For each iteration tableau, clearly mark: U₁, Vj values, C₁j + or negative values, the loop, the entering BV, the leaving BV. At the end of each iteration, also write out clearly what the new BF solution, and the new obiection value.
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- solve for y in part bDefine the term constraint.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 10 120 140,000
- 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?Using 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)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.
- LM.91 XYZ Company is rethinking the way it ships to its 74 customers in another city 222 miles away. Current Shipping/Delivery Method They currently hire an LTL (less-than-truckload) carrier to pick up and deliver these shipments. Each customer order shipped via LTL carrier costs $126. Alternate Shipping/Delivery Method A 3PL (third-party logistics provider) has approached XYZ Company and suggested that they make full truckload (TL) shipments from their facility to the 3PL's warehouse in the customers' city. The 3PL would then break the bulk shipment (TL or truckload shipment) into individual customer orders to be shipped locally by an LTL carrier. The relative data for this alternate shipping method are as follows: • Full TL shipment cost (222 miles) = $740 Average weight per customer order = 500 Ibs. • Warehouse break-bulk fee (per 100 lbs., a.k.a. per "hundred weight") = $13 • Local LTL delivery fee (per customer order) = $38 What is the total cost of delivering to all customers via…Suppose the following costs for a 10-hour round-trip flight apply to the time frame and expenses of an unscheduled 5-hour charter flight from Baltimore to Las Vegas (and return the next day) on a seven-year-old Boeing 737–800 with 120 occupied seats. Some costs listed in the table have been aggregated up to the flight level from a seat-level decision where they are incurred. Others have been allocated down to the flight level from an entry/exit or maintain-ownership company-level decision. Still other costs vary with the go/no go flight-level decision itself. Your job is to analyze each cost item and figure out the “behavior of cost”—that is, with which decision each cost varies. Fuel and landing fees =$5,200 Quarterly airframe maintenance re: FAA certificate = $1,000 Unscheduled engine maintenance per 10 flight hours =$1,200 Pro rata time depreciation for seventh year of airframe = $7,200 Flight pay for pilots per round-trip flight = $4,200 Long-term hangar facility lease = $6,600…eBook Problem 10-31 A long-distance telephone company uses a fiber-optic network to transmit phone calls and other information between locations. Calls are carried through cable lines and switching nodes. A portion of the company's transmission network is shown here. The numbers above each arc show the capacity in thousands of messages that can be transmitted over that branch of the network. To keep up with the volume of information transmitted between origin and destination points, use the network to determine the maximum number of messages that may be sent from a city located at node 1 to a oty located at node 7. 3 Maximum number of messages -
- Explain how to determine the number of variables and constraints that would be in a transportation problem simplyby knowing the number of sources and the number of destinations.Consider the transportation problem having the following data: c) write the algebraic formulation of this problem.3. Consider the transportation problem having the following parameter table: Source Demand Source 1 Source 2 650 Source 3 400 1 2 3 Destination 1 Destination 2 500 750 Demand 10 Vj Assume we have obtained an initial BF solution from northwest corner method, it is: X11 = 10, X12 = 2, X22 = 8, X23 = 9, So the initial transportation simplex tableau looks like below. (Boxed values are cost values, X33 = 1, X34 = 10 circled values are basic variable values.) V₁ = Destination 2 750 800 700 10 1 500 650 400 10 10 800 700 10 ܠ ܕܐ 2 3 300 400 500 10 8 400 500 Destination 3 Destination 4 300 450 10 4 450 600 550 10 9 1 600 Supply 12 550 10 V₁ = 17 11 (10 Supply 12 17 11 Ui U₁² 0 = U₂ = Uz = Do the optimality test (by finding out all u₁, v₁, and čij values, fill all these values in the above table) to determine if the current solution is optimal or not.