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The price p(in dollars) and demand x for wireless headphones are related by x=6,000-0.15p2...

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Accounting

The price p(in dollars) and demand x for wireless headphones are related by
x=6,000-0.15p2
a. If the current price of $110 is decreasing at a rate of $5 per week, find the rate of change (in headphones per week) of the demand.
b. Find the associated revenue function R(p) and the rate of change (in dollars per week) of the revenue.
7. The price p(in dollars) and demand x for a product are related by
2x2+5xp+50p2=80,000
a. If the price is increasing at a rate of $2 per month when the price is $30, find the rate of change of the demand.
b. If the demand is decreasing at a rate of 6 units per month when the demand is 150 units, find the rate of change of the price.
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