In a park: a 75 kg bicyclist rides 5.8 m/s north; a 24 kg dog runs 3 m/s east chasing a 3.3 kg squirrel running 2.6 m/s the same way; 200 kg park bench remains stationary; and a 43 kg child runs 1 m/s 45^◦ south of east. What is the magnitude of the total momenta of this park system?

Report the value in kg*m/s rounded to the nearest whole number.

The operations and management systems in hotels contain the action, strategies and tactics to create a world class customer service experience that is needed for the productivity and development of your hotel. Cutting costs avoid high employee retention and increase reservations and customer stays. The critical factors are quality management, hotel occupancy rates, facilities planning, production planning, and inventory control. The most critical time of the role of operations is the night audit.Please write a 1 page essay explaining operations and management in the hotel industry.

The Getz Products Company is investigating the possibility of producing and marketing backyard storage sheds. Undertaking this project would require the construction of either a large or small manufacturing plant. The market for the product produced – storage sheds - could be either favorable or unfavorable. Getz, of course, has the option of not developing the product at all.

With a favorable market, a large facility would give Getz a net profit of $200,000. If the market is unfavorable, a $180,000 net loss would occur. A small plant would result in a net profit of $100,000 in a favorable market, but a net loss of $20,000 would be encountered if the market was unfavorable.

Getz Products’ POM manager believes that the probability of a favorable market is the same as that of an unfavorable market (.50/.50)

Suppose that Getz could have their marketing department perform a survey at a cost of $10,000. Getz would then use the results of the survey to decide whether to build a large plant or a small plant, or not to build at all

If the company decides not to conduct the survey, the probabilities and payoffs given previously apply.

If the company decides to conduct the survey, it will result in either a favorable or unfavorable forecast.

If the forecast is favorable, the probability of the market actually being favorable is 0.78, the probability of the market being unfavorable is 0.22. If a large plant is then built, the final result would be a net profit of $190,000 with a favorable market and a net loss of $190,000 with an unfavorable market. If a small plant is built, the final result would be a net profit of $90,000 with a favorable market and a net loss of $30,000 with an unfavorable market. If no plant is built the net loss will be $10,000 (the cost of the forecast survey).

If the forecast is unfavorable, the probability of the market actually being favorable is 0.27, the probability of the market being unfavorable is 0.73. The final results would be the same as above: if a large plant is then built, the final result would be a net profit of $190,000 with a favorable market and a net loss of $190,000 with an unfavorable market. If a small plant is built, the final result would be a net profit of $90,000 with a favorable market and a net loss of $30,000 with an unfavorable market. If no plant is built the net loss will be $10,000 (the cost of the forecast survey).

We estimate the probability of a favorable survey to be 0.45 and the probability of an unfavorable survey to be 0.55.

Draw and Solve a Decision Tree to determine the best plan for Getz.

A cylindrical can is to be built to occupy a volume of 5000m3. The top and bottom of the cylinder cost $500/m2, wheras the cost to build the wall of the cylinder is $300/m2. Also, the top of the cylinder is to have a circular hole that will occupy 1/4 of the top area. Find the dimensions, to 2 decimal places, of the cylinder to minimize the cost. What is the cost, rounded to the nearest hundred, to build the cylinder?

1. A real estate developer is assessing an area for future retail development. She believes it is only profitably to develop a retail outlet in this area if a medical facility or industrial facility is built in the general vicinity within the next 5 years. Typically industrial facilities precede the development of medical facilities. Using this knowledge and some market research, she has arrived at the following probabilities. The overall probability that an industrial facility will be built in the area in the next 5 years is 30%. If the industrial facility is built, she believe the probability that the medical facility is built is 40%. If the industrial facility is not built, she believes the probability that the medical facility will be built goes down to 20%. What is the probability of the following events?

a) neither am industrial facility or medical facility is built

b) only an industrial facility is built

c) only a medical facility is built

d) both an industrial facility and a medical facility is built

e) She also has arrived at the following net present values for her retail development project based on the 4 events above. Given these outcomes and the probabilities you calculated above, what is her expected NPV? Should she do the project?

f. Our real estate developer has learned that the probability that an industrial facility is built in the next 5 years has risen from 30% to 90%. Based on this, rework the problem and provide the new expected NPV of the project. Should she do the project?

Ivanka Trump after moving to Pakisatan and has purchase PC hotel Karachi in November 2020 and renamed it Ivayana. The hotel is a 5 star luxury hotel consisting of 100 single rooms 70 double rooms and 40 Suites. The average night stay in a single room costs Rs 8000. Double bed cost Rs 19000 and suite costs Rs 35000. On average 70 single rooms, 60 double rooms and 35 suites are occupied. Besides, there are 4 ball rooms. The ball rooms are always available for booking but they only get booked on Saturdays and Sundays. Each ball room has capacity of 300 people and rental charged for each booking is RS 130,000. 10 Rooms in each category are paid by credit card. The payment is received a week later. 50% amount related to ball room are received in same month and 50% in next month. The rental charge for ball rooms was Rs 100,000 in 2020. The charge for rooms has not changes since last year and have remained same. The hotel is charged local tax of Rs 5000 each week which is paid in the same month. The hotel has a staff of 150 people. 30 kitchen staff which receive 18% of the amount received againts the bill charged for the meals. On average the kitchen staff receive 90 orders for meal with the average billing of Rs 8000 per meal. the amount of meals billed is immediately collected and the kitchen staff is paid in the 1^st week of next month. The room service and the janitorial satff are 40 which are paid Rs 18000/month at last day of same month. 10 is the num of other lower staff for misc services and they are paid 15000/month at last day of same month. The remainig 20 are the senior executive staff, their remuniration details are not shared. The hotel is powered by solar panels and the, its maintenance is outsourced to a company solarex, they charge Rs 200,000 quarterly, which is paid in 2 installments. 50% is paid in the 1^st month of quarter and the rest is paid in the last month of quarter. The opening cash in hand was Rs 100,000.

