The total cost function for a product is C(x) = 30x + 1200, and the total revenue

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The total cost function for a product is C(x) = 30x + 1200, and the total revenue is R(x) = 38x, where x is the number of units produced and sold.

(a) Find the marginal cost.

(b) Find the profit function.

(c) Find the number of units that gives the break-even point.

(d) Find the marginal profit and explain what it means.

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