Number of 200 205 195 200 205 | 195 195 205 200 205 | 200 | 200 190 195 195 products in the example Number of 9 7 12 12 11 9 3 5 7 8 10 11| 12 problematic products 9,
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The samples taken in different shifts in a production line and the number of problematic products observed in these examples are as follows. To evaluate the production process, explain the reasons and select the appropriate control card. Draw and interpret the card.
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- 4. What is the optimized Z value for this following LP problem? Minimize Z= 3x + 10y, subject to (1) 2x + 4y ≤ 12 and (2) 5x + 2y ≥ 10 and (3) x, y ≥ 0. Answer: ______________An urn contains 10 red balls and 30 blue balls.a Suppose you draw 4 balls from the urn. Let Xi bethe number of red balls drawn on the ith ball (Xi 0 or1). After each ball is drawn, it is put back into the urn. Are the random variables X1, X2, X3, and X4 indepen-dent random variables? b Repeat part (a) for the case in which the balls are notput back in the urn after being drawn.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.
- Minimize Z= x1+2x2-3x3-2x4 subject to: x1+2x2-3x3+x4=4 x1+2x2+x3+2x4=4 x1, x2, x3,x4 are equal or greater then zeroUse the two – phase simplex method Minimize Ζ = 3x1 + 2x2 + x3 Subject to x1 + 4x2 + 3x3 ≥ 50 2x1 + x2 + x3 ≥ 30 −3x1 − 2x2 – x3 ≤ −40 X1 , x2 , x3 ≥ 0Primarily which among the following reports will you use, to know which constraints are binding and which are not, while using Solver? a. Answer Report b. Sensitivity Report c. None of these d. Limits Report
- 53. Why is the RISKCORRMAT function necessary?How does @RISK generate random inputs by default,that is, when RISKCORRMAT is not usedUse 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.What would the formula be for Cells B9 and C9 be to populate 0? Or is it just left blank?
- Suppose that the number of ounces of soda put into aPepsi can is normally distributed, with m 12.05 oz ands .03 oz.a Legally, a can must contain at least 12 oz of soda.What fraction of cans will contain at least 12 oz of soda?b What fraction of cans will contain under 11.9 oz ofsoda?c What fraction of cans will contain between 12 and12.08 oz of soda?d 1% of all cans will contain more than oz.e 10% of all cans will contain less than oz.f Pepsi controls the mean content in a can by setting atimer. For what mean should the timer be set so that only1 in 1,000 cans will be underfilled?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…You work for a small retail store. You must decide how many cases of kombucha to order. Twenty cases fit on a pallet and because of shipping costs, orders must be placed in multiples of 20. You can either order 20, 40, 60, 80 or 100 cases. Each case costs $15. If you order more than 1 pallet, you receive a discount of 5% per additional pallet ordered (2 pallets would be 5%, 3 would be 10%, etc). The cases can be sold for $25 each. Any that are left unsold can be sold to a discount store for $10. Your records suggest that the probability that you will sell 25 cases is 20%, 45 cases is 45%, 65 cases is 20% and 85 cases is 15%. a) Construct a payoff table to provide reflect the decisions and outcomes What would be your decision based on each of the following? Maximin Maximax Minimax regret Expected value Overall - what would you do? Why?