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Assume That the Demand Function for Tuna in a Small p=50,000q1.5p = \frac { 50,000 } { q ^ { 1.5 } }

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Assume that the demand function for tuna in a small coastal town is given by p=50,000q1.5p = \frac { 50,000 } { q ^ { 1.5 } }
Where q is the number of pounds of tuna that can be sold in 1 month at the price of p dollars per pound. The town's fishery finds that the demand for tuna is currently 900 pounds per month and is increasing at a rate of 200 pounds per month. How fast is the price changing Round your answer to the three decimal places.


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Subsidiary Ledger

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