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- Question 2: A manufacturing company produces 2 products, air conditioners and fan heaters: Each air-conditioner requires 3 hrs of wiring and 2 hrs drilling. Each heater needs 2 hrs wiring and 1 hr drilling. During the next production period, there are 240 hrs of wiring time available and 140 hours of drilling time. Each air-conditioner sold yields a profit of 25€. Each heater can be sold for 15€. Formulate this production-mix Linear Programming problem and find the combination of air-conditioners and heaters which gives the most profit.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 $325 per night. John knows this demand is variable. (In reality, this demand is U(4,9)) He suggests some rooms should be kept unsold to the low-fare customers so that they can serve the high-fare customers. a) To maximize profits with John's plan, what is the booking limit that should be set for low fare customers? b) Mr Smith does not like the idea of John and says “we will sell to everyone who reserves in advance and ignore the walk-in demand." If Mr Smith has his way, what will be the hotel's expected revenue? C) John replies, "If you are going to forgo the…QUESTION 3a. Delightful Coffee Limited (DCLL) purchases coffee from Hopeful Harvest Plantations (HHP)in Santa Cruz, Trinidad. HHP sells coffee at four (4) different prices, depending on the size ofthe order, as shown in Table 3 (below):Table 3. Hopeful Harvest Plantations - Coffee pricesWeight of Coffee Price ($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 16, Question 17, Question 18, Question 19, Question 20, Question 21Additional Question. The XYZ steel company must determine a policy for ordering coal to operate 15 converters. The ordering cost is $85/order and the cost of holding coal is 15% of the purchasing cost. The XYZ has a contract to obtain the coal for $14 per ton for the coming year. Each converter requires exactly 8 tons of coal per day to operate, and the firm operates 300 days per year. a. Determine the optimal quantity of coal to receive in each order. b. Determine the total inventory-related cost associated with the optimal ordering policy c. Optimal number of orders to place per year and number of operating days between orders, based on the optimal ordering. d. The XYZ is now considering to the following discount policy provided by supplier: Order Quantity (tons) 1,000 - 1,999 Price per ton $14 $12 $10 2,000 - 2,999 3000+ Please help the XYZ to determine the amount the firm should order.
- 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;Q1. Dallas Mavericks’ owner Mark Cuban proved his business intelligence once again with the acquisition of star player Kristaps Porzingis. To benefit from this blockbuster trade even further, Cuban plans to sell one-time-only special edition Porzingis jerseys at a price of $380 each during the first month of the season (i.e., during October 2019 only). The production cost for each of these jerseys would be $100 thanks to their golden details, and any unsold jersey during October will be sold for $80 during November 2019. Knowing the fan base for years, Cuban estimates demand for these special edition jerseys to follow a normal distribution with a mean of 10,000 units and a standard deviation of 2,000. partc. Cuban also plans to sell these special edition jerseys in his vacation resort. Knowing that people are wealthier in the resort, he sets a price of $500 for each jersey (although production cost stays the same). This time however, he cannot sell any unsold jerseys outside the…
- Q1. General Appliance Corp. produces refrigerators at three plants: Marietta, Minneapolis and Phoenix. They ship them to major retail outlets in Chicago, Los Angeles and New York City. The accounting, production and marketing departments have provided the following information in the given tables; Plant capacities over the next planning period, retail outlet demand and unit cost of shipping between any plant and retail outlet. The company would like to minimize the cost of their transportation network by identifying how many units to ship between each plant and retail outlet. 1. Formulate this linear optimization problem by clearly listing the decision variables, objective function and constraints. 2. Create a spreadsheet model for this problem and solve it using Solver. What is the minimum cost? Plant Supply Marietta 1200 Minneapolis 800 Phoenix 1600 Retail Outlet Demand Chicago 650 Los Angeles 1450 New York City 1500…Question 18 Suppose the number of buyers in a market increases and a technological advancement occurs also. What would we expect to happen in the market? O a Equilibrium price would decrease, but the impact on equilibrium quantity would be ambiguous Ob. Equilibrium price would increase, but the impact on equilibrium quantity would be ambiguous. Oo Equilibrium quantity would decrease, but the impact on equilibrium price would be ambiguous O d. Equilibrium quantity would increase, but the impact on equilibrium price would be ambiguousSupervision Question Why does compromise generally leave both parties feeling frustrated?