Suppose that a company can produce 12,000 units when the number of hours of skilled labor y and unskilled labor x satisfy 384 = (x +2)^3/4 (y +3)^1/3 .  Find  dy/dx ,  the rate of change of skilled labor hours with respect to unskilled labor hours.?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
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Suppose that a company can produce 12,000 units when the number of hours of skilled labor y and unskilled labor x satisfy 384 = (x +2)^3/4 (y +3)^1/3 .  Find  dy/dx ,  the rate of change of skilled labor hours with respect to unskilled labor hours.?

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