Find the initial basic feasible solution by (i) north west corner rule (ii) lowest cost entry method (iii) Vogel's approximation method of the following transportation problem: RIOTYVAS ap R1 R2 R3 R4 Requirement Z1 5 3 6 4 21 Z2 1 3 4 1 25 Z3 3 5 4 4 17 Z4 3 4 3 2 17 Capacity 34 15 12 19 80
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- KOOKABOORA CONTAINER CORPORATION (From Business Organization and Management – Dr. Roberto Medina) When the Clark Special Economic Zone in Pampanga opened its gates for investors in light and medium industries, the Kookaboora Container Corporation (KCC) was among the first ten companies to locate in the zones’s premises. KCC manufactures containers of various shapes and sizes which are used by manufacturers of industrial chemicals, food products, cooking oil, motor oil and others. The production department of KCC is headed by Engr. Nicolas, a licensed mechanical engineer. He is a tickler for discipline. When even small mistakes happen in his department, he personally calls the offending employee and metes appropriate penalty. As a result, his department was judged best in efficiency. Very minimal wastage in materials and time were recorded by the department. Under the direct supervision of Engr. Nicolas are 10 supervisors who are graduates of engineering courses and…A farmers' cooperative association plans to build a new sugar mill in Georgetown. Theprimary objective of the mill is to provide the farmers with a place to take their crop forprocessing that will reduce their transportation costs. The members of the co-op believe thatthe center-of-gravity method is appropriate for this objective. While there are over 200 sugarcane farms in the region, they are tightly clustered around six villages. Using the data below,use the center-of-gravity method to calculate the coordinates of the best location for this mill.All mileage references use Browns Town as (0,0).VillageMiles East ofBrowns TownMiles North ofBrowns TownSugar CanetonnageBarney Valley 90 10 240,000Blue Pasture 140 60 320,000Congo Valley 20 70 450,000Bower 50 20 120,000Rabacca 100 80 60,000Salem 10 120 140,000A paint company has three sources for buying bright red pigment for its paints: Vietnam, Taiwan, and Thailand. Unfortunately, the pigment is made from a bush whose annual growth is heavily dependent upon the amount of rainfall during the growing season. The following tables show probabilities and prices for wet, dry, and normal growing seasons. Probabilities Wet Dry Normal Vietnam 0.5 0.2 Taiwan 0.6 0.3 Thailand 0.4 0.4 Price/Pound ($) Vietnam 0.96 1.11 Taiwan 0.86 1.25 Wet Dry Normal Thailand 0.92 1.19 0.3 What country shoul the company select? Thailand Taiwan Vietnam 0.1 0.2 1.05 0.99 1.06 What is the expected value (price) associated with it?
- As part of Amazon logistics analytics team, you are tasked with creating a new algorithm that optimizes package deliveries in NYC. Specifically, your goal is to predict how many Amazon's own delivery vehicles (i.e. not UPS/USPS/FedEx) Amazon will need to send to streets of NYC on any given day. Explain which factors you might consider including in your prediction model and why. Suggested options include shipping costs for customers (1day/2day/5day), number of warehouses in the area (affects distance driven by vehicles), pick-up options such as Amazon Lockers in Whole Foods stores, number of deliveries fulfilled by UPS (as opposed to Amazon's own fleet), all kinds of traffic fees (tolls/parking fees/etc.).Please show solution and formula used. Assuming the total number of students studying in the top four universities in the Philippines is approximately 158,000. And the distribution is as follows: University of the Philippines (UP) - 40% of the total number Ateneo de Manila University (ADMU) - 23,700 De La Salle University (DLSU) - 25% of the total number University of Santo Tomas - 20% of the total number And only the following number of students owns a tablet computer: 20% of UP students 85% of ADMU students 90% of DLSU students 85% of UST students What is the total market penetration of tablet computers among the students of the top four universities? What is the total market size of tablet computers in the top four universities?List the assumptions of the gravity model and how to overcome its limitations
- City government has collected the following data on annual sales tax collections and new car registrations: Annual Sales Tax Collections (in millions) 1.0 1.4 1.9 2.0 1.8 2.1 2.3 2.5 New Car Registrations (in millions) 10 12 15 16 14 17 20 22 Determine the following: Plot these data and decide if a linear model is reasonable. Using the results of part a., find the estimated sales tax collections if new car registrations total 25,000,000.Mark Ewing has decided to enter contract with uber service provider in his area. The driver offers a car variety of mileage or distance to be travelled to him. All contracts were to be signed for three years. The first option has a monthly rent of P3,000, with a total mileage allowance of 36,000 kilometers (an average of 12,000 kilometers per year) and a cost of P35 per kilometer for any kilometers over 36,000. The following table summarizes each of the Uber Service Contract offered to him: 3-Year Contract Monthly Cost Mileage Allowance Cost Per Excess Kilometer Option A P3,000 30,000 P 35 Option B P3,500 45,000 P 25 Option C P4,000 54,000 P 15 Mark has estimated that, during the 3 years of the agreement, there is a 40% chance he will drive an average of 12,000 kilometers per year, a 30% chance he will drive an average of 15,000 miles per year, and a 30% chance that he will drive 18,000 miles per year. In evaluating the options, Mark would…Long-Life Insurance has developed a linear model that it uses to determine the amount of term life insurance a family of four should have, based on the current age of the head of the household. The equation is:y = 850 − .1xwherey = Insurance needed ($000)x = Current age of head of household a. Plot the relationship on a graph. b. Use the equation to determine the amount of term life insurance to recommend for a family of four if the head of the household is 30 years old.
- Dr. Lillian Fok, a New Orleans psychologist, specializes in treating patients who are agoraphobic (i.e., afraid to leave their homes). The following table indicates how many patients Dr. Fok has seen each year for the past 10 years. It also indicates what the robbery rate was in New Orleans during the same year: F2 Calculator Ask my instructor where y Dependent Variable and x = Independent Variable. 13 3 # 80 F3 $ The simple linear regression equation that shows the best relationship between the number of patients and year is (round your responses to three decimal places): y = + x 4 888 F4 Year Number of Patients Robbery Rate per 1,000 Population % 5 F5 6 2 1 36 34 58.0 60.6 73.4 76.1 78.5 89.0 F6 MacBook Air 3 40 & 7 4 42 Ad F7 5 42 * 0 8 6 54 DII F8 7 8 9 58 54 57 101.1 94.2 103.2 ( 9 DD F9 ) 0 O 10 60 117.2 4 F10 0 Clear all (7) F11 + = Check answer F12 delMaximize 8x + 9y Subject to -- x + 2 y 0 a) Solve using simplex methodA rice importer has three sources: Thailand, Vietnam, and China. Unfortunately, the annual amount of rice harvested is heavily dependent upon the amount of rainfall during the growing season. The tables below show probabilities and prices for wet, dry, and normal growing seasons. Rice is sold in tons. PROBABILITIES Wet Dry Normal Thailand 0.5 0.2 0.3 Vietnam 0.6 0.3 0.1 China 0.4 0.4 0.2 Price per Pound ($) Wet Dry Normal Thailand 0.95 1.10 1.00 Vietnam 0.85 1.20 0.98 China 0.90 1.15 1.05 This is a maximization problem. True or False?
