(a) Write down LP model and clearly define the decision variables, the objective function, and constraints. (b) Solve the LP model using the graphical method. (c) Provide a justification on why the divisibility assumption holds for the problem.
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- Problem 5-1 (Algo) Determine the utilization and efficiency for each of the following situations. a. A loan processing operation that processes an average of 7 loans per day. The operation has a design capacity of 13 loans per day and an effective capacity of 8 loans per day. (Round your answer to 1 decimal place.) b. A furnace repair team that services an average of 2 furnaces a day if the design capacity is 10 furnaces a day and the effective capacity is 6 furnaces a day. (Round your answer to 1 decimal place.) c. Would you say that systems that have higher efficiency ratios than other systems will always have higher utilization ratios than those other systems?section (A) Mutiple choice question has 2 options which is the best least option or the number of miles driven. for the 1st and 3rd part of this section and the second and fourth part potential solutions are 2,3,4, 9,? Section (C) potential solutions are Dealer A, Dealer B, Dealer C, Dealer A or B, Dealer A or C, Dealer B or C NEED FULLY CORRECT SOLUTION FOR THIS. ASAP!!!PROBLEM 3 Magasin Publishing Company publishes two types of magazines on a monthly basis: a restaurant and entertainment guide and a real estate guide. The company distributes the magazines free to businesses, hotels, and stores on Zamboanga City. The company’s profits come exclusively from the paid advertising in the magazines. Each of the restaurant and entertainment guides distributed generates P50 per magazine in advertising revenue, whereas the real estate guide generates P75 per magazine. The real estate magazine is a more sophisticated publication that includes color photos, and accordingly it costs P25 per magazine to print, compared with only P17 for the restaurant and entertainment guide. The publishing company has a printing budget of P400,000 per month. There is enough rack space to distribute at most 18,000 magazines each month. In order to entice businesses to place advertisements, Magasin Publishing promises to distribute at least 8,000 copies of each…
- Question for reference: For the linear program Max 2A + 3Bs.t. 1A+2B <= 6 5A+3B <= 15 A, B >= 0 find the optimal solution using the graphical solution procedure. What is the value of the objective function at the optimal solution? **See image for answer to the above question** Required: Please explain & show the algebra/working for the determination of the corner points A =12/7 and B =15/7.Scenario – 3 In Criminal Management System there are different Prisons across country wheredifferent criminals across country are kept. There are multiple cells within prisons; eachcell can hold multiple prisoners. Each prisoner can get one or more plenty dependingupon nature of crime. Each Prison has Administrator which manage the Prisoners. EachCriminal is supposed to do Social work during his imprisonment and this social work ispart of its plenty. Beside administrator there are different employees which are alsopart of prisoner. Task to do: i. Identify Entities with atleast 10 attributes per Entities.ii. Identify all relationship from the given Scenarioiii. Generate Entity Relationship DiagramProblem 2: Comp-Max Computers assembles computers and computer equipment. It is about to start production of threenew types of computers, called model X, Y, and Z, respectively. Each type will require assembly time, inspection time, and storage space. The availability of each of these resources is limited. Specifically, available assembly time is 400 hours, available inspection time is 300 hours, and available storage space is 500 cubic feet (about 14.2 ms). The amount of each resource required for the different products is reported in the table below. Model X earns a profit of $100 per unit, model Yearns a profit of $125 per unit, and model 2 earns a profit of $200 per unit. Due to some prior agreements with customers, Comp-Max must produce at least 12 model X computers. In addition, management requires that the fraction of total production made up of model 2 computers must not exceed 25%. RESOURCE REQUIREMENTS Assembly time Inspection time Storage space MODEL hrs/unit hrsJunit cu.…
- Case Problem LP: Special Products Jim Kelley is in charge of production planning at Special Products. The company produces three models of their special product that are assembled using components purchased from outside suppliers. The company works 5 days a week and 8 hours each workday. Production might be limited by market demand, the assembly capacity at several departments and the availability of certain critical components. Market demand during the planning period is limited to 400 units/week of Model SL, 500 units/week of Model GL and 300 units/week of Model LX. The company has firm contracts with vendors to supply minimum quantities of 100 units/week of Model SL, 150 units/week of Model GL, and 100 units/week of Model LX. Besides supplying the minimum amounts, the company would like to make as many more of each model as it can, up to the market limits. Profit margins on the three models are ₱7,500 on Model SL, ₱5,000 on Model GL and ₱10,000 on Model LX. Model SL takes 5 minutes…Case Problem LP: Special Products Jim Kelley is in charge of production planning at Special Products. The company produces three models of their special product that are assembled using components purchased from outside suppliers. The company works 5 days a week and 8 hours each workday. Production might be limited by market demand, the assembly capacity at several departments and the availability of certain critical components. Market demand during the planning period is limited to 400 units/week of Model SL, 500 units/week of Model GL and 300 units/week of Model LX. The company has firm contracts with vendors to supply minimum quantities of 100 units/week of Model SL, 150 units/week of Model GL, and 100 units/week of Model LX. Besides supplying the minimum amounts, the company would like to make as many more of each model as it can, up to the market limits. Profit margins on the three models are ₱7,500 on Model SL, ₱5,000 on Model GL and ₱10,000 on Model LX. Model SL takes 5 minutes…19. What combination of x and y will yield the optimum for this problem? Maximize $3x + $15y, subject to (1) 2x + 3y ≤ 12 and (2) 5x + 2y ≤ 10 and (3) x, y ≥ 0. Part 2 A. x = 0, y = 3 B. x = 2, y = 0 C. x = 0, y = 0 D. x = 0, y = 4 E. x = 1, y = 5
- Exercise 4 a) Write the objective function of this LP.b) Write the constraint of the basic element Y.c) Write the constraint that expresses"the factional contributions from each mine must add up to 1."d) What is the optimal fraction of a ton to be chosen from mine 4?e) To make the optimal fraction of a ton to be chosen from mine 4 non-zero, how should the cost per ton of ore from mine 4 change?f) If the minimum requirement amounts of basic element X increases to 7 tons, how much does the cost of a feasible blend (i.e., the value of the objective function) become?g) If the minimum requirement amount of basic element Z decreases to 25 tons, how much does the cost of a feasible blend (i.e., the value of the objective function) become?Topic: “What are some causes of rising food prices and the challenges faced by rural farmers in Mt. Royal, Carriacou.” A. Based on the topic above, how do you intend to investigate and analyze this problem?Problem 17 page 552The chancellor of a small regional college is concernedabout the declining freshman enrollment at his college. A number of factors have contributed to the decline, butthe chancellor believes it is directly related to annualtuition increases. He has collected the following data forthe past 8 years.year FreshmanEnrollmentAnnualTuition (In USdollars)1 6,550 32,0002 6,230 37,0003 5,980 45,2004 5,540 45,7005 4,960 46,2006 4,630 46,7007 4,520 52,2008 4,220 57,700a Develop a linear regression equation for forecastingfreshman enrollment as a function of the annual tuition.b Forecast freshman enrollment if the annual tuitionincreases by US$9,000 in Year 9.c Evaluate the "goodness of fit" of the regressionequation by computing the values of R2, r, and Syx and interpret the results.