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Question 1 1.1 The Kigawa Corporation manufactures tw If the Market Researchers, Inc. predicts that the project will fail, what is conditioners and large fans. The assembly process for e project will actually be successful? the probability that the project wil that both require a certain amount of wiring, drilling, tap ofirena operations. Each air conditioner takes 3 ons. Each fan must gamercuring and 0.3 hour of gr Question 2 drilling, 0.8 hour of taper-turning and 0.55 hour of grinding oper horizon period, #80 hours of wiring time, 320 hours me: 150 hours of taper-turning 2.1 Trowbridge Manufacturing produces cases for personal computers and rs of grinding time may be used. Each air conditioner is sold to yield other electronic equipment. The quality control inspector for this 190 Each fan assembled is sold to yield a profit of R25 only 259% of all cases are deemed defective due to discolorations. If.6 appelation decides that at least 45 air conditioners should be produced but no more than 100 fans should be produced. such cases are sampled, formulate a Linear Programming (LP) model that will maximiz What is the probability that there will be 4.defective of Kigawa Corporation. is operating correctly? ases, if the process Solve this LP using the graphical method. What is the probability that there will be exactly 1 defective case? Determine the slack or surplus value for each of the constraints? The time to complete a construction project is normally distributed with a mean of 50 weeks and a standard deviation of 6 weeks." Market searchers, Inc., has been hired by a project consulting firm, to What is the probability that the project will be finished in 55 weeks or to be embarked on by this ny will be successful or it will fail. In similar studies performed in ast by Market Rese ers, Inc., whenever the project was actually What is the probability that the project will take longer than 60 weeks? search study indicated that the project will be wetime. on the other hand, whenever the project What is the probability that the project will finish between 57 weeks and be successful 15% of he time. Before the study put the Project w 60 weeks? pbelieved there is a 75% 175% chance that the project will be successful w Market Researchers, Inc. performs the study for this project, the results predict that the project will be successful. Question 3 Given the results of this study, what is the probability that the project will 3.1 actually be successful? Mr Kagiso, a project manager is not sure what he should do. He can a quadbiex (le.. a building with four apartments). build a Given the results of this study, what is the probability that the project will actually fail? additional informal formation, the results could be either favorable or unfavorable, but it would cost him R6500. to gather the information. Kagiso believe that there is an 88% chance that the information will be le. If the rental market is favorable, Ka the quadplex or R10000 with the duplex. Kagiso doesn wancial resources to do both. With an untaunt doesn't have the vansagiso could lose, R15000 with the quadplex or R7500 with the duplex. Without gathering additional information, Kagiso estimates that the probability of a favorable rental market is 0.75. A favorable re from the study would increa ease the probability of a favorable rental mark -you. Furthermore, an unfavorable report from the additional information would decrease the probability of a favorable rental market nothing. to 0.25. Of course, Kagiso could forget all of these numbers and do What is your advice to Kagiso as a decision analyst