The 'marginal profit' of a good or service is defined as the instantaneous rate of change of the total profit with respect to the number of units sold. You invented a new gadget and started selling it. The total profit (in dollars) from selling a gadgets is given by: P(x) = 25x + 0.0002.x³. Determine the marginal profit when 150 gadgets are sold. Use the limit definition for the instantaneous rate of change as introduced in this course, and be sure to show your work in detail and clearly.

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