he monthly profit (in dollars) of Bond and Barker Department Store depends on the level of inventory x (in thousands of dollars) and the floor space y (in thousands of square feet) available for display of the merchandise, as given by the equation. P(x, y) = −0.02x2 − 16y2 + xy + 30x + 28y − 20,000 Compute ∂P ∂xand ∂P ∂ywhen x = 4000 and y = 150.

he monthly profit (in dollars) of Bond and Barker Department Store depends on the level of inventory x (in thousands of dollars) and the floor space y (in thousands of square feet) available for display of the merchandise, as given by the equation. P(x, y) = −0.02x2 − 16y2 + xy + 30x + 28y − 20,000 Compute ∂P ∂xand ∂P ∂ywhen x = 4000 and y = 150.

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section1.7: Solving Inequalities

Problem 92E

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Profit Functions

The monthly profit (in dollars) of Bond and Barker Department Store depends on the level of inventory x (in thousands of dollars) and the floor space y (in thousands of square feet) available for display of the merchandise, as given by the equation.

P(x, y) = −0.02x² − 16y² + xy + 30x + 28y − 20,000

Compute

∂P

∂x

and

∂P

∂y

when x = 4000 and y = 150.

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