The base, b, and height, h, of a triangle are represented by b = (x+3)2 and...

  

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The base, b, and height, h, of a triangle are represented by b = (x+3)2 and h = (x + 3). Determine the rate of change of the area of the triangle when x = 3. 8. An ice-cream company estimates that the cost, C, in dollars of producing x tubs of ice-cream is C(x) = 0.0001x + 1.75x + 4100. The revenue, R, in dollars from selling x tubs of ice-cream is R(x) = 6.50x. a) Determine the marginal cost of producing 4000 tubs of ice-cream. (2 marks) b) Determine the marginal profit from selling 4000 tubs of ice-cream. (3 marks) c) What is the selling price of a tub of ice-cream? Explain. (2 marks) The base, b, and height, h, of a triangle are represented by b = (x+3)2 and h = (x + 3). Determine the rate of change of the area of the triangle when x = 3. 8. An ice-cream company estimates that the cost, C, in dollars of producing x tubs of ice-cream is C(x) = 0.0001x + 1.75x + 4100. The revenue, R, in dollars from selling x tubs of ice-cream is R(x) = 6.50x. a) Determine the marginal cost of producing 4000 tubs of ice-cream. (2 marks) b) Determine the marginal profit from selling 4000 tubs of ice-cream. (3 marks) c) What is the selling price of a tub of ice-cream? Explain. (2 marks)