Prepare Cash budget for the 1^st quarter of 2021.                (PLO 2.1, CLO 1)                                13 marks

Hint: Consider reviewing the actual calendar for 2021.

Ivanka Trump after moving to Pakisatan and has purchase PC hotel Karachi in November 2020 and renamed it Ivayana. The hotel is a 5 star luxury hotel consisting of 100 single rooms 70 double rooms and 40 Suites. The average night stay in a single room costs Rs 8000. Double bed cost Rs 19000 and suite costs Rs 35000. On average 70 single rooms, 60 double rooms and 35 suites are occupied. Besides, there are 4 ball rooms. The ball rooms are always available for booking but they only get booked on Saturdays and Sundays. Each ball room has capacity of 300 people and rental charged for each booking is RS 130,000. 10 Rooms in each category are paid by credit card. The payment is received a week later. 50% amount related to ball room are received in same month and 50% in next month. The rental charge for ball rooms was Rs 100,000 in 2020. The charge for rooms has not changes since last year and have remained same. The hotel is charged local tax of Rs 5000 each week which is paid in the same month. The hotel has a staff of 150 people. 30 kitchen staff which receive 18% of the amount received againts the bill charged for the meals. On average the kitchen staff receive 90 orders for meal with the average billing of Rs 8000 per meal. the amount of meals billed is immediately collected and the kitchen staff is paid in the 1^st week of next month. The room service and the janitorial staff are 40 which are paid Rs 18000/month at last day of same month. 10 is the number of other lower staff for misc services and they are paid 15000/month at last day of same month. The remainig 20 are the senior executive staff, their remuniration details are not shared. The hotel is powered by solar panels and the, its maintenance is outsourced to a company solarex, they charge Rs 200,000 quarterly, which is paid in 2 installments. 50% is paid in the 1^st month of quarter and the rest is paid in the last month of quarter. The opening cash in hand was Rs 100,000.

Prepare Cash budget for the 1^st quarter of 2021.   

Hint: Consider reviewing the actual calendar for 2021.

QUESTION 2

Salju Bhd is a company that specialised in producing office furnishings for industry-customers as well as for walk-in customers. The furnishings are grouped based on its materials. The following information is available from the company’s inventory records as at 31 December 2017.

Inventories are recorded at their cost. However, due to the market intense competition and declining in demand for company’s product, the operation of Salju Bhd has also affected and its inventory has declined in value. Salju Bhd has taken an approach to follow the practice of valuing its inventory at the Lower of Cost or Net Realisable Value (LCNRV) method. Salju applies the loss method and uses an Allowance Account to record for the write down of the inventory to net realisable value.

REQUIRED:

(Round your answers to the nearest RM)

1. Assuming that Salju Bhd applies the LCNRV rule to each major groups of furniture. Determine the following items as at 31 December 2017:

1. Net Realisable Value (NRV) per major group,
2. Lower-of-Cost-or-NRV (LCNRV) per major group, and
3. The final amount of inventory.

2. Prepare the journal entry at 31 December 2017 to account for the write-down of the inventory to NRV. Assuming the use of a perpetual inventory system.
3. Show a partial of Salju Bhd statement of financial position as at 31 December 2017 to present the information on its inventory.
4. Assuming that at the year-end 2017, the account of Allowance to Reduce Inventory to NRV had a credit balance of RM300,000. For the financial year end 2017, determine the amount of the gain or loss that would be recorded due to the change in Allowance to Reduce Inventory at Net Realisable Value. Prepare the related journal entry.

e. Explain how the application of LCNRV approach may result inconsistency in terms of its inventory measurement.

Explain what Net Operating Income is and what is meant by Net Operating Loss. What factors arre associated when calculating the Net Operating Income percentage for a hotel? Why is this measure a good way of evaluating the hotel performance?

Park is always willing to give up 5 tangerines for 1 orange. The price of one orange is $1 and the price of one tangerine is $0.25. Park's spending budget for orange and tangerine is $10.

(1) Park is currently consuming 16 tangerines and 6 oranges. Give a suggestion about the direction of substitution for Park to improve his satisfaction.  Justify your suggestion using the economic meaning of the marginal rate of substitution and the market rate of substitution.

(2) To maximize his satisfaction, how many oranges and tangerines should Park purchase with $10 budget?  

(3) Give a graph in which the optimal consumption point shown. Include both the budget line and an indifference curve related to the optimal consumption. Clearly label the axes and mark the coordinates of the optimal consumption point.