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- Q-1)A glass melting furnaces feed auto plumping machines for producing the electric lamp casing (balloon),there are two main kinds can be produced, the original and the big one, they must produce at least 25 million of the original but not accede over 35 million ,and they must produce 3 million of the big one, however the ratio of the original must be at least 5 times to the big one which make a profit double the original, producing million of the big one utilize 5% Of the available materials but the original utilize 2.5% of the available materials ,For this problem ,the objective function is: Max Z =0.5X1+2X2 O MIN Z =2X1+X2 O Max Z =2X1+2X2 O Max Z =2X1+X2Judd 57 Joel Gus Tim $3 2. 1 $5 $2 First film Second film Third film Fourth film Fifth film 1. 0. 0. 5. 2. 1 a. Within the dorm room, is Ux showing of a movie a public good? Why or why not? b. W itcosts S5 to rent a movic how many movies should the mommates rent to maximize tothl surplus? c. li they choose the optimal number from part (b)and then split the cost of renting the movies equally, how much surplus does.cach person obtain from wakhing the me d. s there any way tospl ost.tormsre that everyone benefits? What practical problems does this solution reise? Suppose they agmeinarancetochoxxe the efficient number and to split the cosr of the movies equally. When fudd is asked his wiling ness to pay, will he have an incentive to toll the Iruth? If so, why? f not. what will he he tempted (1అ) బ* E What does this example teach you abou the optimal provision of public goods? yol public gods?14.1. Care Alliance (CA), a manufacturer of emergency care kits for disaster relief, has received the annual disaster readiness plans from its major constituents and now must develop an operations plan to set production, labor, and inventory levels of its basic emergency products for the next four quarters. Demand for the kits, given below, varies with seasonal weather, political climate, and economic conditions. The average worker at CA can produce 10,000 kits a quarter at a cost of $9 per kit. The cost of holding inventory is $2 per kit per quarter. Due to the medical nature of many of its products and concern for quality, hiring and firing costs are $700 per worker. CA currently employs 20 workers. Given the demand forecast below, develop a quarterly operations production plan for CA using (a) chase demand and (b) level production: Quarter Demand 1 150,000 2 250,000 3 350,000 4 250,00
- Hardware departm 8. Decision Tree A wine maker must decide whether to harvest grapes now or in four weeks. Harvesting now will yield 100,000 bottles of wine, netting P 2 per bottle. If the wine maker waits for four weeks and weather turns cold (probability: 20%), the yield will be cut in half but net P 3 per bottle. If the weather does not turn cold, the yield depends on rain. With rain (probability: 50%), a full yield netting P 4 per bottle will result. Without rain, there will still be a full 100,000-bottle yield, but the net amount will be P 3 per bottle only. REQUIRED: Determine the optimal expected value. D NOW LATER (4 weeks) COLD ( ): NOT COLD Decision Alternative Stock 0 unit Stock 1 unit Stock 2 units ( RAIN ( NO RAIN ): 9. Decision (Payoff) Table ESA Dealers, Inc. is contemplating on how many units of cars to order to meet the customer demands for the month based on the following projection: ): Demand 0 unit 1 unit 2 units The profit for each unit sold is P 200,000 while the…1. 1.Alabama llc collected sales dara for four months, janurary through april. the data is janurary-17, feburary -24, march -25 and april -26. usung a three month moving average. the forcaste calue of may is a. 21 b.22 c.23 d.24 2. a decision tree branch has an expectrd monrtary value of 108. the probability of success is .6 with an outcome value of 200. what is the outcome value of failure?Q. Hotel California has 160 rooms. The hotel has an ample low-fare demand at the room rate of $200 per night, but the demand from the high-fare class which pays $450 per night on average, is uncertain. Table below shows the number of high-fare rooms that were booked during the past 30 days. How many rooms should Hotel California protect for high-fare customers to maximize its expected revenue? Number of high-fare rooms Frequency 0 5 1 3 2 6 3 8 4 4 5 1 6 1 7 2 Total=30
- To finance a vacation in 4 years, Elsie saves $410 at the beginning of every six months in an account paying interest at 13% compounded semi dash annually. (a) What will be the balance in her account when she takes the vacation? (b) How much of the balance will be interest? (c) If she waits an additional year to start her vacation, and continues to save the same amount of money, how much more money does she have to spend? Question content area bottom Part 1 a) The balance in her account will be $ enter your response here. (Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.) Part 2 b) The amount of interest will be $ enter your response here. (Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.) Part 3 c) She will have an extra $ enter your response here to spend on her vacation. (Round the final answer to the nearest cent as needed. Round all…QUESTION S u he an arocade tree, which grows 100 avocados ths year, 60 next year Your neighbor has an avocato troe, which grows 0 avocados this year, 150 next year. Under agreement 1 today 1 tomo Lete be the number of vocados you save Under the optimal sving, consumpiton ths year et? QUESTION 6 You have an avocado tree, which gown 100 avocados his year, 60 rext year. Your neighbor has an avocado tree, which grows 0 avocados this year, 150 next year. Under agreement "1 today 1 tomo. Ls be the nunber of avocados you save Consumption next year c2=7Unit 4 Exercises Question 4.1 Use exponential smoothing with trend adjustment to forecast demand for period 11. Let a = 0.5, B = 0.3, and let the initial trend value be 12 and the initial forecast be 200. 田 Actual Period Demand 1 200 2 212 3 214 4 222 236 221 7 240 8 244 9 250 10 266 Question 4 2
- Q 6. A production line is to run at 1200 units per month. Sales are forecast as shown in the following table. Calculate the expected period-end inventory. The opening inventory is 700 units. All periods have the same number of working days. Week Forecast Demand 3 |5 6 1 2 4 800 850 600 550 600 700 Planned Production 1200 1200|1200 1200 1200|1200 Planned Inventory 700QUESTION 3 The demand for SMART TVs at Makro adheres to the following probability distribution: Lead Demand per day 1 0.10 0.25 1 2 3 2 3 4 4 Time 4 Probability 0.3 0.2 0.1 0.05 0.60 0.25 0.1 0.05 In order to meet the demands, the store orders 12 TVs whenever the stock level is at 3 units. Management is trying to maintain low inventory levels. The holding cost is R75/unit/day; the ordering cost is R200 per order. The lost sale cost is R100/unit/day and currently, there are 4 units in stock. 1. Simulate a 12-day inventory management scenario, assuming that there is an outstanding order of 6 units that will arrive on day one. NB: show all the steps! 2. Make a brief analysis of the simulation results. 3. What is the daily inventory management cost?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…