A manufacturer estimates that its product can be produced at a total cost of C(x) = 40,000 + 100x + x3 dollars. If the manufacturer's total revenue from the sale of x units is R(x) = 3700x dollars, determine the level of production x that will maximize the profit. (Round your answer to the nearest whole number.)

= Need answer as Units

Find the maximum profit. (Round your answer to the nearest dollar.)

= Need answer as $