Question 3 a) UNIMAS has four campuses, and the following table shows the enrolment at the four campuses. The university has decided to allocate a total of 120 new computers to the campuses based on student enrolment. Use Hamilton's Method to apportion the computers. Campus Campus A (Kuala Lumpur) Campus B (Samarahan) Campus C (Bintulu) Campus D (Miri) Enrolment 1,840 7,510 3,980 5,870 b) Suppose UNIMAS opens a Campus E (Sibu) in a newly developed area. The enrolment at the new campus is 2,640 students. The total number of computers is increased to 130 computers.
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- Determine the number of ways in which a distributorcan choose 2 of 15 warehouses to ship a large order.A family has two cars. The first car has a fuel efficiency of 16 kilometers per liter of gas and the second has a fuel efficiency of 18 kilometers per liter of gas. During one particular week, the two cars went a combined total of 3150 kilometers, for a total gas consumption of 190 liters. How many liters were consumed by each of the two cars that week? Note that the ALEKS graphing calculator can be used to make computations easier. First car: liters ? Second car:|litersMonroe County is trying to determine where to place the county fire station. The locations of the county’s four major towns are as follows: (10, 20), (60, 20), (40, 30), and (80, 60) (see Figure 7.50). Town 1 averages 40 fires per year; town 2, 25 fires; town 3, 20 fires; and town 4, 30 fires. The county wants to build the fire station in a location that minimizes the average distance that a fire engine must travel to respond to a fire. Because most roads run in either an east-west or a north-south direction, the fire engine must do the same. For example, if the fire station is located at (30, 40) and a fire occurs at town 4, the fire engine has to travel |80 - 30| + |60 - 40| = 70 miles to the fire. a. Determine where the fire station should be located. Round your answers to three decimal places. X Y Location of fire station
- Newcor’s steel mill has received an order for 25 tonsof steel. The steel must be 5% carbon and 5% molybdenumby weight. The steel is manufactured by combining threetypes of metal: steel ingots, scrap steel, and alloys. Foursteel ingots are available for purchase. The weight (in tons),cost per ton, carbon and molybdenum content of each ingotare given in Table 97.Three types of alloys can be purchased. The cost per tonand chemical makeup of each alloy are given in Table 98.Steel scrap may be purchased at a cost of $100 per ton.Steel scrap contains 3% carbon and 9% molybdenum.Formulate a mixed integer programming problem whosesolution will tell Newcor how to minimize the cost of fillingtheir order.Monroe County is trying to determine where to place the county fire station. The locations of the county’s four major towns are as follows: (10, 20), (60, 20), (40, 30), and (80, 60) (see Figure 7.50). Town 1 averages 40 fires per year; town 2, 25 fires; town3, 20 fires; and town 4, 30 fires. The county wants to build the fire station in a location that minimizes the average distance that a fire engine must travel to respond to a fire. Because most roads run in either an east-west or a north-south direction, the fire engine must do the same. For example, if the fire station islocated at (30, 40) and a fire occurs at town 4, the fire engine has to travel *80 2 30* 1 * 60 2 40* 5 70 miles to the fire. a. Determine where the fire station should be located.b. Use SolverTable to see how the optimal location of the fire station changes as the number of fires at town 3 changes.On the hard copy of "Quiz for Section 8.2 you are provided with a map with the following numbers. Region 1 has 1000 Republicans and 1200 Democrats Region 2 has 3400 Republicans and 4900 Democrats. Region 3 has 4000 Republicans and 3900 Democrats. Region 4 has 1100 Republicans and 1000 Democrats. The First District consists of Regions 1 and 2: the Second District consists of Regions 3 and 4. The First District has a total of voters, and the Second District has a total of voters. The First District will choose a Democrats with votes for the Democrats while the Second District will choose a Republican with votes for the Republicans,
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- The Ancient Murrelet is a plucky little bird of the auk family that lives in colonies on islands off the northern Pacific coasts of Russia, Alaska and Canada. Half of the world population breeds on the islands of Haida Gwaii, British Columbia. Since these birds lay their eggs in burrows on the forest floor, the nestlings are highly susceptible to predation. Their populations have been greatly reduced over the past century by mammalian predators (deer, raccoons, rats) introduced to their breeding islands after contact was established between the Haida people and outsiders. Conservation efforts have only recently been undertaken. A multi-year population study on one island, now closed to human visitors, has produced the following function that describes the observable decline: P(t) = 5-√√2t+4 where P(t) is the island population in thousands and t is the time in years since January 1, 2008, when the study was started. The goal is to graph and interpret this function in this problem…If 15 TVs are pulled from an assembly line and 2 fail, how many would be expected to fail when 1,500 TVs go to market?its all in one question