15. Sketch the graph of the function f(x) with all of the following properties [10 points] f'(x) > 0 for x 3 f'(x) 0 for x>1 + 16. An importer of Brazilian coffee estimates that the local consumers will buy about D(p) = 4, 374 pounds p of the coffee per week when the price is p dollars per pound. It is also estimated that t weeks from now, the price of Brazilian coffee will be p(t) =0.02t +0.It +6 dollars per pound. [10pts. ] a. At what rate will the demand for the coffee be changing with respect to price when the price is $9.00? a. b.At what rate will the demand for coffee be changing with respect to time 10 weeks from now