Revenue Calculation for DIY Cleaner Sales

What is the total revenue if a company sold 95 units of DIY Cleaner and the marginal revenue is given by the equation R'(x) = 3e^(0.01x)?

Calculation of Total Revenue for 95 Units of DIY Cleaner

The marginal revenue (MR) for the DIY Cleaner sales is given by the equation R'(x) = 3e^(0.01x). To find the total revenue for 95 units sold, we need to calculate R(95) by integrating the marginal revenue function.

Firstly, it is stated that the company has no revenue if there are no sales, so R(0) = 0. This implies that the total revenue is an integral of the marginal revenue function from 0 to 'x'.

To find R(95): ∫ from 0 to 95 of 3e^(0.01x) dx.

By performing this integration operation, we get the total revenue as approximately $288.28 for selling 95 units of the DIY Cleaner.

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