Break-Even Analysis Gymnast Clothing manufactures expensive hockey jerseys for sale to college bookstores in runs of up to 200. Its cost (in dollars) for a run of x hockey jerseys is
Gymnast Clothing sells the jerseys at $100 each. Find the revenue and profit functions. How many jerseys should Gymnast Clothing manufacture to make a profit? [HINT: See Example 2.]
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Finite Mathematics
- How do you find the value of a function?arrow_forwardLIFE SCIENCE APPLICATIONS Gender Ratio The number of males per 100 females, age 65 or over, in the United States for some recent years is shown in the following table. Source: The U.S Census Bureau. Year Males per 100 Females 1960 82.8 1970 72.1 1980 67.6 1990 67.2 2000 70.0 2010 77.0 a. Plot the data, letting x be the years since 1900. b. Would a linear or quadratic function best model this data? Explain. c. If your graphing calculator has a quadratic regression feature, find the quadratic function that best fits the data. Graph this function on the same calculator window as the data. See Example 7c. d. Choose the lowest point in the table above as the vertex and 110,77.0 as a second point to find a quadratic function defined by f(x)=a(xh)2+k that models the data. e. Graph the function from part d on the same calculator window as the data and function from part c. Do the graphs of the two functions differ by much? f. Predict the number of males per 100 females in 2004 using the two functions from parts c and d, and compare with the actual figure of 71.7.arrow_forwardOTHER APPLICATION Attitude Change Social psychologist have found that as the discrepancy between the view of a speaker and those of an audience increase to a point but decrease when the discrepancy becomes too large particular if the communicator is viewed by the audience as having low credibility, Suppose that the degree of change can be approximated by the function D(x)=x4+8x3+80x2 Where x is the discrepancy between the view of the speaker and those of the audience as measure by score on a question-naira. Find the amount of discrepancy the speaker should aim for to maximize the attitude change in the audience. Source: Journal of Personality and Social Psychology.arrow_forward
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