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- 2. Consider the transportation problem having the following parameter table (M is a big positive number) Source Demand 1 12345 2 3 5 1 2 3 343800 13 14 4 18 3 0 130940 Destination 4 5 22 29 18 21 M 3 5 26M940 16 M 11 24 34 19 23 11 4 6 Supply 0 ooooo 0 6 0 0 36 28 0 5 6 2 56743 (a) Use the northwest corner rule manually to obtain a complete initial BF solution, also find the objective value for this solution. How many basic variables are there in this solution? (b) Use Vogel's approximation method manually to select the first basic variable for an initial BF solution. (Attention, do not need to find an complete initial BF solution, just find the first BV for this initial BF solution)A manager uses this equation to predict demand for landscaping services: Ft = 14 + 4t. Over the past eight periods, demand has been as follows: Period, t: 1 2 3 4 5 6 7 8 Demand: 20 25 25 35 35 40 45 50 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.) Period t Tracking Signal 1 2 3 4 5 6 7 8Maximize Profit=123 L + 136 S 17 L+11 S≤ 3000 6 L+9 S≤2500 L20 and S20 (Availability of component A) (Availability of component B) Show Transcribed Text Implement the linear optimization model and find an optimal solution. Interpret the optimal solution. The optimal solution is to produce LaserStop models and SpeedBuster models. This solution gives the possible profit, which is $. (Type integers or decimals rounded to two decimal places as needed.)
- 280 80 F3 4 / 5 | 100% + B 4. Amy Zeng, owner of Zeng's Restaurant Distributions, supplies nonperishable goods to restaurants around the metro area. She stores all the goods in a warehouse. The goods are divided into five categories according to the following table. The table indicates the number of trips per month to store or retrieve items in each category, as well as the number of storage blocks taken up by each. Item Category Monthly Trips Area Needed (Blocks) Paper Products 50 Dishes, Glasses, and Silverware 16 Cleaning Agents 6 Cooking Oils and Seasonings 30 Pots and Pans 12 The following picture of the warehouse provides an identification number for each of the 16 storage blocks. For each item category, indicate into which blocks it should be stored. 1 3 5 7 9 11 13 15 Dock Aisle 4 6 8 10 12 14 16 2 SA C DII F8 JUN 16 O 000 000 F4 2 útv F5 OO (O 6 C MacBook Air F6 8 F7 24226 DD F9Find Solution using Voggel's Approximation method, also find optimal solution using modi method D1 D2 D3 D4 Supply si 19 30 50 10 7 S2 70 30 40 60 9 S3 40 8 70 20 | 18 Demand 5 8 7 1426. 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)
- . Gulf Coast Electronics is ready to award contracts to suppliers for providing reservoir capacitors for use in its electronic devices. For the past several years, Gulf Coast Electronics has relied on two suppliers for its reservoir capacitors: Able Controls and Lyshenko Industries. A new firm, Boston Components, has inquired into the possibility of providing a portion of the reservoir capacitors needed by Gulf Coast. The quality of products provided by Lyshenko Industries has been extremely high; in fact, only 0.5% of capacitors provided by Lyshenko had to be discarded because of quality problems. Able Controls has also had a high quality level historically, producing an average of only 1% unacceptable capacitors. Because Gulf Coast Electronics has had no experience with Boston Components, it estimated Boston Components' defective rate to be 11%. Gulf Coast would like to determine how many reservoir capacitors should be ordered from each firm to obtain 74000 acceptable-quality…Problem 7-19 eBook Given the linear program Max 3A +48 s.t. Y -1A+ 1A + 2A + s.t. 28 ≤ 8 2B ≤ 12 18 ≤ 16 Α, Β 2 0 a. Write the problem in standard form. For those boxes in which you must enter subtractive or negative numbers use a minus sign. (Example: -300) Al+ A+ A+C A+ B+ B B+ B B b. Select the correct graph that shows the optimal solution for the problem. S1 S1 + + S₂ + S2 + S3 53 A, B, S1, S2, S3 A Q☆Consider the following profit matrix O Oz 02 0, 04 30 23 10 -3 a2 15 27 20 19 az 13 17 29 32 18 a4 31 21 13 No probabilities are known for the occurrence of the nature states. Compare the solutions obtained by each of the following criteria: а. Laplace b. Махіmin(Minimax) c. Savage d. Hurwitz (assume that a = 0.5)
- Your objective function is the following MAX 15 A + 10 B Find the endpoints for an iso-profit line of $600The alternatives shown are to be compared on the basis of their present worth values. At an interest rate of 8% per year, the values of n that you should use in the uniform series factors to make a correct comparison by the present worth method are: Alternative(A) Alternative (B) -25,000 -10,000 10,000 First Cost M&O cost/year 3,000 Salvage value 6,000 -2,000 Life 4 O A n 4 years for A and n =4 years for B OB. None of the above O C. n = 4 years for A and n =3 years for B O D. n = 12 years for A and n = 12 years for B1. Three restaurants are making 3 types of dishes in different prices as the following table shows (in OR) Book stores Romantic novel Science novel hostorical novel restaurant A 2 5 1 restaurant B restaurant C 3 3 2 4 3 1 If each restaurant buys a certain number of dishes in each type as the following table show Arabian D+ 0.6 D=7 Indian F + 1.1 F=7 Аmirican C +0.5 C=2 Which restaurant will earn higher revenue, show your steps?