On the first day of each month, the manager of a small company estimates the rate at which profit is expected to increase during that month. The results are listed in the accompanying table for the first 6 months of the year, where P´(t) is the rate of profit growth in thousands of dollars per month expected during the tth month (t = 1 for January, t = 6 for June). Use this information together with the trapezoidal rule to estimate the net profit earned by the company during this 6-month period (January through June).

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t (month) Rate of profit P'(t) 1 0.65 2 0.43 3 0.72 4 0.81 5 1.02 6 0.97