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Q: 1. Solve the following a) 430.00(1+0.05) b) 1.2:4.2:60= c) y: 9 8 5 45 4 64 (1+0.05) 33- -1 0.05
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- Cholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There are three main types of cholesterol: HDL (high-density lipoproteins), LDL (low-density lipoproteins), and VLDL (very low-density lipoproteins). HDL is considered “good” cholesterol; LDL and VLDL are considered “bad” cholesterol. A standard fasting cholesterol blood test measures total cholesterol, HDL cholesterol, and triglycerides. These numbers are used to estimate LDL and VLDL, which are difficult to measure directly. Your doctor recommends that your combined LDL/VLDL cholesterol level be less than 130 milligrams per deciliter, your HDL cholesterol level be at least 60 milligrams per deciliter, and your total cholesterol level be no more than 200 milligrams per deciliter. (a) Write a system of linear inequalities for the recommended cholesterol levels. Let x represent the HDL cholesterol level, and let y represent the combined LDL VLDL cholesterol level. (b) Graph the system of inequalities from part (a). Label any vertices of the solution region. (c) Is the following set of cholesterol levels within the recommendations? Explain. LDL/VLDL: 120 milligrams per deciliter HDL: 90 milligrams per deciliter Total: 210 milligrams per deciliter (d) Give an example of cholesterol levels in which the LDL/VLDL cholesterol level is too high but the HDL cholesterol level is acceptable. (e) Another recommendation is that the ratio of total cholesterol to HDL cholesterol be less than 4 (that is, less than 4 to 1). Identify a point in the solution region from part (b) that meets this recommendation, and explain why it meets the recommendation.The River is a literary magazine published by the English Department at Tech. It has a 70-year history and enjoys an excellent reputation for providing a literary outlet for aspiring Appalachian writers in particular. However, its sales, mostly through independent bookstores and college libraries, have never been very large. Several years ago, the magazine’s advisory board decided to create a Web site and post the bi-monthly issues online for free access. Due to poor economic conditions and state budget cuts, Tech recently withdrew funding for the magazine, and in order to make up for this financial loss, the magazine’s staff has decided to try to sell advertising (especially to local and regional businesses) on the magazine’s Web site. In order to sell advertising, the magazine’s staff would like to be able to provide potential advertisers with a forecast of the number of “visits” the Web site might receive in future months. Following is the number of monthly visits the Web site has…Today is 1 January 2020. Jay is 40 years old. Jay is considering paying single premium to purchase a two-year term life insurance with disability cover. This product pays $100,000 at the end of the year of death and pays $20,000 at the end of a year if the policy holder is permanently disabled in that year (with a maximum of two payments). Policyholder can only be regarded as healthy, disabled or dead for each year. Currently, Jay is healthy. His probability of surviving (being healthy) during each year is 0.995 given that he is healthy. Probability of becoming disabled during each year is 0.004 given that Jay is healthy. Probability of dying during each year is 0.001 given that Jay is healthy. Probability of dying during each year is 0.15 given that Jay is disabled. Probability of remaining in the disabled state during each year is 1-0.15 = 0.85 given that Jay is disabled (i.e., disability is assumed to be irreversible). The life insurance company incurs initial expenses of $200 per…
- Today is 1 January 2020. Jay is 40 years old. Jay is considering paying single premium to purchase a two-year term life insurance with disability cover. This product pays $100,000 at the end of the year of death and pays $20,000 at the end of a year if the policy holder is permanently disabled in that year (with a maximum of two payments). Policyholder can only be regarded as healthy, disabled or dead for each year. Currently, Jay is healthy. His probability of surviving (being healthy) during each year is 0.995 given that he is healthy. Probability of becoming disabled during each year is 0.004 given that Jay is healthy. Probability of dying during each year is 0.001 given that Jay is healthy. Probability of dying during each year is 0.15 given that Jay is disabled. Probability of remaining in the disabled state during each year is 1-0.15 = 0.85 given that Jay is disabled (i.e., disability is assumed to be irreversible). The life insurance company incurs initial expenses of $200 per…#7. Investment Advisors, Inc., is a brokerage firm that manages stock portfolios for a number of clients. A particular portfolio consists of U shares of U.S. Oil and H shares of Huber Steel. The annual return for U.S. Oil is $3 per share and the annual return for Huber Steel is $5 per