A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant manufacturing data are given in the table.Labor-Hours per SkiMaximum Labor-HoursAvailable per DayDepartmentFabricatingFinishingAnswer parts (A), (B), and (C) below.Trick Ski61Slalom Ski41(A) If the profit on a trick ski is $30 and the profit on a slalom ski is $40, how many of each type of ski should be manufactured each day to realize amaximum profit? What is the maximum profit?The maximum profit is $ The maximum occurs whentrick skis and21642slalom skis are produced.

Answered: Image /qna-images/answer/e8f74c1b-c162-4054-bea4-4886111dfaa3.jpg

Answered: A manufacturing company makes two types…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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2. According to the US Post Office the number of pieces of first-class mail processed (in millions) in 1930 was 16,901; in 1960 was 33,235; in 1980 was 60,276; and, in 2000 was 103,526. Which is larger, the rate of change of the number of pieces of mail processed from 1930 to 1960 or the rate of change of the number of pieces of mail processed from 1980 to 2000?
The owner of an apartment building can rent all 50 apartments if she charges $1,700 per month, but she rents one fewer apartment for each $50 increase in monthly rent. (a) Construct a table that gives the revenue generated if she charges $1,700, $1,750, and $1,800. No. of Apts 50 49 48 Rent Total Revenue $1,700 $ $1,750 $ $1,800 $ (b) Does her revenue from apartment rentals increase or decrease as she increases the rent from $1,700 to $1,800? O revenue increases O revenue decreases = (c) Write an equation that gives the revenue R, from apartment rentals if she makes x increases of $50 in the rent. R(x) (d) Find the rent she should charge to maximize her revenue. $ per month
The table shows the 2013 per capita total expenditure on health in 35 countries with the highest gross domestic product in 2013. Health expenditure per capita is the sum of public and private health expenditure (in PPP, international $) divided by population. Health expenditures include the provision of health services, family‑planning activities, nutrition activities, and emergency aid designated for health but exclude the provision of water and sanitation. Per Capita Total Expenditure on Health (International Dollars) Country Dollars Country Dollars Country Dollars Argentina 17251725 Indonesia 293293 Saudi Arabia 16811681 Australia 41914191 Iran 14141414 South Africa 11211121 Austria 48854885 Italy 31263126 Spain 28462846 Belgium 45264526 Japan 37413741 Sweden 42444244 Brazil 14541454 Korea, South 23982398 Switzerland 61876187 Canada 47594759 Malaysia 938938 Thailand 658658 China 646646 Mexico 10611061 Turkey 10531053 Colombia 843843 Netherlands 56015601 United…
3. Tamir has recently begun a new job of selling custom bracelets! Tamir's sales have been growing every week and now he is looking to analyze his profit. Specifically, Tamir is looking to find how much his cost of goods is for his business of selling bracelets. Luckily, Tamir sells each bracelet for the same price and has recorded that when he sold 4 bracelets he made a $39 profit, when he sold 9 bracelets he made a $94 profit. a. Write an equation in point slope form that could model this scenario. b. Which of the following could be the graph of Tamir's profit? Explain how you know. Graph 1: Graph 2: + +
Kara categorized her spending for this month into four categories: Rent, Food, Fun, and Other. The amounts she spent in each category are pictured here. Rent $444 Food $356 Fun $267 Other $533 What percent of her total spending did she spend on Rent? Answer to the nearest whole percent.
For each problem, select the best response. (a) The Columbus Zoo conducts a study to determine whether a household's income can be used to predict the amount of money the household will give to the zoo's annual fund drive. The response variable in this study is A. the amount of money a household gives to the zoo's annual fund drive. B. all households in Columbus. C. the Columbus Zoo. D. a household's income. E. None of the above. (b) A researcher measures the correlation between two variables. This correlation tells us A. whether a cause-and-effect relation exists between two variables. B. the strength of a straight line relation between two variables. C. whether there is a relation between two variables. D. whether or not a scatterplot shows an interesting pattern. E. None of the above. (c) A researcher wishes to determine whether the rate of water flow (in liters per second) over an experimental soil bed can be used to predict the amount of soil washed away (in…
Tim Smunt has been asked to evaluate two machines. After some investigation, he determines that they have the costs shown in the following table: He is told to assume that: 1. The life of each machine is 3 years. Machine A Machine B Original Cost Labor per year $15,000 $20,000 $2,200 $4,000 Maintenance per year Salvage value $4,600 $1,000 $2,400 $7,500 2. The company thinks it knows how to make 8% on investments no more risky than this one. 3. Labor and maintenance are paid at the end of the year. • The NPV for Machine A: The NPV for Machine B: Using the net present value as the basis of comparing the machines, Tim should recommend:
Hospital Beds. The number of hospital beds available in community hospitals is decreasing. Through advancement in care and technology, hospitals are getting more efficient. However, the aging and increasingly obese and diabetic population intensifies the need. The American Hospital Association Annual Survey, published by the American Hospital Association (AHA), gave the number of hospital beds available per 1000 people for each of the 50 states plus the District of Columbia for 2010. Following is a stem-and-leaf diagram of the data. The stems represent units and the leaves tenths (e.g., the first entry is 1.7). How many states (including the District of Columbia) had a. at least three but less than four hospital beds per 1000 people available? b. at least four and a half hospital beds per 1000 people available?
Step 3: Assess the Evidence (Calculate the test statistic for the observed sample mean. Sketch the T-distribution and identify the position of the observed test statistic. Shade the area that represents the P-value. Use the test statistic to find the P-value.)
Please solve: Analysis: Blood Types, Part (a) Analysis: Blood Types, Part (b) Analysis: Blood Types, Part (b)
5 Imagine that a company sells portable walkie-talkie radios to construction crews. The batteries for these radios last for an average of 55 hours. The purchasing manager for this company receives a brochure in the mail that advertises a new brand of batteries. This new brand of batteries is cheaper than the brand that the company currently uses. However, the purchasing manager is concerned that the cheaper batteries may have a shorter average battery life than the current brand. (Note: The number of hours that batteries last is called their battery life.) The pricing manager installs 40 randomly selected batteries of the cheaper brand in the company's walkie-talkie radios. He finds that the mean battery life for the sample is 52 hours, with a standard deviation of 10 hours. He wants to perform a statistical test at the 1% level of significance to determine whether the cheaper batteries have a shorter average battery life span than the average life span of the brand of batteries the…
A researcher believed that the number of rental cars in service by a car rental company would have an impact on the total annual revenue for that car rental company. Five small car rental companies were surveyed, with the number of Cars in service recorded in units of 1000 (so if a car rental company had 54000 cars in service, a 54 would be recorded) and Annual Revenue measured in millions of dollars (so an Annual Revenue of $10,000,000 would be recorded as 10). The data follows: Cars (1,000s) Annual Revenue ($ millions)11.5 118 10.0 135 9.0 100 5.5 37 3.3 32 Part of the Excel-generated Simple Linear Regression output is provided below: ANOVA df SS MS F Significance F Regression 1 7891.863897 7891.863897 22.91180151 0.017339231 Residual 3 1033.336103 344.4453677 Total 4 8925.2 Coefficients Standard Error t Stat P-value Intercept -19.12490108 23.1658578…

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