Mccoy Cross
01/15/2023 · Elementary School
Suppose that the price \( p \) (in dollars) and the weekly sales \( x \) (in thousands of units) of a certain commodity satisfy the demand equation \( 6 p^{3}+x^{2}=38,475 \). Determine the rate at which sales are changing at a time when \( x=135, p=15 \), and the price is falling at the rate of \( \$ .60 \) per week. The rate at which sales are changing is \( \square \) thousand units per week.
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The rate at which sales are changing is 9 thousand units per week.
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