Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by L(x,y) = x² + y² - 5x - 2y - 2xy + 93 where x is the number of hours required by a skilled craftsperson and y is the number of hours required by a semiskilled person. Find values of x and y that minimize the labor cost. Find the minimum labor cost. Labor cost will be minimized when x = and y=.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by
+y²-5x-2y-2xy + 93
L(x,y)=
where x is the number of hours required by a skilled craftsperson and y is the number of hours required by a semiskilled person. Find values of x and y that minimize the
labor cost. Find the minimum labor cost.
Labor cost will be minimized when x=
and y=
Transcribed Image Text:Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by +y²-5x-2y-2xy + 93 L(x,y)= where x is the number of hours required by a skilled craftsperson and y is the number of hours required by a semiskilled person. Find values of x and y that minimize the labor cost. Find the minimum labor cost. Labor cost will be minimized when x= and y=
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