Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by L(x,y) = x² + y² - 9x - 4y - 2xy + 139 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
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Homework: HW 17.3

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Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by
3
L(x,y) = 7x +y - 9x - 4y - 2xy + 139
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 3 L(x,y) = 7x +y - 9x - 4y - 2xy + 139 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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