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The daily production cost for a factory to manufacture x deluxe contour stools is given to be 2 5000 450 , 2 x C x

The daily production cost for a factory to manufacture x deluxe contour stools is given to be 2 5000 450 , 2 x C x x (in dollars). The price per unit p is given as 3 150 2 p x (in dollars). A. Write the equation of the revenue function, R(x) [2 marks] B. Write the equation of the profit function, P(x). [2 marks] C. Evaluate the marginal cost for 10, 30, 50. x x x [5 marks] D. Evaluate the marginal profit for 10, 30, 50. x x x [5 marks] E. How many stools should be produced daily to maximize profit?

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