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

Assume that the demand for tuna in a small coastal town is given by p =- 650,000 1.5 where q is the number of pounds of tuna that can be sold in a month at p dollars per pound. (a) What is the monthly revenue as a function of the demand for tuna? R(q) = (b) Assume that the town's fishery wishes to sell at least 5,000 pounds of tuna per month. This means you are studying the revenue function on the domain [5000,co). Does the monthly revenue function have any stationary points? (-Select- Does the monthly revenue function have any singular points? (--Select--$) Use the First Derivative Test to determine if the monthly revenue is increasing or decreasing on the domain [5000,co). The monthly revenue is ( ---Select- #) on the domain [5000,co). (c) From your analysis above, how much tuna should the fishery sell per month in order to maximize monthly revenue? q = Ib How much should they charge for tuna in order to sell that much fish? (Round your answer to the nearest cent.) P= dollars per lb What will be its resulting maximum monthly revenue? (Round your answer to the nearest dollar.) $ per month