Profit functions the monthly profit in dollars of bond and

Question

Question: 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 - 15y² + xy + 39x + 25y - 20,000

Compute ∂P/∂x and ∂P/∂y when x = 4000 and y = 150. Interpret your results. Repeat with x = 5000 and y = 150.