Urban Community College is planning to offer courses inFinite Math, Applied Calculus, and Computer Methods.Each section of Finite Math has 40 students and earnsthe college $40,000 in revenue.Each section of Applied Calculus has 40 students andearns the college $60,000, while each section ofComputer Methods has 10 students and earns thecollege $26,000. Assuming the college wishes to offer atotal of seven sections, accommodate 220 students, andbring in $292,000 in revenues, how many sections ofeach course should it offer?Finite MathApplied Calculus -Computer Methods‒‒‒‒‒‒‒‒‒====

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Answered: Urban Community College is planning to…

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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A tutoring service provides tutoring for a fee. When the tutoring service charges $11/hour, there is a demand for 28 tutors per week. When the hourly rate rises to $17/hour, the demand drops to 16 tutors per week. On the other hand, at $11/hour, the service is able to support only 28 tutors per week, whereas at the rate of $17/hour, it is able to provide 58 tutors per week. Find the price per hour at which the number of tutors demanded and the number of tutors supplied will be equal.
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The Callaghan family owns 410 acres of farmland in Co. Cork on which they grow wheat and oats. Each acre of wheat costs €105 to plant, cultivate, and harvest; each acre of oats costs €210. The Bradleys have a budget of €52,500 for next year. The government limits the number of acres of oats that can be planted to 100. The profit from each acre of wheat is €300; the profit from each acre of oats is €520. The Callaghans want to know how many acres of each crop to plant in order to maximize their profit. iii. Represent the problem in graphical format and highlight the feasible region.
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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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Urban Community College is planning to offer courses in Finite Math, Applied Calculus, and Computer Methods. Each section of Finite Math has 40 students and earns the college $40,000 in revenue. Each section of Applied Calculus has 40 students and earns the college $60,000, while each section of Computer Methods has 10 students and earns the college $28,000. Assuming the college wishes to offer a total of seven sections, accommodate 220 students, and bring in $296,000 in revenues, how many sections of each course should it offer?

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