Solve the following transportation model by: a- North -West Corner (NWC) Method. b- Vogel Approximation Method (VAM). And find the associated objective value (TC for each method) Di D1 D2 D3 D4 Supply 10 5 7 180 2 8 S2 100 1 4 S3 220 500 Demand 100 150 70 180 500 3. 3.
Q: Y Сарacity A 4 3 100 8. 4 300 C 9 7 5 300 Demand 300 200 200 3. B
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- 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 10 120 140,000City 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.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?
- 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.The chairperson of the department of management at Tech wants to forecast the number of students who will enroll in operations management next semester in order to determine how many sections to schedule. The chair has accumulated the following enrollment data for the past 15 semesters: Using Exponential Smoothing with (α = 0.6) compute the forecasted number of student for semester 16 Semester Students Enrolled in OM 1 270 2 310 3 250 4 290 5 370 6 410 7 410 8 450 9 440 10 470 11 525 12 515 13 538 14 544 15 504Scenario Two: Joe’s Taco Hut has a very successful lunch restaurant business in downtown Tulsa, OK. Lately, Joe has been considering adding a delivery component to his business that would offer delivery within 5 miles of his downtown location during the lunch business hours (11a.m. – 2:00p.m.) Joe wants to conduct market research within his restaurant among his existing customers to see if they would use delivery service during his lunch hours. Write 4 questions using an Ordinal Scale that Joe could use for an in-restaurant survey:
- The County Transportation Department needs to determine usage factors by day of the week for a popular toll bridge connecting different parts of the city. In the current study, they are considering only working days. Suppose that the numbers of cars using the bridge each working day over the past four weeks were (in thousands of cars) Find the seasonal factors corresponding to daily usage of the bridge.BETTER PRODUCTS COMPANY has decided to start manufacturing four new products in three plants that currently have excess production capacity. The products require comparable production effort per unit, so the available production capacity in the plants is measured by the number of units of any product that can be manufactured per day. a)Formulate this problem as a transportation problem by constructing the appropriate parameter table. I already have an optimal solution (it's from the book). (I dont understand)-------------------------------------------------------------------------OPTIMAL SOLUTION:It has basic variables (assignments) X₁₂ = 30, X₁₃ = 30, X₁₅ = 15, X₂₄ = 15, X₂₅ = 60, X₃₁ = 20 and X₃₄ = 25, so that: Plant 1 produces all of products 2 and 3.Plant 2 produces 37.5% of product 4.Plant 3 produces 62.5% of product 4 and all of product 1. The total cost of Z = $3 260 per day.-------------------------------------------------------------------------Instructions:Please explain this…High-Low Method for a Service Company Boston Railroad decided to use the high-low method and operating data from the past six months to estimate the fixed and variable components of transportation costs. The activity base used by Boston Railroad is a measure of railroad operating activity, termed “gross-ton miles,” which is the total number of tons multiplied by the miles moved. Transportation Costs Gross-Ton Miles January $1,245,000 332,000 February 1,388,100 371,000 March 981,000 240,000 April 1,330,800 359,000 May 1,116,200 289,000 June 1,431,000 390,000 Determine the variable cost per gross-ton mile and the total fixed cost. Variable cost (If required, round to two decimal places.) $fill in the blank 1 per gross-ton mile Total fixed cost $fill in the blank 2
- BETTER PRODUCTS COMPANY has decided to start manufacturing four new products in three plants that currently have excess production capacity. The products require comparable production effort per unit, so the available production capacity in the plants is measured by the number of units of any product that can be manufactured per day. a)Formulate this problem as a transportation problem by constructing the appropriate parameter table. I already have an optimal solution (it's from the book). (I dont understand)-------------------------------------------------------------------------OPTIMAL SOLUTION:It has basic variables (assignments) X₁₂ = 30, X₁₃ = 30, X₁₅ = 15, X₂₄ = 15, X₂₅ = 60, X₃₁ = 20 and X₃₄ = 25, so that: Plant 1 produces all of products 2 and 3.Plant 2 produces 37.5% of product 4.Plant 3 produces 62.5% of product 4 and all of product 1. The total cost of Z = $3 260 per day.-------------------------------------------------------------------------Instructions:Please explain this…Which method is most suitable for solving Transportations problemAs 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.).