Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by L(x,y)=3/2x2+y2−2x−2y−2xy+60 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.
Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by L(x,y)=3/2x2+y2−2x−2y−2xy+60 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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by
L(x,y)=3/2x2+y2−2x−2y−2xy+60
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.
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