The demand for a fitness video game roughly follows the equation p-100-31.91sqrt(x), 0x7, where p is...
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The demand for a fitness video game roughly follows the equation p-100-31.91sqrt(x), 0≤x≤7, where p is the unit price and x is the number of units sold. It costs the supplier C=-0.03x^2+10x+250 dollars to sell a total of x units. (a) Write profit as a function of x (assuming that the level of demand drives production). P(x)= x(100-31.91sqrt(x))+0.03x^2-10x-250 (b) At what production level is profit maximized? What is the maximum profit? (c) At what production level is profit decreasing least rapidly? The demand for a fitness video game roughly follows the equation p-100-31.91sqrt(x), 0≤x≤7, where p is the unit price and x is the number of units sold. It costs the supplier C=-0.03x^2+10x+250 dollars to sell a total of x units. (a) Write profit as a function of x (assuming that the level of demand drives production). P(x)= x(100-31.91sqrt(x))+0.03x^2-10x-250 (b) At what production level is profit maximized? What is the maximum profit? (c) At what production level is profit decreasing least rapidly?
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Solution a The profit function is given by Pxx1003191sqrtx003x210x... View the full answer
Related Book For
Advanced Accounting
ISBN: 978-0538480284
11th edition
Authors: Paul M. Fischer, William J. Tayler, Rita H. Cheng
Posted Date:
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