²xy +-A bicycle shop sells two styles of a road bike, 10-speed and 14-speed. During the month of September, the management expects to sellexactly 870 road bikes. The monthly profit is given by P(x, y)+6x + 50y550, where x is the number of10-speed road bikes sold and y is the number of 14-speed road bikes sold. How many of each type should be sold to maximize the profitin September?AnswerHow to enter your answer (opens in new window)==10-speed road bikes14-speed road bikesKeypadKeyboard Shortcuts

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Answered: A bicycle shop sells two styles of a…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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For a certain company, the cost for producing a items is 40x + 300 and the revenue for selling x items is 80x – 0.5x². The profit that the company makes is how much it takes in (revenue) minus how much it spends (cost). In economic models, one typically assumes that a company wants to maximize its profit, or at least wants to make a profit! Part a: Set up an expression for the profit from producing and selling x items. We assume that the company sells all of the items that it produces. (Hint: it is a quadratic polynomial.) Part b: Find two values of that will create a profit of $50. The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or x + 1; x – 1). The order of the list does not matter. To enter va , type sqrt(a).
Morgan's Mediterranean Restaurant has found that the number of falafel plates sold can be modeled by the equation y = 1.3x + 9.3 where a represents the number of years since 2000, and y represents the number of falafel plates sold, in thousands. Predict the number of falafel plates the restaurant will sell in 2028. Predict the number of falafel plates the restaurant will sell in 2032.
Let y represent the total cost of publishing a book (in dollars). Let x represent the number of copies of the book printed. Suppose that x and y are related by the equation 1150 +10x=y. Answer the questions below. Note that a change can be an increase or a decrease. For an increase, use a positive number. For a decrease, use a negative number. What is the change in the total cost for each book printed? What is the cost to get started (before any books are printed)? $0 X S
For many florists, the days leading up to Valentine's Day are among the busiest of the year. An owner of a florist wanted to estimate the average sale amount for all sales made on the day before Valentine's Day, February 13th. When she had time she wrote down the sale price of a transaction of fresh flowers on a sheet of paper. By 3pm she had collected n=44 sale prices of all flower sales that were made day. The variable of interest is the total euro amount of each purchase. During her quick tea-break she calculated the average sale price of the 44 sales as 80.05 euro and found that they varied with a standard deviation of 20.3 euro. Estimate the value of the population mean, µ, the true mean sale amount of all sales on February 13, by calculating a 95% confidence interval. Fill in the blanks in the following: An estimate of the population mean is . The standard error is . The distribution is (examples: normal / t12 / chisquare4 / F5,6). For a 95% confidence interval the…
The number of plums varies directly with the square of the number of apples. When there are 12 plums, there are 2 apples. How many apples are there when there are 75 plums?

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