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Minimizing a Bivariate Function

The labor cost in dollars for manufacturing a precision camera can be approximated by

f(x,y)=3/2x^2+y^2-2x-2y-2xy+68

Where x is the number of hours required by a skilled craftsperson and y is the number of hours required by a semi-skilled person. Find values of x and y that minimize the labor charge. Find the minimum labor charge.

Solution Preview

The labor cost in dollars for manufacturing a precision camera can be approximated by

f(x,y)=3/2x^2+y^2-2x-2y-2xy+68

Where x is the number of hours required by a skilled craftsperson and y is the number of hours required by a semi-skilled person. Find values of x ...

Solution Summary

A function with two variables is minimized. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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