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- A direct sale company started out with two members in the first generation. It is the policy of the company that each member has to recruit another two new members under him or her. Assuming that every member fulfils this condition, find the minimum number of generations such that the total number of members exceeds 1200.Where are the feasible regions5 prove graphically (for strictly convex labor/leisure indifference curves) that workers can always be induced to work longer hours using overtime pay (time and a half) than with any straight hourly wage. [Hint begin with the wage w* that induces the most hours worked then show another wage w^ < w8 that will (when supplemented by overtime) induce worker to work more hours
- The Greer Tire company manufactures a new steel-belted radial tire to be sold through a national chain of discount stores. Because the tire is a new product, Greer’s managers believe that the mileage guarantee offered with the tire will be an important factor in the acceptance of the product. Let X = miles that the tires last: X~N(60,000 2,500) Find the mileage guarantee that ensures this company will repair no more than 15% of its product for free. Assume the distribution of tire mileage is normal.Suppose that you randomly selected 23 adults. Assume 13% of the population smoke. Round all answers to 2 decimal places.a) Using the Range Rule of Thumb, what is the minimum number of usual smokers we can expect to get out of 23 adults?b) Using the Range Rule of Thumb, what is the maximum number of usual smokers we can expect to get out of 23 adults?Suppose the manufacturer wants to incorporate a nonzero minimum policy; in other words, producing 0 of any type of drink will not be acceptable. From previous company records, the manufacturer decides to produce at least 20 gallons of cranpple juice and 10 gallons of appleberry juice. What is the optimal production policy now?
- Assume that each full team consists of 1 doctor and 5 nurses, and that each half team consists of 1 doctor and 3 nurses. Assume also that there are 220 doctors and 920 nurses available to serve on teams. Assume also that the each full team can inoculate 240 people per hour and that each half team can inoculate 140 people per hour. How many full teams and half teams should be formed in order to maximize the number of inoculations per hour?Use complementary slackness to find solution(s) to the dual LPP.Suppose that you randomly selected 26 adults. Assume 17% of the population smoke. Round all answers to 2 decimal places.a) Using the Range Rule of Thumb, what is the minimum number of usual smokers we can expect to get out of 26 adults?b) Using the Range Rule of Thumb, what is the maximum number of usual smokers we can expect to get out of 26 adults?c) Would it be unusual to randomly select 26 adults and get 10 smokers? Yes, since 10 is not between the maximum and minimum usual values. No, since 10 is between the maximum and minimum usual values.
- Use complementary slackness and the solution to its dual problem to find solution(s) to the primal LPP.Use the minimum-entry and u-v methods to solve the following minimum-cost transportationproblem. Assuming there is no cost associated with the artificial warehouse or market.Use Bland’s rule to choose entering and leaving variables where variables/cells are ordered from topto bottom and left to right.
