(Continuation of Exercise 77) (a) Solve the inequality R > 165 to determine the...

(Continuation of Exercise 77)

(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?

Reference

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 Round each key number to the nearest integer. (Why?) (b) For which months, if any, will the monthly revenue be at least $120,000?