called MBG222, they found a different bacterial strain called WOWWW to have mutant tRNAs on the anti-codon region of the tRNA.  This tRNA carries Phenylalanine to wherever it encounters the sequence UGG (tryptophan) on the mRNA. What happens to the regulation of the trypthophan operon in bacteria that has 1) high tryptophan and low phenylalanine vs. bacteria that has low tryptophan and high phenylalanine? (12 pts)

Natalie owns a condominium near Cocoa Beach in Florida. This year, she incurs the following expenses in connection with her condo:

During the year, Natalie rented out the condo for 85 days, receiving $22,750 of gross income. She personally used the condo for 39 days during her vacation.

Assume Natalie uses the Tax Court method of allocating expenses to rental use of the property. Assume 366 days in the current year. (Do not round intermediate calculations. Round your final answers to the nearest whole dollar amount.)

a. What is the total amount of for AGI (rental) deductions Natalie may deduct in the current year related to the condo?

b. What is the total amount of itemized deductions Natalie may deduct in the current year related to the condo?

c. If Natalie’s basis in the condo at the beginning of the year was $178,000, what is her basis in the condo at the end of the year?

d. Assume that gross rental revenue was $4,550 (rather than $22,750). What amount of for AGI deductions may Natalie deduct in the current year related to the condo?

3. McHuffter Condominiums, Inc., of Pensacola, Florida, recently purchased land near the Gulf of Mexico and is attempting to determine the size of the condominium development it should build. Three sizes of develop-ment are being considered; Small, d₁; Medium, d₂; and large, d₃. At the same time, an uncertain economy makes it difficult to ascertain the   demand for the new condominiums. McHuffter's management realizes that a large development followed by a low demand could be very costly to the company. However, if McHuffter makes a conservative small-development decision and then finds a high demand, the firm's profits will be lower than they might have been. With the three levels of demand-low, medium and high. McHuffter's management has prepared the following profit ($000). (20 pts.)

         payoff table

          -------------------------------------------

                                   Demand

            Decision    ----------------------------

         Alternatives       Low    Medium    High

         -------------------------------------------

           Small, d₁         400      400      400

           Medium, d₂        100      600      600

           Large, d₃        -300      300      900

        --------------------------------------------

a) If nothing is known about the demand probabilities, what are the      recommended decision using the Maximax(optimistic), Maximin (pessi-    mistic), and Minimax regret approaches?

b) If P(low) = 0.20, P(medium) = 0.35, and P(high) = 0.45, What is the   recommended decision using the expected value approach?

c) What is the expected value of perfect information (EVPI)? You have         to use regret table to get EVPI.

Suppose that before making a final decision, McHuffter is considering

conducting a survey to help evaluate the demand for the new condominium

development. The survey report is anticipated to indicate one of two

levels of demand: weak(W) or strong(S). The relevant probabilities are as

follows: (25 pts)

    P(W)= 0.3 P(low/W)   = 0.50      P(low/S)   = 0.10

    P(S)= 0.7 P(medium/W)= 0.40      P(medium/S)= 0.25

               P(high/W) = 0.10      P(high/S) = 0.65

BDSC 340.001-3

   d) Construct a decision tree for this problem and analyze it.  

   e) What is McHuffter’s optimal decision?

   f) What is the expected value of the survey(sample) information?

Thirty small communities in Connecticut (population near 10,000 each) gave an average of x = 138.5 reported cases of larceny per year. Assume that σ is known to be 41.9 cases per year.

(a) Find a 90% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.)

(b) Find a 95% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.)

(c) Find a 99% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.)

An analyst has created estimates for a new Putt Putt course near the local elementary school. The course will require an investment (building and equipment) at year 0 of $166,994.00. This amount can be depreciated over 5 years using the straight-line approach. The building can be sold for an NSV of $42,903.00 in year 5. The entrepreneur needs help estimating the cash flows for the business.

The investor wants an 9.00% return on the investment and the firm faces a 35.00% tax rate.

What is the NPV of this project?

Need for renter's insurance. Charles and Layla Moore, both graduate students, moved into an apartment near the university. Layla wants to buy renter’s insurance, but Charlesthinks that they don’t need it because their furniture isn’t worth much. Layla points out that, among other things, they have some expensive computer and stereo equipment. To help the Moores resolve their dilemma, suggest a plan for deciding how much insurance to buy and give them some ideas for finding a policy.

Question 98)

Part 1)

A charged cloud system produces an electric field in the air near Earth's surface. A particle of charge -2.1 × 10^-9 C is acted on by a downward electrostatic force of 4.0 × 10^-6 N when placed in this field. (a) What is the magnitude of the electric field? (b) What is the magnitude of the electrostatic force on a proton placed in this field? (c) What is the gravitational force on the proton? (d) What is the ratio of the electrostatic force to the gravitational force in this case?

Part 2)

A block with a mass of 11.1 g and a charge of +6.70 × 10^-5 C is placed in an electric field with x component E_x = 2.77 × 10³ N/C, y component E_y = -728 N/C, and z component E_z = 0. (a) What is the magnitude of the electrostatic force on the block and (b) what angle does that force make with the positive x direction? If the block is released from rest at the origin at time t = 0, what are its (c) x and (d) y coordinates at t = 2.80 s?

Part 3)

An electron is shot at an initial speed of v₀ = 4.62 × 10⁶ m/s, at angle θ₀ = 40.9 ˚ from an x axis. It moves through a uniform electric field E→ = (5.40 N/C)j→. A screen for detecting electrons is positioned parallel to the y axis, at distance x = 1.84 m. What is the y component of the electron's velocity (sign included) when the electron hits the screen?