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- Q1. Hotel manager Mr. Smith and his resourceful assistant, John, run a 26-room hotel in a little town. A combination of Mr. Smith's friendly attitude and the absence of a respectable hotel in the nearby vicinity imply that Mr. Smith enjoys sufficient demand at his low fare of $159 per night. John notes that some customers will walk into the hotel requesting a room for that evening and they are willing to pay a high fare of $325 per night. John knows this demand is variable. (In reality, this demand is U(4,9)) He suggests some rooms should be kept unsold to the low-fare customers so that they can serve the high-fare customers. a) To maximize profits with John's plan, what is the booking limit that should be set for low fare customers? b) Mr Smith does not like the idea of John and says “we will sell to everyone who reserves in advance and ignore the walk-in demand." If Mr Smith has his way, what will be the hotel's expected revenue? C) John replies, "If you are going to forgo the…Question 5: Suppose a brewery uses a Cobb-Douglas production function for his production. He studies the production process and finds the following. An additional machine-hour of fermentation capacity would increase output by 500 bottles per day (i.e. MPK = 500). An additional man-hour of labor would increase output by 1000 bottles per day (i.e. MPL = 1000). The price of a man-hour of labor is $50 per hour. The price of a machine-hour of fermentation capacity is $5 per hour. 3. Suppose that the price of a machine-hour of fermentation capacity rises to $25 per hour. How does this change the answer from part 1?QUESTION 3a. Delightful Coffee Limited (DCLL) purchases coffee from Hopeful Harvest Plantations (HHP)in Santa Cruz, Trinidad. HHP sells coffee at four (4) different prices, depending on the size ofthe order, as shown in Table 3 (below):Table 3. Hopeful Harvest Plantations - Coffee pricesWeight of Coffee Price ($USD)Less than 45 kilograms $18 per kilogram45 to 449 kilograms $17 per kilogram,450 to 1000 kilograms $16 per kilogramMore than 1000 kilograms $15 per kilogramThe cost to place an order at DCLL is $50. Annual demand is 4,500 units. The holding (orcarrying) cost is 20 percent of the material price. (iii) What is the economic order quantity that DCLL should buy each time? Please answer the above question
- Question b and cQuestion 1 Forecasting calculation X Month Sales (y)(000 units) 1 Feb. 19 2 Mar. 18 3 Apr. 15 4 May 20 5 Jun. 18 6 Jul. 22 7 Aug. 20 8 Sep a. Using a 5-month moving average, calculate September sales b. Calculate September sales Using a 3-month weighted moving average (weights are 0.60, 0.30. 0.10). c. Calculatate Exponential Smoothing (assume February sale is 19) sales in September (alpha 0.2, that means 1-0.2 = 0.8) d. Using regression analysis, what is Y (September sales) if X is 8? (use data> data analysis button> regression)D & R A1 10 - 6 Question 10. Minimum Variance Commodity Hedge Choc Full of Good Inc., a producer of powdered hot chocolate, has just received a large order that will require the purchase of 800 metric tons of cocoa in 3 months. The current spot price of cocoa is US $3,055 per metric ton. The standard deviation of the change in spot cocoa price is 0.2. Mr. Dulce, the CFO of Choc Full, is considering a minimum-variance hedge of this future cocoa purchase using the three-month cocoa futures contract. The contract size is 10 metric tons. The standard deviation of the change in cocoa futures price is 0.25. The covariance between the change in the spot and futures cocoa price is 0.035. The annually compounded interest rate faced by the company is 5%, the three-month storage cost is $2.5 per metric ton, and the convenience yield is $0.5 per metric ton. What is the estimated effectiveness of this minimum variance hedge?
- Question 10.6 Storage Limited operates a 50-week working year. It produces a product called "GENERAL' for which demand any week in the year is described by the probability distribution below: Demand 2 3 4. 7 8. 9 Probability 0.07 0.10 0.11 0.13 0.15 0.17 0.13 0.08 0.04 0.02 Demand can only be satisfied (if at all) from stocks. The stockholding costs are N4 per item per year. Fixed costs per re-order are N16 and the variable, re-order costs are N30 per unit Lead time is one week. The costs of being out of stock are N12 per unit short. You are required to calculate: (i) The average weekly demand; [i] The Economic Order Quantity; [iv] The number of ordering cycles in the year; and [v] State briefly the main reason for holding inventory, and explain why good inventory management is a very important aspect of overall company management. [ii The average annual demand;A.3 Yellowburn University, a not-for-profit higher education organization, has the following mission statement: ‘We aim to deliver excellent tuition in state-of-the-art facilities to help develop socially responsible students and to contribute to global academic research.’ Which TWO of the following would be appropriate objectives to fit in with this mission? To deliver the best possible lessons. Each member of staff is to write two research papers for publication over the next two years. To increase car parking space at the university by 10% in the next 12 months to improve access. To get 15% of all students to receive first class honors degrees each year. To ensure 100% attendance from all students for every lecture.PP.71 A small manufacturer of specialty welding equipment has developed a combination production plan for the next four quarters, as seen below. Supply/Demand Info Pre-Q1 Q1 4,620 4,620 Forecast (demand) Regular production Subcontract production Ending inventory Hired employees Fired employees Total employees 42 42 Q2 Q3 Q4 4,730 5,390 5,170 5.080 5.060 5.080 330 4 46 The table below shows additional relevant information: Capacity Information & Cost Variables Production rate (units/employee/quarter) Subcontractor capacity (units/quarter) Regular production cost/unit Holding cost'unit/quarter Hiring cost/employee Firing cost/employee Subcontract cost/unit 110 480 $85 $13 $820 $2,150 $119 110 110 46 46 What is the overall total cost for this production plan? (Display your answer to the nearest whole number.) Number What is the total subcontract cost for this production plan? (Display your answer to the nearest whole number.) Number What is the total holding cost for this production plan?…
- Question THREE: Suppose you are given a set of data for output at a company which manufactures detergents over a period of time. You have determined a relation between total operating cost and the quantity produced and is given by the linear regression model as follows: TC=20,000+2,500Q, where TC=Total Operating Cost (in $) per annum and Q = Quantity produced per annum Required: i. Determine the total operating cost in the event that quantity of production is at 4,500, 12,500 and 7,000units. ii. What do you think would be your reservations in relaying on the linear regression model for budgetary planning purposes?QUESTION 1 Kofi Kwakye is a 17-year old final year Senior High student from a wealthy home. His academic life had been quite eventful, as he had been part of the top 10 students in his class and had dropped to be part of the last 10 students during the past school term. On 28th May 2022, in the heat of the preparation towards the final examination, Kofi Kwakye took exeat from school to acquire some "provisions" to enable him cope during the final exam period, which was three months ahead. He entered a shop in Accra and, instead of focusing on the "provisions", he purchasee the following items: Microsoft Xbox, the latest iPhone, and a three-piece suit by Pierre Cardin. Kofi Kwakye did not have enough money to pay for all the items at once. He, therefore, agreed with the shop owner, Mr. Ametepe, to pay the outstanding amount owed in five instalments. However, after paying the first instalment, Kofi Kwakye fell into arrears. The two parties then entered into another arrangement under…Subject Name: Simulation & Modelling Q. Describe the following : • Simulation of a Multi-server queueing system • Simulation of an inventory system