Question

The marketing research department of a computer company used a large city to test market the...

The marketing research department of a computer company used a large city to test market the firm’s new laptop. The department found that the relationship between price p (dollars per unit) and the demand x (units per week) was given approximately by p=1,296-0.12x^2 0≤x≤80) So, weekly revenue can be approximated by R(x)=xp=1,296x-0.12x^3 Find all critical numbers of the function, then use the second-derivative test on each critical number to determine if it is a local maximum or minimum in order to find the maximum revenue.

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