Suppose the labor cost (in dollars) for manufacturing a particular product can be approximated by 3 L(x, y) 2 where x is the number of hours required by a skilled craftsperson and y is the number of hours required by a semiskilled person. What values of x and y will minimize cost and what is the minimum cost? 2 + y² 5x − 6y-2xy + 221 Labor costs will be minimized when x = The minimum labor cost will be $ and y =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Suppose the labor cost (in dollars) for manufacturing a particular product can be approximated by
3
L(x, y) = 1⁄2 x² + y² − 5x − 6y − 2xy + 221
where x is the number of hours required by a skilled craftsperson and y is the number of hours required by
a semiskilled person. What values of x and y will minimize cost and what is the minimum cost?
Labor costs will be minimized when x =
The minimum labor cost will be $
and y=
=
Transcribed Image Text:Suppose the labor cost (in dollars) for manufacturing a particular product can be approximated by 3 L(x, y) = 1⁄2 x² + y² − 5x − 6y − 2xy + 221 where x is the number of hours required by a skilled craftsperson and y is the number of hours required by a semiskilled person. What values of x and y will minimize cost and what is the minimum cost? Labor costs will be minimized when x = The minimum labor cost will be $ and y= =
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