Write all constrains equations Draw the constrain region Check if the following pints are valid solution and find their profit - (1,1) - (0.5,2.5) - (3,1) - (3,3) Find the corner points solution table 1 6 Const Const chair 6 5 Constrain 6 30
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- 26. XYZ and Co has provided the following data seeking your advice on optimum investment strategy: Net return data (in paise) Investment made at the of selected investments Amount beginning of year available (Lakh) 1 95 80 70 60 70 2 75 65 60 50 40 3 70 45 50 40 90 60 40 40 30 30 Маximum Investment (Lakh) 40 50 60 60 The following additional information is also provided: (i) P, Q, R and S represent the selected investments. (ii) The company has decided to have four-year investment plan. (iii) The policy of the company is that amount invested in any year will remain so until the end of the fourth year. (iv) The values (paise) in the table represent net return on investment of 7 1 till the end of the planning horizon (for example, a rupee invested in investment P at the beginning of first year will grow to { 1.95 by the end of the fourth year, yielding a return of 95 paise). Using the above, determine the optimum investment strategy. (CA, November, 1996)Civil engineering consulting fi rms that provide ser-vices to outlying communities are vulnerable to a number of factors that affect the fi nancial conditionof the communities, such as bond issues and real estate developments. A small consulting fi rm en-tered into a fi xed-price contract with a large devel-oper, resulting in a stable income of $260,000 per year in years 1 through 3. At the end of that time, a mild recession slowed the development, so the par-ties signed another contract for $190,000 per year for 2 more years. Determine the present worth of thetwo contracts at an interest rate of 10% per year.A manager uses this equation to predict demand for landscaping services: Ft= 10 + 5t Over the past eight periods, demand has been as follows: Period, t: 1 Demand: 15 2 21 Period, t Tracking signal 1 2 3 4 5 6 7 8 3 23 30 5 32 6 38 42 Click here for the Excel Data File Compute the tracking signals for Periods 1-8. (Negative values should be indicated by a minus sign. Round your intermediate calculations and final answers to 3 decimal places.) 8 47
- 9.2-6. Consider the transportation problem having the following parameter table: Plants respecti and 20 Th Destination 4 Supply mine the 1. 9. 20 30 30 20 to the re 8. 4 9. Source 7. minimiz (а) Fort 3. 6. 4(D) 0. 0. stru Demand (b) Use solu (c) Star tivel tima 25 25 10 20 After several iterations of the transportation simplex method, a BF solution is obtained that has the following basic variables, x= 20, 20. Continue the transportation simplex method for wo more iterations by hand. After two iterations, state whether the solution is optimal 25, 5, X2 =0, x – 0, 15 9.2-9. T systems The (1) electr ing. The and, if so, why. D1.9.2-7. Consider the transportation problem having the fol- 740O 201. Consider the decision table given below. Find which Profits NI N2 N3 N4 decision will be taken, as a function of c (a real number) according to a. Wald's criterion, Laplace's criterion, and Hurwicz's criterion (take a-0.6). b. Find the range(s) of c for which all three methods uniquely lead to same alternative. SI 3. 4 6. S2 2 4 S3 6. S4 6. 6Problem 1. The number of salespeople assigned to work during a shift is apportioned based on the average number of customers during that shift. Apportion 20 salespeople given the information below. Shift Morning Midday Afternoon Evening The average number of customers 95 305 435 515 Determine the apportionment using Hamilton’s Method Jefferson’s Method Webster Method Huntington-Hill Method
- A firm that plans to expand its product line must decide whether to build a small or a large facilityto produce the new products. If it builds a small facility and demand is low, the net present valueafter deducting for building costs will be $400,000. If demand is high, the firm can either maintainthe small facility or expand it. Expansion would have a net present value of $450,000, and maintaining the small facility would have a net present value of $50,000.If a large facility is built and demand is high, the estimated net present value is $800,000. If demandturns out to be low, the net present value will be – $10,000.The probability that demand will be high is estimated to be .60, and the probability of low demandis estimated to be .40.a. Analyze using a tree diagram.A firm that plans to expand its product line must decide whether to build a small or a large facilityto produce the new products. If it builds a small facility and demand is low, the net present valueafter deducting for building costs will be $400,000. If demand is high, the firm can either maintainthe small facility or expand it. Expansion would have a net present value of $450,000, and maintaining the small facility would have a net present value of $50,000.If a large facility is built and demand is high, the estimated net present value is $800,000. If demandturns out to be low, the net present value will be – $10,000.The probability that demand will be high is estimated to be .60, and the probability of low demandis estimated to be .40. 1- Compute the EVPI 2- Determine the range over which each alternative would be best in terms of the value of P ( low demand )PROBLEM The Seminole Company wishes to apply the Miller-Orr model to manage its cash investment. Seminole’s management has determined that the cost of either investing in or selling marketable securities is $200. By looking at Seminole Company’s past cash needs, they have determined that the variance of daily cash flows is $10,000. Seminole Company’s opportunity cost of cash, per day, is estimated to be 0.05%. Seminole management has figured, based on their experience dealing with the cash flows of the company, that there should be a cushion— a safety stock—of cash of $20,000. 1. How much is the variance of daily cash flows? (Use a number, no decimal value, no commas, no currency, no space) * 2. How much is the opportunity cost of cash, per day? (Use a number, must be in decimal form. eg. 6.3%/100, encode 0.063 , no commas, no currency, no space) * 3. How much is the cost per transaction? (Use a number, no decimal value, no commas, no currency, no space) * PLEASE ANSWER ALL QUESTIONS.…
- B 8,000 A 4,000 10,000 20,000 Disposable income Figure 1.2 2) Refer to Figure 1.2. The slope of the line between Points A and B is A) 0.4. C) 2.5. B) 1.2. D) indeterminate from this information. ConsumptionData collected on the yearly demand for 50- pound bags of fertilizer at Wallace Garden Supply are shown in the following table. Estimate demand for vear 12 with a weighted moving average in which sales in the most recent year are given a weight of 2 and sales in the other two years are each given a weight of 1. Year Demand (Bags) 4 6. 3 4. 4. 10 6 8. 8. 8. 12 10 14 11 15 O A. 13.67 O B. 14.00 OC. 14.87 O D. 11.79 Click to select your answer. Us MacBook Air 888 * ES F2 F4 F6 F7 4) F9 F10 %23 2$ & * 4 6. 7 8 9. Q W R T Y F C V В alt command command option %#3V3 Supply 1 10 U₁ 4 20 112 4 2 30 U3 Demand 15. 20 25 Find a basic feasible solution, by using - Northwest corner method. Check if the initial solution is optimal if not find it, by using method of A) B) multipliers 153 23212 V1