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What is Business Mathematics: Integration & Differentiation about?
Given: Marginal cost function: MC = 2 + 5ex (i) To find the total cost function C, we integrate the marginal cost function: C = ∫ MC dx = ∫ (2 + 5ex) dx = 2x + 5ex - 5e Setting x = 0, C(0) = 100 100 = -5e e = -20 Therefore, the total cost function is: C = 2x + 5ex - 5e + 100 (ii) Average cost AC = Total Cost / Quantity = (2x + 5ex - 5e + 100) / x = 2 + 5ex - 5e/x + 100/x
- Author
- Raj pratap singh
- Language
- EN