Suppose that the price p, in dollars, and number of sales, x, of a certain item follow the equation 5p+4x+2px=60. Suppose also that p and x are both functions of time, measured in days. Find the rate at which x is changing when x=3, p=5, and dpdt=1.5.\

Step-by-step explanation:

Given that the price p, in dollars, and number of sales, x, of a certain item follow the equation:

5p+4x+2px=60.

Taking partial derivatives

When x=3, p=5, dp/dt=1.5

Therefore, x is decreasing at a rate of -1.1786.

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step-by-step explanation:

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