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Profit Functions

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Consider the following profit functions:

P(x) = 5000 - (1000/(x-1)) , x > 1
P(x) = 5000 - (1000/(x-2)) , x > 2

where P(x) indicates the annual profit in thousands of dollars, and x is the number of items sold in thousands.

Find out the number of items sold, in each case, to achieve the annual profit value of 4000.

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Solution Preview

We are given two profit functions P(x) and annual profit value of 4000, and we have to find the number of items sold to achieve that profit in each case.

Consider the first profit function.

P(x) = 5000 - (1000/(x-1)), where x = number of items sold in thousands, ...

Solution Summary

Step-by-step solution with brief explanation to find the profit functions.