Assume that the demand for tuna in a small coastal town is given by

P= 550,000/q^1.5

whereqis the number of pounds of tuna that can be sold in a month atpdollars per pound. Assume that the town's fishery wishes to sell at least 5,000 pounds of tuna per month.(a) How much should the town's fishery charge for tuna in order to maximize monthly revenue? (Round your answer to the nearest cent.)

p= $_______per lb

(b) How much tuna will it sell per month at that price?

q=_______lb

(c) What will be its resulting revenue? (Round your answer to the nearest dollar.)

$________per month