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4. Suppose the total cost function for a product (in dollars) is C(x) = 150(0.02x + 6)^3, where x represents the number of hundreds of units produced. Find ?(x), the average cost function (in dollars). ?(x) = 150(0.02x + 6)^3 / x Find ?'(x). ?'(x) = (75(0.02x + 6)^2) / x - (150(0.02x + 6)^3) / x^2 Producing how many units (in hundreds of units) will minimize average cost? x = 100 hundred units Find the minimum average cost per hundred units. $ 648 5. A manufacturer estimates that its product can be produced at a total cost of C(x) = 35,000 + 100x + x^3 dollars. If the manufacturer's total revenue from the sale of x units is R(x) = 4000x dollars, determine the level of production x that will maximize the profit. (Round your answer to the nearest whole number.) units Find the maximum profit. (Round your answer to the nearest dollar.) $

          4. Suppose the total cost function for a product (in dollars) is C(x) = 150(0.02x + 6)^3, where x represents the number of hundreds of units produced. Find ?(x), the average cost function (in dollars). ?(x) = 150(0.02x + 6)^3 / x Find ?'(x). ?'(x) = (75(0.02x + 6)^2) / x - (150(0.02x + 6)^3) / x^2 Producing how many units (in hundreds of units) will minimize average cost? x = 100 hundred units Find the minimum average cost per hundred units. $ 648 5. A manufacturer estimates that its product can be produced at a total cost of C(x) = 35,000 + 100x + x^3 dollars. If the manufacturer's total revenue from the sale of x units is R(x) = 4000x dollars, determine the level of production x that will maximize the profit. (Round your answer to the nearest whole number.) units Find the maximum profit. (Round your answer to the nearest dollar.) $

4. Suppose the total cost function for a product (in dollars) is C(x) = 150(0.02x + 6)^3, where x represents the number of hundreds of units produced. Find ?(x), the average cost function (in dollars). ?(x) = 150(0.02x + 6)^3 / x Find ?'(x). ?'(x) = (75(0.02x + 6)^2) / x - (150(0.02x + 6)^3) / x^2 Producing how many units (in hundreds of units) will minimize average cost? x = 100 hundred units Find the minimum average cost per hundred units. 648 5. A manufacturer estimates that its product can be produced at a total cost of C(x) = 35,000 + 100x + x^3 dollars. If the manufacturer's total revenue from the sale of x units is R(x) = 4000x dollars, determine the level of production x that will maximize the profit. (Round your answer to the nearest whole number.) units Find the maximum profit. (Round your answer to the nearest dollar.)

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