A company manufactures two products: Product A and Product B. Product A is produced at quantity q1 (in thousands of units). Product B is produced at quantity q2 (in thousands of units). The total revenue for the two products is found out to be R(q1, q2) = -5q1^2 - 8q2^2 - 2q1q2 + 42q1 + 102q2: Determine the quantities q1 and q2 that would maximize the revenue. (use extrema of functions of several variables)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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A company manufactures two products: Product A and Product B. Product A is produced at quantity q1 (in thousands of units). Product B is produced at quantity q2 (in thousands of units). The total revenue for the two products is found out to be
R(q1, q2) = -5q1^2 - 8q2^2 - 2q1q2 + 42q1 + 102q2:
Determine the quantities q1 and q2 that would maximize the revenue. (use extrema of functions of several variables)

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