share. U.S. Oil sell for $25 per share and Huber Steel sells for $50 per share. The portfolio has $80,000 to be invested. The portfolio risk index (0.50 per share of U.S. Oil and 0.25 per share for Huber Steel) has a maximum of 700 . In addition, the portfolio is limited to a maximum of 1000 shares of U.S. Oil. The linear programming formulation that will maximize the total annual return of the portfolio is as follows:Max 3U + 5H Maximize total annual returns.t. 25U + 50H <= 80,000 Funds Available0.50U + 0.25H <= 700 Risk Maximum1U <= 1000 U.S. Oil maximumU,H >= 0 a. What is the optimal solution value for U?b. What is the optimal solution value for H?c. What is the estimated annual return?UNIT 5 CHAPTER 8 The Porsche Club of America sponsors driver education events that provide high-performance driving instruction on actual racetracks. Because safety is a primary consideration at such events, many owners elect to install roll bars in their cars. Deegan Industries manufactures two types of roll bars for Porsches. Model DRB is bolted to the car using existing holes in the car's frame. Model DRW is a heavier roll bar that must be welded to the car's frame. Model DRB requires 20 pounds of a special high-alloy steel, 40 minutes of manufacturing time, and 60 minutes of assembly time. Model DRW requires 25 pounds of the special high-alloy steel, 100 minutes of manufacturing time, and 40 minutes of assembly time. Deegan's steel supplier indicated that at most 40,000 pounds of the high-alloy steel will be available next quarter. In addition, Deegan estimates that 2000 hours of manufacturing time and 1600 hours of assembly time will be available next quarter. The profit…
- The Grand Canyon and the Colorado River are beautiful, rugged, and sometimes dangerous. Assume there is a physician at the park clinic in Grand Canyon Village. Suppose the physician has recorded (for a 5-year period) the number of visitor injuries at different landing points for commercial boat trips down the Colorado River in both the Upper and Lower Grand Canyon. Upper Canyon: Number of injuries per Landing Point BetweenNorth Canyon and Phantom Ranch 2 3 1 1 3 4 8 11 3 1 3 Lower Canyon: Number of injuries per Landing Point BetweenBright Angel and Lava Falls 10 1 1 0 8 9 2 11 3 0 1 10 2 1 The mean, median, and mode for Upper Canyon are 3.636, 3.0, and 3, respectively. The mean, median, and mode for Lower Canyon are 4.286, 2.0, and 1, respectively.Compare the mean, median, and mode found in Upper Canyon and Lower Canyon, respectively.Oxford University in England is one of the oldest and most prestigious universities in the world. In 1902, a trust was set up to provide academic awards to American college graduates so they could attend Oxford. The Rhodes Scholarship was named after the primary benefactor of the award, Cecil Rhodes, a British philanthropist who wished to bring students from throughout the world to study at Oxford. Along with an endowment from Rhodes's will, the scholarship continues to be funded by generous benefactors including Canadian businessman John MacBain, who donated almost $120 million dollars to expand the program. The first class of American Rhodes Scholars entered Oxford in 1904. Applying for the Rhodes Scholarship is a rigorous process. Students who wish to apply must first be endorsed by their university. In 2014, 1600 students asked for endorsement but only 877 received it. The strongest applicants are then invited to appear for an interview. Rhodes Scholars are selected based on…An efficient portfolio_________: Multiple Choice: A) has no risk at all. B) provides the highest expected return for a given level of risk. C) has only unique risk. D) provides the highest expected return for a given level of risk and provides the least risk for a given level of expected return.
- CWD Business systems maintains a successful Telecom sales department for Top up call credit in which a clerk takes orders by telephone. If the clerk is occupied on one line, incoming phone calls to the department are answered automatically by an answering machine and asked to wait. As soon as the clerk is free, the party that has waited the longest is transferred and answered first. Calls come in at a rate of about 15 per hour. The clerk is capable of taking an order in an average of 3 minutes. Calls tend to follow a Poisson distribution, and service times tend to be exponential. The clerk is paid $15 per hour, but because of lost goodwill and sales, CWD loses about $30 per hour of customer time spent waiting for the clerk to take an order. d. What is the average time a customer waits for service(Wq)? e. What is the average time in the system (W) ?-f. What is the probability that a customer will have to wait for service (Pw)?-g) What is the probability that there are more than 3…Physicians Committee for Responsible Medicine The Physicians Committee for Responsible Medicine tends to oppose the use of meat and dairy products in our diets, and that organization has received hundreds of thousands of dollars in funding from the Foundation to Support Animal Protection.