(Continuation of Exercise)
(a) Solve the inequality R > 165 to determine the months, if any, that the revenue will exceed $165,000.
(b) Are there any months when the revenue will fall below $45,000?
Exercise
Suppose that after studying a corporation’s records, a business analyst predicts that the corporation’s monthly revenues R for the near future can be closely approximated by the equation
where R is the revenue (in thousands of dollars) for the month x, with x = 1 denoting January, x = 2 denoting February, and so on.
(a) According to this model, for which months will the monthly revenue be no more than $80,000?
Hint: You need to solve the inequality R ≤ 80. Round each key number to the nearest integer. (Why?)
(b) For which months, if any, will the monthly revenue be at least $120,000?
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