a firm estimates that it can sell q units of its product with an advertising expenditure of x thousand dollars when Q=Q(x) = -X2 +600x +25 i) over whta level of advertising expenditure is the number of units of products sold is incresing ? ii) over what level of advertising expenditure is the numbers of units of product sold decreasing?
Solution:
We are given that .
(i)
We need to find over what level of advertising expenditure is the number of units of product sold increasing.
Now, .
For increasing, Q'(x)>0
Thus, is increasing for
(ii) And decreasing for
Here is the graph of Q(x).
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