How can integer programming be used to ensure that thevariable x can assume only the values 1, 2, 3, and 4?
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How can integer programming be used to ensure that the
variable x can assume only the values 1, 2, 3, and 4?
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- If a convex function is multiplied by a negative constant, the result: A. is concave B. could be either convex or concave, depending on the value of the constant C. is convex D. is linearSuppose Box I contains five red balls and two white ones while Box II contains one red and four white ones. A box is chosen at random by selecting a random number from 0 through 9. If a 1 or 2 is selected, Box I is chosen; otherwise Box II is chosen. If I took Box 1 and chose 2 balls without replacement, what is the proabability that exactly one would be red?Suppose on a road trip to Texas you observe that three out of every four trucks on the road are followed by a car, while only one out of every five cars is followed by a truck. What fraction of vehicles on the road are trucks?
- Please note that formulating linear program doesn't need coding but only modelling. It's operational Research problem. Garden House produces three custom flower seed mixes. Garden House is trying to decide how many pounds of each mix to produce for the upcoming planting season. All three mixes require two seed types, the all-star and the purple power. Garden house can obtain at most 25 lbs of all-star and 30 lbs of purple power seeds. Seed requirements, along with the revenue per pound of each, are given in Table 1, All star seeds cost $2/lb, and purple power seeds cost $3/lb. From past history, the company knows that it will be able to sell at most 60 lbs of mix A, but that they will sell as much of mix B and mix C as they produce. Formulate a linear program to help garden house maximize its profits.The upper limit and lower limit condition can be tested through Select one: a. whatif function alone b. If within if function c. Single if function d. Countif with count functionJack and Jill go fishing. The probability that Jack catches a fish is 0.4, the probability that Jill catches a fish is 0.5 and the probability that Jack and Jill each cat a fish is 0.2. Which of the statements (A/C) is/are true and what are the value of B and D? 1)The events "Jack catches a fish” and "Jill catches a fish” are mutually exclusive 2)The probability that at least one of them catches a fish is .................. 3)The events "jack catches a fish” and "Jill catches a fish” are independent 4)The probability that Jack catches a fish given that Jill caught a fish is ................ Question 11Select one: a. 3 only, 2=0.7;4=0.4 b. 3 only, 2= unknown; 4=0.4 c. 1 and 3,2=0.9;4=0.6 d. 1 only, 2=0.7 ;4=0.5
- In this version of dice blackjack, you toss a single die repeatedly and add up the sum of your dice tosses. Your goal is to come as close as possible to a total of 7 without going over. You may stop at any time. If your total is 8 or more, you lose. If your total is 7 or less, the house then tosses the die repeatedly. The house stops as soon as its total is 4 or more. If the house totals 8 or more, you win. Otherwise, the higher total wins. If there is a tie, the house wins. Consider the following strategies: Keep tossing until your total is 3 or more. Keep tossing until your total is 4 or more. Keep tossing until your total is 5 or more. Keep tossing until your total is 6 or more. Keep tossing until your total is 7 or more. For example, suppose you keep tossing until your total is 4 or more. Here are some examples of how the game might go: You toss a 2 and then a 3 and stop for total of 5. The house tosses a 3 and then a 2. You lose because a tie goes to the house. You toss a 3 and then a 6. You lose. You toss a 6 and stop. The house tosses a 3 and then a 2. You win. You toss a 3 and then a 4 for total of 7. The house tosses a 3 and then a 5. You win. Note that only 4 tosses need to be generated for the house, but more tosses might need to be generated for you, depending on your strategy. Develop a simulation and run it for at least 1000 iterations for each of the strategies listed previously. For each strategy, what are the two values so that you are 95% sure that your probability of winning is between these two values? Which of the five strategies appears to be best?A mortgage can be terminated by novation. Select one: True FalseConsider a piston-cylinder assembly that operates in isobaric process. Steam undergoes the process from 500°C to reach 1000°C. Select two (2) pressure values in the range of 10< P<45 MPa at which t