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- 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=150 -0.10x where y= Insurance needed ($000) x = Current age of head of household b. Use the equation to determine the amount of term life Insurance to recommend for a family of four of the head of the household is 40 years old. (Round your answer to 2 decimal places.) Amount of term life insurance thousandsA person starting in Columbus must visit Great Falls, Odessa, and Brownsville, and then return home to Columbus in one car trip. The road mileage between the cities is shown. Columbus Great Falls Odessa Brownsville Columbus --- 102 79 56 Great Falls 102 --- 47 69 Odessa 79 47 --- 72 Brownsville 56 69 72 --- a)Draw a weighted graph that represents this problem in the space below. Use the first letter of the city when labeling each b) Find the weight (distance) of the Hamiltonian circuit formed using the nearest neighbor algorithm. Give the vertices in the circuit in the order they are visited in the circuit as well as the total weight (distance) of the circuit.The High-Price Oil Company owns a pipeline network that is used to convey oil from its source to several storage locations. A portion of the network is as follows: Due to the varying pipe sizes, the flow capacities vary. By selectively opening and closing sections of the pipeline network, the firm can supply any of the storage locations. a. If the firm wants to fully utilize the system capacity to supply storage location 7, how long will it take to satisfy a location 7 demand of 100,000 gallons? What is the maximal flow for this pipeline system? b. If a break occurs on line 2–3 and that line is closed down, what is the maximal flow for the system? How long will it take to transmit 100,000 gallons to location 7?
- PT Ceria wants to assign its flagship manager to five offices located in five different countries that are currently experiencing problems. The five countries are Singapore, Japan, philippines, Hongkong and Vietnam. However, before being sent, each manager was tested on their estimated ability to resolve problems in each country, and as a result of these tests obtained data on the amount of time (days) each manager needed to resolve the issue in each country, which is described in the table below. Singapore Japan Philiphines Hongkong Vietnam Abi 18 26 16 18 11 Adi 15 21 8 20 13 Ali 46 18 9 15 17 Ami 12 15 10 8 14 Ani 16 20 13 9 46 Based on the data above, what assignment should the company make if the company intends to minimize the number of days it takes to resolve the problem in all five countries? Analyze your answers!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?The Hamilton County Local Government has eight sectors which need fire protection. Adequate Fire protection can be provided in each sector either by building a fire station in that sector, or by building a fire station in another sector which is no more than a 12-minute drive away. The time to drive between the centers of each pair of sectors is given in the following table. (Because of one-way streets and left turns the times are not symmetric.) The cost to build a fire station is the same in each sector. Formulate an integer programming model to choose which sectors should have their own fire station. Solve the model by using Excel Solver.
- RVW (Restored Volkswagens) buys 15 used VW's at each of two car auctions each week held at different locations. It then transports the cars to repair shops it contracts with. When they are restored to RVW's specifications, RVW sells 10 to each of three different used car lots. There are various costs associated with the average purchase and transportation prices from each auction to each repair shop. Also there are costs associated with average repair expenses and transportation costs from the repair shops to the used car lots. RVW is concerned with minimizing its total cost. Given the costs below, determine a minimum total cost schedule for RVW. Repair Shops Used Car Lots si S2 L1 L2 L3 Auction 1 550 500 s1 250 300 500 Auction 2 600 450 S2 350 650 450A transport company engaged in carying parcels has three branches to serve five customers. This distance (km) from each branch to each of the customers is given below: Branches Customers Number of C trucks available I 10 12 6. 15 II 4. 4. 6. 6. 7. 12 III 15 7. 11 13 8. 16 Number of 4. 6. trucks required i. Find out using Vogel's Approximation Method (VAM) the allocation of trucks from branches to customers in order to minimize the total cost of transportation assuming that the cost is proportional to distance. What is the minimum required distance (km) to be run by the trucks? i. If an amival of a V.V.I.P. blocks the traffic from branch II to customers D and E, what should be the optimal allocation in order to minimize the total transportation cost? 111. 8.If a "Prisoner’s Dilemma" type of game is played repeatedly for a given number of finite periods that is known to each player, players can maintain cooperation throughout the game. true or false? Solve this Economic
- In problems involving maximization and minimization, what is the objective function? States intended outcome in equation form Incorporates constraint of maximum budget Lists set of potential restrictions on the solution Cites constraints to ensure objectivityCompanies A, B, and C supply components to three plants (F, G, and H) via two crossdocking facilities (D and E). It costs $4 to ship from D regardless of final destination and $3 to ship to E regardless of supplier. Shipping to D from A, B, and C costs $3, $4, and $5, respectively, and shipping from E to F, G, and H costs $10, $9, and $8, respectively. Suppliers A, B, and C can provide 200, 300 and 500 units respectively and plants F, G, and H need 350, 450, and 200 units respectively. Crossdock facilities D and E can handle 600 and 700 units, respectively. Logistics Manager, Aretha Franklin, had previously used "Chain of Fools" as her supply chain consulting company, but now turns to you for some solid advice. What is the objective function? Group of answer choices Max Z = $3AD + $3AE + $4BD + $3BE + $5CD + $3CE + $4DF + $4DG + $4DH + $10EF + $9EG + $8EH Min Z = $3AD + $3AE + $4BD + $3BE + $5CD + $3CE + $4DF + $4DG + $4DH + $10EF + $9EG + $8EH Min Z = $3AD + $3BE + $5CD + $3CE…Companies A, B, and C supply components to three plants (F, G, and H) via two crossdocking facilities (D and E). It costs $4 to ship from D regardless of final destination and $3 to ship to E regardless of supplier. Shipping to D from A, B, and C costs $3, $4, and $5, respectively, and shipping from E to F, G, and H costs $10, $9, and $8, respectively. Suppliers A, B, and C can provide 200, 300 and 500 units respectively and plants F, G, and H need 350, 450, and 200 units respectively. Crossdock facilities D and E can handle 600 and 700 units, respectively. Logistics Manager, Aretha Franklin, had previously used "Chain of Fools" as her supply chain consulting company, but now turns to you for some solid advice. Set up the solution in Excel and solve with Solver. What are total costs?