Grave City is considering the relocation of several police substations to obtain better enforcement in high-crime areas. The locations under consideration together with the areas that can be covered from these locations are given in the following table: a) Formulate an integer programming model that could be used to find the minimum number of locations necessary to provide coverage to all areas. b) Solve the problem in part (a).
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Grave City is considering the relocation of several police substations to obtain better enforcement in
high-crime areas. The locations under consideration together with the areas that can be covered from
these locations are given in the following table:
a) Formulate an integer programming model that could be used to find the minimum number of
locations necessary to provide coverage to all areas.
b) Solve the problem in part (a).
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- Problem 7-09 (Algorithmic) Hawkins Manufacturing Company produces connecting rods for 4- and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $1,400, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,100. Manufacturing costs are $15 for each 4-cylinder connecting rod and $18 for each 6-cylinder connecting rod. Hawkins makes a decision at the end of each week as to which product will be manufactured the following week. If a production changeover is necessary from one week to the next, the weekend is used to reconfigure the production line. Once the line has been set up, the weekly production capacities are 6,500 6-cylinder connecting rods and 8,200 4-cylinder connecting rods. Let X4 = the number of 4-cylinder connecting rods produced next week X6 = the number of 6-cylinder connecting rods produced next week S4= 1 if the production line is…php?attempt=104149&cmid%330865 aline Services v OS Ticket system My Dispense Academic Calendar N My courses 3) v Q b) Calculate the weighted moving average for periods 7 through 10 using weights of 0.6, 0.3, and 0.1. n Lo S : Cha Weighted moving Period Actual average 1 64 2 84 3 91 4 97 115 6. 135 7. 137 8. 144 6. 153 10 171 beriods 7 through 10. Use 5.1. Cars are shipped from three distribution centre's to five dealers. The following table summarizes the mileage between the distribution center's and the dealers together with the monthly supply. Dealer 1 3 4 Supply 1 38 Center 2 3 4 19 3 4 4 16 4 4 9. 4 6. 23 Demand 25 29 21 | 21 a) Find the Initial basic feasible solution using any of the three methods. b) Check the Optimum solution using UV method.
- 4. Spears Rowbuck has recorded the following sales figures. Calculate the seasonal indices for Thursday and Friday. Week 1 Week 2 Week 3 Week 4 Monday 43 51 40 66.0 Tuesday 45 41 57 58.6 Wednesday 22 37 30 34.7 Thursday 25 22 33 36.7 Friday 31 25 37 25.0 a. Thursday = 29.18, Friday = 29.50 b. Thursday = 0.2074, Friday = 1.1632 c. None of the other options. d. Thursday = 0.7678, Friday = 0.7763 e. Thursday = 0.6142, Friday = 0.6211Percentage Service Provided toDepartment Cost S1 S2 P1 P2Service 1 (S1) $ 112,000 0% 40% 40% 20%Service 2 (S2) 44,000 20 0 40 40Production 1 (P1) 345,000Production 2 (P2) 216,000Total $ 717,000Brief Exercises 7-15 and 7-16 require the following information:7-15 What percentage of S1’s costs is allocated to P1 and to P2 under the direct method?7-16 What percentage of S2’s costs is allocated to P1 and to P2 under the direct method?Judd 57 Joel Gus Tim $3 2. 1 $5 $2 First film Second film Third film Fourth film Fifth film 1. 0. 0. 5. 2. 1 a. Within the dorm room, is Ux showing of a movie a public good? Why or why not? b. W itcosts S5 to rent a movic how many movies should the mommates rent to maximize tothl surplus? c. li they choose the optimal number from part (b)and then split the cost of renting the movies equally, how much surplus does.cach person obtain from wakhing the me d. s there any way tospl ost.tormsre that everyone benefits? What practical problems does this solution reise? Suppose they agmeinarancetochoxxe the efficient number and to split the cosr of the movies equally. When fudd is asked his wiling ness to pay, will he have an incentive to toll the Iruth? If so, why? f not. what will he he tempted (1అ) బ* E What does this example teach you abou the optimal provision of public goods? yol public gods?
- 4. In the past, Peter Kelle's tire dealership in Baton Rouge sold an average of 1,100 radials each year. In the past 2 years, 220 and 250, respectively were sold in fall, 360 and 300 in winter, 150 and 160 in spring, and 320 and 440 in summer. With a major expansion planned, Kelle projects sales next year to increase to 1,300 radials. Part 2 Based on next year's projected sales, the demand for each season is going to be (enter your responses as whole numbers): Season Demand Fall __________Q. Cypress River Landscape Supply is a large wholesale supplier of landscaping materials in Georgia. Cypress River's sales vary seasonally; sales tend to be higher in the spring months than in other months.a. Suppose Cypress River estimates a linear trend without accounting for this seasonal variation. What effect would this omission have on the estimated sales trend?b. Alternatively, suppose there is, in fact, no seasonal pattern to sales, and the trend line is estimated using dummy variables to account for seasonality. What effect would this have on estimation? Thank you for providing answer.Answer using irac method Question 3 The Unemployment Program of the Government of Guava Land has several offices throughout the country, ten (10) to be specific. At these offices, all the administrative matters of the Program are administered, inclusive of payments to suppliers, payroll and Information Technology services. There are several assets and confidential data on each compound such as computer equipment, filing cabinets, personal data and several pieces of furniture. Within recent times, there were numerous burglaries’ at a number of locations, which resulted in the loss of two million dollars’ worth in items. The Police are currently undertaking an investigation to catch the culprits. The Minister, who is responsible for the Program, has mandated the Program to procure security services for one year at each location. After a highly competitive procurement process, Big Trouble Security Services secured the contract to provide security services at all the locations.…
- elbtronics Firmware Engineer Campus 2024 Y 1. Analytical Ability and Problem... Question 8 2 5 6 1 B Attempted 6710 Revisit Later Select an opti A jeweller uses different coloured beads to make a necklace. He first threads five beads of different colours and places them in a line before tying a knot to make the necklace. The red bead is to the immediate right of the blue one. The blue bead is not adjacent to the yellow bead. The green bead is to the immediate left of the pink bead and is at one end of the string. Which bead is to the immediate night of the pink bead?QUESTION 1The table below shows the sales figures for a brand of shoe over the last 12 months.Months SalesJanuary 69February 75March 86April 92May 95June 100July 108August 115September 125October 131November 140December 150 a. Using the following, forecast the sales for the months up to January the following year:-i. A simple three month moving averageExhibit 1. Solver Sensitivity Report. A В E F H 6 Variable Cells 7 Final Reduced Objective Allowable Allowable 8 Cell Name Value Cost Coefficient Increase Decrease $B$25 kg x1 $C$25 kg x2 9. 8. 300 200 300 10 4 500 1E+30 200 11 12 Constraints 13 Final Shadow Constraint Allowable Allowable 14 Cell Name Value Price R.H. Side Increase Decrease 15 ŞE$20 N 1320 600 720 1E+30 16 $E$21 P 1080 3.333333333 1080 1E+30 432 17 SE$22 K 60 13.33333333 60 90 60 Referring to Exhibit 1, if the right-hand side of the K constraint changes to 30, then the objective function value: will decrease by 13.3333 will decrease by 400. O will decrease by 133.3333. O will remain the same.