Maximize the function f(x, y) = 8xy - 3x²-3x - 4y + 10 subject to the constraint 2x + 3y = f(x, y) Find the location of the maximum and its value. Enter non-integer numerical values as decimals to at least 3 decimal places. Note: you must use a . and not, for a decimal point. The maximum is located at x = Y 4 = and

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Maximize the function
f(x, y) = 8xy - 3x²-3x - 4y + 10
subject to the constraint
2x + 3y
=
f(x, y)
Find the location of the maximum and its value. Enter
non-integer numerical values as decimals to at least
3 decimal places. Note: you must use a . and not, for
a decimal point.
The maximum is located at x =
Y
4
=
and
Transcribed Image Text:Maximize the function f(x, y) = 8xy - 3x²-3x - 4y + 10 subject to the constraint 2x + 3y = f(x, y) Find the location of the maximum and its value. Enter non-integer numerical values as decimals to at least 3 decimal places. Note: you must use a . and not, for a decimal point. The maximum is located at x = Y 4 = and
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