Question 597551: Given the profit function P(x)=-75x^2+5925x-497250, where x represents the number of units produced and P(x) represents the profit in dollars, determine the break even values.
Please help with this word problem. I got so far and it was wrong and still redid the same. I missed this on an exam and really want to understand it.
Answer by rapaljer(4671)   (Show Source):
You can put this solution on YOUR website! Are you allowed to use a graphing calculator? If so, type the equation into the calculator, and (by trial and error!!) use a window of x from -10 to 100 and y from -10000 to 100000.
The break-even points will be the values of x where the profit P(x) = 0. This occurs at x=9 and x=70. You can do this by inspection of the graph, or using the graphing calculator techniques. For the TI84, use 2nd, F4(CALC). I have a 24 page explanation of the TI84 that is available FREE on my website. To find my website, use the easy-to-remember and easy-to-spell link www.mathinlivingcolor.com. Click on the link at the bottom of the page, which takes you to my Homepage. Near the bottom of my Homepage is a link "Calculator Links and Handouts" that will take you to the pages that you can print yourself. Believe it or not, I'm not selling anything--it's all FREE!!!
Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
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