Question 3 A. Scholes is a small computer and supplies company specializing in XP pens and computers they sell to teachers. After 25 years in operation, the company has developed a profit function, 5(x,y)=-3x² - 4y² + 4xy-2x + 12y-4 in millions of dollars. Let x represents the number of XP pens and y represents the number of computers. i. Determine the number of XP pens (per 1000) and computers (per 1000) that should be sold to maximise this cost. ii. What is the maximum cost?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question 3
A. Scholes is a small computer and supplies company specializing in XP pens and
computers they sell to teachers. After 25 years in operation, the company has developed a
profit function, 8(x,y)=-3x² - 4y2 + 4xy-2x + 12y-4 in millions of dollars. Let
x represents the number of XP pens and y represents the number of computers.
i.
Determine the number of XP pens (per 1000) and computers (per 1000) that
should be sold to maximise this cost.
ii. What is the maximum cost?
B.
Use the trapezium rule with 6 ordinates to estimate fe* dx correct to two decimal
places.
Transcribed Image Text:Question 3 A. Scholes is a small computer and supplies company specializing in XP pens and computers they sell to teachers. After 25 years in operation, the company has developed a profit function, 8(x,y)=-3x² - 4y2 + 4xy-2x + 12y-4 in millions of dollars. Let x represents the number of XP pens and y represents the number of computers. i. Determine the number of XP pens (per 1000) and computers (per 1000) that should be sold to maximise this cost. ii. What is the maximum cost? B. Use the trapezium rule with 6 ordinates to estimate fe* dx correct to two decimal places.
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