Monthly profits at DayGlo Tee Shirt Company appear to be given by the equation
y = −.00027(x − 15,000)2 + 60,000,
where x is the number of shirts sold that month and y is the profit. DayGlo’s maximum production capacity is 15,000 shirts per month.
(a) If you plan to graph the profit equation, what range of x values should you use? [Hint: You can’t make a negative number of shirts.]
(b) The president of DayGlo wants to motivate the sales force (who are all in the profit-sharing plan), so he asks you to prepare a graph that shows DayGlo’s profits increasing dramatically as sales increase. Using the profit equation and the x range from part (a), what viewing window would be suitable?
(c) The City Council is talking about imposing more taxes. The president asks you to prepare a graph showing that DayGlo’s profits are essentially flat. Using the profit equation and the x range from part (a), what viewing window would be suitable?
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