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$2.00 math133 unit 5 discussion

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Annual profit in thousands of dollars is given by the function, P(x) = 100√ x - 5  + 3,000, where x is the number of items sold in thousands, x ≥ 5.
  1. describe the meaning of the number 5 in the formula
  2. describe the meaning of the number 3000 in the formula
  3. find the profit for 5 different values of x
  4. graph the profit function over its given domain; use the 5 values calculated in part 3 to construct the graph and connect these points with a smooth curve in Excel or another graphing utility. Insert the graph in a Word file and attach the graph in a Word file to the class DB thread.
  5. will this profit function have a maximum, if so, what is it?
  6. what steps should the company take to prepare for your answer to part 5?
  7. Post your final draft as a response to this post; use the small group area for collaboration
 

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Preview: ... 3200 x = 14, p(x) = 3300 x = 21, p(x) = 3400 4.   5. For max/min p'(x) = 0 p(x) = 100(x-5)^1/2 + 3000 p'(x) = 100 * 1/2 *(x-5)^-1/2 = 50/√(x-5) (which cannot = 0) hence ...
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