(a) Find the following: x+/3 + 9x/5 (2х — 1)1/2 — 3 i. Lim- x→0 6x1/2 – 4x1/4 ii. Lim х-5+ х — 5 (b) The total revenue curve of a firm is R(q) = 40q – 12q² _and its 400 where q is the firm's output. 1 average cost A(q) q² – 12.85q + 20 + 30 Derive an expression C(q) for the firm's total cost function. ii. Derive an expression II(q) for the firm's profit function. iii. Is the rate of change of profit increasing or decreasing when the ouput level of the firm is 10 units? iv. Determine the level of output for which the firm's profit is maximized. v. What is the firms's maximum profit? i.

(a) Find the following: x+/3 + 9x/5 (2х — 1)1/2 — 3 i. Lim- x→0 6x1/2 – 4x1/4 ii. Lim х-5+ х — 5 (b) The total revenue curve of a firm is R(q) = 40q – 12q² _and its 400 where q is the firm's output. 1 average cost A(q) q² – 12.85q + 20 + 30 Derive an expression C(q) for the firm's total cost function. ii. Derive an expression II(q) for the firm's profit function. iii. Is the rate of change of profit increasing or decreasing when the ouput level of the firm is 10 units? iv. Determine the level of output for which the firm's profit is maximized. v. What is the firms's maximum profit? i.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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