Suppose we are deciding which projects to implement in the upcoming year. Let's represent each project using a binary variable so that whether or not we do project 1 is represented by P1, Project 2 is represented by P2, and so on. The managers decide that to complete Project 2, Project 1 must be finished first but Project 3 CANNOT be done. Which pair of constraints capture this requirement? O P2 <= P1 and P2 <=P3 O P2 <= P1 and P2 >= P3 O P2 <= P1 and P2 +P3 <=1 O P2 >= P1 and P2 +P3 <=1 O P2 = P1 and P2 +P3 <=1
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- Please do not give solution in image format thanku Let xi = 1 if Project i is selected, i = 1,2,3,4,5; and 0 otherwise: Which answer below indicates that if Project 2 is selected, then Project 4 must be selected? Group of answer choices None of the above x2 + x4 = 1 x2 + x4 ≤ 1 x4 ≤ x2 x2 ≤ x4A desk contains three drawers. Drawer 1 contains twogold coins. Drawer 2 contains one gold coin and one silvercoin. Drawer 3 contains two silver coins. I randomly choosea drawer and then randomly choose a coin. If a silver coinis chosen, what is the probability that I chose drawer 3?For this question, please use the standard normal distribution table, Table A2. It has been estimated that the mean time required to complete a project is 20 weeks and the variance of project completion time is 9 weeks. What is the probability that the project will be completed in 23 weeks?
- Vivian and Wayne are planning on going to Lamazenatural childbirth classes. Lamaze classes meet once a weekfor five weeks. Each class gives 20% of the knowledge neededfor “natural” childbirth. If Vivian and Wayne finish theirclasses before the birth of their child, they will forget duringeach week 5% of what they have learned in class. To maximizetheir expected knowledge at the time of childbirth, duringwhich week of pregnancy should they begin classes? Assumethat the number of weeks from conception to childbirthfollows the probability distribution given in Table 9. Week of Birth Probability36 .0537 .1539 .2040 .3041 .1542 .1043 .05Minimization Case. Min C = X1 + X2 + X3Subject toX1 – 3X2 + 4X3 = 5X1 – 2X2 <= 32X2 + X3 >=0And X1, X2, X3 >= 0Suppose 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?
- Which of the following is true? a)The maximin criterion is an approach in Optimization under uncertainty which finds a solution that has the best possible payoff. b)The maximin criterion is an approach in Optimization under uncertainty which finds a solution with the best worst possible payoff. c)A risk profile represents the probability distribution of uncertain inputs. d)Decision tree is a method to solve any optimization problem when the outcomes are subject to uncertainty.Dash and Lily Corporation wanted to raise funds for the poor. The first prizefor a raffle is P500,000 (with aprobability of 0.001) and the second prize is P250,000 (with a probability of0.003). What is a fair price to pay for a single ticket in this raffle? a. Give: what are the given information. b. Requirement: what is requirement. c. Solution: show step by step solution d. Answer: what is the final answer e. Analysis: identify the use of the result in risk managementThe practice of directing potential home buycts 10 a particular ates in order wo maintain the bomogeneity of that area is known as A. stecring B. redlining C. solicitation D. blockbusting Destles The practice of directing potential home buyers to a particular area in order to maintain the homogeneity of that area is known as <20D A. steering B. redlining C. solicitation blockbusting
- Consider a project with the following cash flows: year 1, 2$400; year 2, $200; year 3, $600; year 4, 2$900; year 5, $1000; year 6, $250; year 7, $230. Assume a discount rate of 15% per year.a. Find the project’s NPV if cash flows occur at the ends of the respective years.b. Find the project’s NPV if cash flows occur at the beginnings of the respective years.c. Find the project’s NPV if cash flows occur at the middles of the respective years.Three life events that require that a will be changed are: (Select the best answer below.) OA, marriage, divorce, or relocation to a different state. OB. moving to a different state, having children, or purchasing a large asset. OC. marriage, divorce, or the purchase of a large asset. OD. marriage, divorce, or having children.A political party is planning a half-hour television show. The show will have at least 3 minutos of direct requests for money from viowers Three of the party's politicians will be on the show-a senator, a congresswoman, and a governor The senator, a party "elder statesman," demands that he be on screen for at least twice as long as the governor The total time taken by the senator and the governor must be at least twice the time taken y the congresswoman Based on a pre-show survey, it is believed that 33, 38, and 43 (in thousands) viewers will watch the program for each minute the senator, congresswoman, and governor, respectively, are on the air. Find the time that should be allotted to each politician in order to get the maximum number of viewers Find the maximum number of viewers The quantity to be maximized, z, is the number of viewers in thousands. Let x, be the total number of minutes allotted to the senator, x, be the total number of minutes allottod to the congresswoman, and x,…