The company has four excavators, located one each, at each of its four facilities. The excavators have to be moved to four different construction sites. The distance each excavator has to travel to get to each of the four construction sites are shown in kilometres in the table below. EXCAVATOR 1 2 3 4 FL 95 40 130 50 IN 80 90 100 115 NJ 75 60 95 100 TX 85 70 110 120 Which site should each excavator be assigned to in order to MINIMIZE the total distance travelled?
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- How to get an equation, graph it, and solve it?A truck driver has to deliver a load of lumber to oneof two construction sites, which are, respectively, 27 and 33 miles from the lumberyard, but he has misplaced theorder telling him where the load of lumber should go. The two construction sites are 12 miles apart, and, to compli-cate matters, the telephone at the lumberyard is out of order. Where should he go first if he wants to minimizethe distance he can expect to drive and he feels that(a) the odds are 5 to 1 that the lumber should go to theconstruction site that is 33 miles from the lumberyard;(b) the odds are 2 to 1 that the lumber should go to theconstruction site that is 33 miles from the lumberyard;(c) the odds are 3 to 1 that the lumber should go to theconstruction site that is 33 milesUsing the grid technique to determine the least-cost location (warehouse) for this problem: Tons Rate X - Coordinates Y – Coordinates S1 200 0.5 2 14 S2 300 0.6 6 10 M1 100 1 2 2 M2 100 2 10 14 M3 100 1 14 18 M4 100 2 14 6 The Grid center coordination is ____ and _____ (round the results to 1 decimal place) Group of answer choices (9.9; 7.8) (5.5; 6.9) (8.7; 10.5) (10.5; 6.4) (9.9; 8.9)
- A health Centre will be built to serve 7 communities. The geographical location of the communities and their population is shown in the table below. Communities A, X =2.5 (km), Y=4.5(km), Population( 000's)=2 Communities B, X =2.5 (km), Y=2.5(km), Population( 000's)=5 Communities C, X =5.5 (km), Y=4.5(km), Population( 000's)=10 Communities D, X =5 (km), Y=2(km), Population( 000's)=7 Communities E, X =8 (km), Y=5(km), Population( 000's)=10 Communities F, X =7 (km), Y=2(km), Population( 000's)=20 Communities G, X =9 (km), Y=2.5(km), Population( 000's)=14 There is a possibility of building the Centre in two communities, community C and F. Based on the Demand-Distance criterion what is your recommendation for the site of the Centre. The distances to be measured based on Rectilinear method. Based on…HMO has 40 doctors to be apportioned among four clinics. The HMO decides to apportion the doctors based on the average weekly patient load for each clinic, given in the following table. Clinic A B C D Average Weekly 275 392 611 724 Patient Load Find the apportion of A and C using using Adam's Method. Use modified divisor 52. Doctors for clinic A Doctors for clinic B = %3D Doctors for clinic C= Doctors for clinic D =ChocoTown has a 4,000 square foot outlet store that serves five major customer regions, denoted A, B, C, D and E. The locations of the points representing the customer regions and their weekly demands are shown in the table below. The ChocoTown outlet store is at location (10,20). Customer Region Location Demand ($/week) A (0,10) 4,000 B (0,20) 2,000 C (20,0) 4,000 D (30,20) 3,000 E (40,10) 2,000 CandyTime is a new competitor of ChocoTown and they are considering opening a 4,000 square foot store at location (30,10). Assume the travel time from location i to j in minutes equals the straight line distance from i to j. a) Use the spatial interaction model to estimate the demand that would be captured by the new CandyTime store. Demand captured by CandyTime = ___________ b) Suppose the CandyTime store is located at (30,10), but it is not 4,000 square feet. Use the spatial interaction model to find the size in square feet for…
- a. A farmers' cooperative association plans to build a new sugar mill in Georgetown. The primary objective of the mill is to provide the farmers with a place to take their crop for processing that will reduce their transportation costs. The members of the co-op believe that the center-of-gravity method is appropriate for this objective. While there are over 200 sugar cane 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). Village Barney Valley Blue Pasture Congo Valley Bower Rabacca Salem Miles East of Miles North of Sugar Cane Browns Town Browns Town 90 140 20 50 100 10 10 60 70 20 80 120 tonnage 240,000 320,000 450,000 120,000 60,000 140,000The metes and bounds system primarily relies on which of the following to describe land? section, lot, and block numbers within a subdivision a readily identifiable point of beginning and the boundaries of a property in terms of distances and compass directions checks, correction lines, and tiers meridians, base lines, townships, and ranges(Use output ranges of 2000, 4000, 6000, 8000 etc. and intervals of $50,000 on the Y axis. Output X Location A Location B Location B Location D 2 000 120 000 120 000 130 000 150 000 4 000 180 000 160 000 160 000 170 000 6 000 240 000 200 000 190 000 190 000 8 000 300 000 240 000 220 000 210 000 10 000 360,000 280 000 250 000 230 000 12 000 420 000 320 000 280 000 250 000 14 000 480,000 360 000 310,000 270 000 16 000 540 000 400 000 340 000 290 000 18 000 600 000 440 000 370 000 310 000 20 000 660 000 480 000 400 000 330 000 Over what range of output is location A the most preferred location? 2. Over what range of output is location B the most preferred location? 3.Over what range of output is location C the most preferred location?
- 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…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…3.Silicon Valley Transport Commission (SVTC) has a fleet of maintenance vehicles that includes cars, vans, and trucks. SVTC is currently evaluating four different approaches to help them maintain their fleet of cars and vans efficiently at the lowest possible cost. Their options are: (1) No preventive maintenance at all and repair vehicle components when they fail; (2) Take oil samples at regular intervals and perform whatever preventive maintenance is indicated by the oil analysis; (3) Perform an oil change on a regular basis on each vehicle and perform repairs when needed; (4) perform oil changes at regular intervals, take oil samples regularly, and perform maintenance repairs as indicated by the sample analysis. Option #1 costs nothing to implement and results in two possible outcomes: There is a .10 probability that a defective component will occur, requiring emergency maintenance at a cost of $1,200, or there is a chance that no defects will occur and no maintenance will be…