Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by 3 L(x,y) = x² + y² - 7x-2y - 2xy + 109 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 = 9 and y = 10. The minimum labor cost is $. (Round to the nearest cent as needed.)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...
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Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by
3
L(x,y) = x² + y² - 7x-2y - 2xy + 109
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 = 9 and y = 10.
The minimum labor cost is $. (Round to the nearest cent as needed.)
Transcribed Image Text:Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by 3 L(x,y) = x² + y² - 7x-2y - 2xy + 109 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 = 9 and y = 10. The minimum labor cost is $. (Round to the nearest cent as needed.)
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