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

Multiple Choice

Assume that the demand function for tuna in a small coastal town is given by $p = \frac { 50,000 } { q ^ { 1.5 } }$
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.

A) -$0.206 per pound per month
B) -$5.556 per pound per month
C) -$0.617 per pound per month
D) -$0.412 per pound per month
E) -$0.274 per pound per month