4:00 O ll l 77% ECON1003_Altern...2_ 2019-2020 - Read-only Read Only - You can't save changes to t... The amount of time available for cutting, sewing and packaging is 115 hours, 280 hours and 65 hours respectively. Using either the Inverse Method or the Cramer's Rule, determine how many of each type of clothing should be made to use all available labour hours? Page 3 Question 4 (a) Find the following: x4/3 + 9x1/5 (2х — 1)1/2 — 3 i. Lim х--о бх1/2 — 4x1/4 ii. Lim х-5° х— 5 (b) The total revenue curve of a firm is R(q) = 40q – 12q² and its average cost A(q) =9? – 12.85q + 20 400 where q is the firm's output. i. 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? END OF ASSIGNMENT 3 of 3

4:00 O ll l 77% ECON1003_Altern...2_ 2019-2020 - Read-only Read Only - You can't save changes to t... The amount of time available for cutting, sewing and packaging is 115 hours, 280 hours and 65 hours respectively. Using either the Inverse Method or the Cramer's Rule, determine how many of each type of clothing should be made to use all available labour hours? Page 3 Question 4 (a) Find the following: x4/3 + 9x1/5 (2х — 1)1/2 — 3 i. Lim х--о бх1/2 — 4x1/4 ii. Lim х-5° х— 5 (b) The total revenue curve of a firm is R(q) = 40q – 12q² and its average cost A(q) =9? – 12.85q + 20 400 where q is the firm's output. i. 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? END OF ASSIGNMENT 3 of 3

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Description: Can you please answer this question? 4:00O ll l 77%ECON1003_Altern...2_ 2019-2020 - Read-onlyRead Only - You can't save changes to t...The amount of time available for cutting, sewing and packaging is 115 hours,280 hours and 65 hours respectively. Us

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 16EQ

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