Finance—Operation Expenses: The Nuthin’-But-Socks specialty store finds that the monthly e...

Finance—Operation Expenses: The Nuthin’-But-Socks specialty store finds that the monthly expenses for operation during its first year of business is given by

where x = 1 corresponds to January, x = 2 corresponds to February, and so on, and f(x) is the monthly expenses in hundreds of dollars. The monthly revenue during the first year of business is given by

 g(x) = 27.5x 1 ≤ x ≤ 12

where x = 1 corresponds to January, x = 2 corresponds to February, and so on, and g(x) is the monthly revenue in hundreds of dollars.

(a) Evaluate (g − f )(6) and interpret.

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(b) Did the store break even before the end of the first year?