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- Maximize: 500X1+300X2Subject to: 15X1+5X2≤30010X1+6x2≤240 8X1+12X2≤450 X1≥0,X2≥0Same situation as in the previous two problems this time the magnet s mass is 5.68 kg and the magnetic force pulling it to the right is 170.9 N. The length of the cord is 1.70 m, and the ceiling is 2.98 m above the floor. Suppose that you cut the cord and the magnet falls to the floor while still being pulled to the right by the force of 170.9 N. How long will it take the magnet to hit the floor? 0.848 s 0.403 s 0.707 s 0.495 sChemitronix Ltd. is a microchips manufacturing company. It was found that the business is at the maturity stage, demanding some change. After rigorous research, management came up with the following decision variables Expansion: 45% chance of gaining 1,500,000; 55% chance of losing X New Product: 50% chance of gaining 900,000; 50% chance of losing 545959 What must have been the value of expansion loss if expansion and new product will result to the same expected monetary values?
- A firm is currently taking on two projects with an individual cost of capital of 10 percent and 12 percent for each of the projects. That means that the before tax cost of capital for the firm must be between 10 and 12 percent Select one: a. False b. True1. Find the total simple interest on P12,500 at 8% for 2 years. 2. Find the total simple interest on P12,500 at 8% for 9 months. 3. How long will it take P80,000 to accumulate to P96,000 at 8% simple interest rate?In the objective tree: a.All negative conditions in the Problem Tree are transformed into desired and achievable objectives. b.All of the above. c.Every cause-effect relationship in the Problem Tree is automatically converted into a means-end relationship. d.The means-ends relationships are analyzed
- 31. among the following variances. which of them does not need a corrective action? a. 200,000 b. 50,000 c. -750,000 d. 0The final stage on a production line for a repairableproduct comprises an old final test station withaccompanying analysis and repair stations.First Time Yield (FTY) is 0.720. To improve quality the old test station is replaced by anew model with higher performance.Using the production line final stage parameter values inTable QB1, on the next page, calculate thenew FTY Original final test time 15.0 minOriginal final test effectiveness 0.900New final test time 14.9 minNew final test effectiveness 0.930Analysis time 60.0 minRepair time 15.0 minTest station cost $100,000Analysis station cost $200,000Repair station cost $150,000Test cost $160 per hour per stationAnalysis cost $425 per hour per stationRepair cost $128 per hour per stationWarranty cost $250 per warranty claim perdefective product shippedThe process of determining the effect of changing objective function coefficients, right-hand side values of constraints, and decision variable values on a linear program is known as A. change management B. process evaluation C. what-if analysis D. project management E. optimization
- The final stage on a production line for a repairableproduct comprises an old final test station withaccompanying analysis and repair stations.First Time Yield (FTY) is 0.720. To improve quality the old test station is replaced by anew model with higher performance.Using the production line final stage parameter values inTable QB1, on the next page, calculate thechange in cycle time Original final test time 15.0 minOriginal final test effectiveness 0.900New final test time 14.9 minNew final test effectiveness 0.930Analysis time 60.0 minRepair time 15.0 minTest station cost $100,000Analysis station cost $200,000Repair station cost $150,000Test cost $160 per hour per stationAnalysis cost $425 per hour per stationRepair cost $128 per hour per stationWarranty cost $250 per warranty claim perdefective product shippedScenario You are going to plant a rectangular flower bed consisting of tulips in the middle surrounded by daisies on the outside. You have the same amount of each flower and will need an equal area for each. You want the border of daisies to be uniform around the tulips in the middle, as shown in the diagram below:There is a cake made for the birthday of an analytics professional. Altogether,there are five persons at the party. However, one person, as a trick, has cut thecake into 15 slices with weights (in grams) of 18, 48, 19, 59, 46, 72, 67, 57, 49, 80,50, 69, 10, 48, 83. The goal is to give all of the pieces out in a way that is mostfair Formulate this as an integer program and find a solution via Solver.