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- If during the following year it is predicted that each comedy skit will generate 30 thousand and each musical number 20 thousand, find the maximum income for the year. A television program director must schedule comedy skits and musical numbers for prime-time variety shows. Each comedy skit requires 2 hours of rehearsal time, costs 3000, and brings in 20,000 from the shows sponsors. Each musical number requires 1 hour of rehearsal time, costs 6000, and generates 12,000. If 250 hours are available for rehearsal and 600,000 is budgeted for comedy and music, how many segments of each type should be produced to maximize income? Find the maximum income.In August 2011, Bank of Hawaii (BOH) stock cost $45 per share, yielded 4% per year in dividends, and had a risk index of 3.0 per share, while JPMorgan Chase (JPM) stock cost $40 per share, yielded 2.5% per year in dividends, and had a risk index of 2.0 per share.† You have up to $25,000 to invest in these stocks, and would like to earn at least $760 in dividends over the course of a year. (Assume the dividends to be unchanged for the year.) How many shares (to the nearest tenth of a unit) of each stock should you purchase to meet your requirements and minimize the total risk index for your portfolio?A Japanese electronics company and an Americanelectronics company are both considering working ondeveloping a superconductor. If both companies work onthe superconductor, they will have to share the market, andeach company will lose $10 billion. If only one companyworks on the superconductor, that company will earn $100billion in profits. Of course, if neither company works onthe superconductor, then each company earns profits of $0. a Formulate this situation as a two-person nonconstant-sum game. Does the game have any equilibrium points? b Now suppose the Japanese government offers theJapanese electronics company a $15 billion subsidy to work on the superconductor. Formulate the reward ma-trix for this game. Does this game have any equilibrium points?c Businesspeople have often said that a protectionist attitude toward trade can increase exports, but econo-mists have usually argued that it will reduce exports. Whose viewpoint does this problem support?
- Assume you are leading an initiative to improve infrastructure. Every year, 20% of roads in good conditions deteriorate into bad conditions, while current spending fixes 30% of roads in bad condition, turning them to a good condition. In the long run how many roads will be in good condition?Each well that is drilled produces both natural gas and oil. Based on current information, each MCF1 of gas can be sold for $4, while each STB2 of oil can be sold for $80. Due to labor and other constraints, as more wells are drilled, the production per well decreases. Specifically, when one well is drilled, 113629 MCF of gas and 56814 STB of oil per year can be extracted, but every well added reduces the output of each well by 500 MCF of gas and 125 STB of oil per year. Each well costs $1.5 million/ year, while the cost to lease the land is $180,000 per well per year. Each well site’s labor and other miscellaneous costs are $3 million/year. Finally, the fixed facilities costs are $1.25 million annually.1. Construct the annual profit function 2. Find the number of wells which maximizes annual profitYour friend's portfolio manager has suggested two high-yielding stocks: Consolidated Edison (ED) and Royal Bank of Scotland (RBS-K). ED shares cost $40, yield 5.5% in dividends, and have a risk index of 1.0 per share. RBS-K shares cost $25, yield 7.5% in dividends, and have a risk index of 1.5 per share. You have up to $24,000 to invest and would like to earn at least $1,320 in dividends. How many shares (to the nearest whole number) of each stock should you purchase in order to meet your requirements and minimize the total risk index for your portfolio?
- A grower estimates that if he picks his apple crop now, he will obtain 1000 boxes of apples, which he can sell at $30 per box. However, he thinks his crop will increase by 120 boxes of apples for each week he delays picking, but that the price will drop at a rate of $1.50 per box per week; in addition, he estimates that approximately 20 boxes per week will spoil for each week he delays picking. (a) When should he pick his crop to obtain the largest total cash return? How much will he receive for his crop at that time? (b) Build a spreadsheet to calculate the profit for 0, 1, 2, …, 6 weeks.Several of the U.S. occupations that are projected to have the fastest job growth during the decade of the 2020’s are in either the medical or the renewable energy sectors of the economy. For example, the Federal Bureau of Labor Statistics (BLS) projects that “wind turbine service technicians” will be the fastest growing occupation during the decade, with an expected growth rate of 64% after 10 years. “Solar panel installers” is projected to be the third-fastest growing occupation, with an expected growth rate of 51% . Meanwhile, “nurse practitioners” ( projected growth), “occupational therapy assistants” (35% projected growth), and “home health and personal care aides” (34% projected growth) are all among the six occupations projected to grow the fastest. what was the overall percent increase in the median salary for solar panel installers after three full years? Round your answer off to the nearest whole percent.Several of the U.S. occupations that are projected to have the fastest job growth during the decade of the 2020’s are in either the medical or the renewable energy sectors of the economy. For example, the Federal Bureau of Labor Statistics (BLS) projects that “wind turbine service technicians” will be the fastest growing occupation during the decade, with an expected growth rate of 64% after 10 years. “Solar panel installers” is projected to be the third-fastest growing occupation, with an expected growth rate of 51% . Meanwhile, “nurse practitioners” ( projected growth), “occupational therapy assistants” (35% projected growth), and “home health and personal care aides” (34% projected growth) are all among the six occupations projected to grow the fastest. The median pay of a solar panel installer was $46,000 per year at the beginning of the decade. Suppose that, due to the increased demand for solar energy the median salary for solar panel installers increases by 11% for each of the…
- Several of the U.S. occupations that are projected to have the fastest job growth during the decade of the 2020’s are in either the medical or the renewable energy sectors of the economy. For example, the Federal Bureau of Labor Statistics (BLS) projects that “wind turbine service technicians” will be the fastest growing occupation during the decade, with an expected growth rate of 64% after 10 years. “Solar panel installers” is projected to be the third-fastest growing occupation, with an expected growth rate of 51% . Meanwhile, “nurse practitioners” ( projected growth), “occupational therapy assistants” (35% projected growth), and “home health and personal care aides” (34% projected growth) are all among the six occupations projected to grow the fastest. At the beginning of the decade, there were about 5,700 wind turbine service technicians, about 4,800 solar panel installers, and about 47,100occupational therapy assistants. Using the projected growth rates for each of these…Several of the U.S. occupations that are projected to have the fastest job growth during the decade of the 2020’s are in either the medical or the renewable energy sectors of the economy. For example, the Federal Bureau of Labor Statistics (BLS) projects that “wind turbine service technicians” will be the fastest growing occupation during the decade, with an expected growth rate of 64% after 10 years. “Solar panel installers” is projected to be the third-fastest growing occupation, with an expected growth rate of 51% . Meanwhile, “nurse practitioners” ( projected growth), “occupational therapy assistants” (35% projected growth), and “home health and personal care aides” (34% projected growth) are all among the six occupations projected to grow the fastest. At the beginning of this decade, there were 7,000 wind turbine technicians in the United States. How many are there projected to be by the end of the decade?An estimated 1 out of 100 people workdwide now has celiac disease,according to the National Institute of Health.Plus,Mayo Clinic research in 2017 found that 3.5 million Americans avoid gluten, though they don't have celiac - a number that tripled between 2009 and 2014. The global gluten-free product market, worth an estimated $4.71 billion in 2017, is expected to reach about $7.7 billion by 2024, according to New York-based Zion Market Research. a.What is the best answer for the reference value for the 32% in the article's title? gluten-free food gluten food with gluten food food labeled gluten-free