The monthly sales of a certain widget are expected to increase at a rate of S'(t) =   2et   3 + et widgets per month, where t is the time in months and S(t) is the number of widgets sold per month. The manufacturer has decided to increase the price of this widget when sales rise to 350 widgets per month. If the manufacturer currently (time = 0) sells 295 widgets a month, find the number of months before the manufacturer increases the price on the widget. Round your answer to two decimal place

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