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A manufacturing company sells high-quality handbags through a chain of specialty shops. The demand equation for these handbags is: p=600-2q Where p is the selling price (in RM) per handbag and q is the demand (in thousands). If this company's average cost function is given by C=28+0.2g+ 200 9 a) Find the profit function. Determine the number of handbags that must be sold to obtain the maximum profit by b) using the vertex formula. Find the maximum profit. Prove that the profit is a maximum profit. c) d)

A manufacturing company sells high-quality handbags through a chain of specialty shops. The demand equation for these handbags is: p=600-2q Where p is the selling price (in RM) per handbag and q is the demand (in thousands). If this company's average cost function is given by C=28+0.2g+ 200 9 a) Find the profit function. Determine the number of handbags that must be sold to obtain the maximum profit by b) using the vertex formula. Find the maximum profit. Prove that the profit is a maximum profit. c) d)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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QUESTION 5 A manufacturing company sells high-quality handbags through a chain of specialty shops. The demand equation for these handbags is: p=600-2q Where p is the selling price (in RM) per handbag and q is the demand (in thousands). If this company's average cost function is given by C=28+0.2g+ b) c) d) 200 a) Find the profit function. Determine the number of handbags that must be sold to obtain the maximum profit by using the vertex formula. Find the maximum profit. Prove that the profit is a maximum profit.
Transcribed Image Text:QUESTION 5 A manufacturing company sells high-quality handbags through a chain of specialty shops. The demand equation for these handbags is: p=600-2q Where p is the selling price (in RM) per handbag and q is the demand (in thousands). If this company's average cost function is given by C=28+0.2g+ b) c) d) 200 a) Find the profit function. Determine the number of handbags that must be sold to obtain the maximum profit by using the vertex formula. Find the maximum profit. Prove that the profit is a maximum profit.
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