Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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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).arrow_forwardMorgan'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.arrow_forwardLet 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 Sarrow_forward
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