A change in the objective function coefficient (Pj) for a basic variable can affect a) only the Pj – Zj value of that variable. b) the Pj values of other basic variables. c) the Pj – Zj values of all the basic variables. d) the Pj – Zj values of all the nonbasic variables.
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- Use the RAND function and the Copy command to generate 100 random numbers. a. What fraction of the random numbers are smaller than 0.5? b. What fraction of the time is a random number less than 0.5 followed by a random number greater than 0.5? c. What fraction of the random numbers are larger than 0.8? d. Freeze these random numbers. However, instead of pasting them over the original random numbers, paste them onto a new range. Then press the F9 recalculate key. The original random numbers should change, but the pasted copy should remain the same.A company that supplies gasoline to a city has recorded the weeklyusage (tons/week) for the past 3 years. The file BA3653GasolineRecord.xlsxcontains this record. (c) In general, the company delivers the demanded gasoline to customersthat store it in their own facilities. However, the company would like toobtain its own storage tanks to better handle variability. The companyhas identified several solutions: a 500 ton, a 1000 ton, a 2000 ton and a3000 ton system, with each tank being proportionately more expensiveas its size grows. Given your predictions and the expected variability,what size of tank would you choose?(d) Reaching the city is sometimes hazardous due to weather conditions.Even with these challenges, the company estimates that the most thatshipments to the city may be delayed is 1 week. Given this information,which tank choice (of those in part c) do you think would be appropriate? week demand (tons) 1 1174.5 2 1316.2 3 1197 4 1127.3 5 1193.1 6 1260.7 7…Bad simulations Explain why each of the followingsimulations fails to model the real situation properly:a) Use a random integer from 0 through 9 to representthe number of heads when 9 coins are tossed. b) A basketball player takes a foul shot. Look at a ran-dom digit, using an odd digit to represent a good shot and an even digit to represent a miss.c) Use random numbers from 1 through 13 to represent thedenominations of the cards in a five-card poker hand.
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