Suppose that the price p (in dollars) and the weekly sales x (in thousands of units) of a certain commodity satisfy the demand equation 2p 3 x 2 4500 Determine the rate at which sales are changing at a time when x 50, p 10, and the price is falling at the rate of $ 50 per week ...

The sales are rising at 3 thousa ...

Suppose that the price p (in dollars) and the weekly sales x (in thousands of units) of

Question:

Suppose that the price p (in dollars) and the weekly sales x (in thousands of units) of a certain commodity satisfy the demand equation 2p³ + x² = 4500. Determine the rate at which sales are changing at a time when x = 50, p = 10, and the price is falling at the rate of $.50 per week.

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