1. Suppose the total cost in pesos of manufacturing q units of a certain commodity is given by the function C(g)=q³-30q²+400q+500. a. compute the cost of manufacturing the 20 units b. compute the cost of manufacturing the 20^th units c. what is the domain function? 2. An efficiency study of the morning shift at a certain factory indicates that an average worker who arrives on the job at 8:00AM will have assembled. f(x)=x³+6x²+15x television sets x hours later a. how many sets will such a worker have assembled by 10:00AM? (hint: at 10:00AM x=2) b. How many sets will such a worker assemble between 9:00AM and 10:00AM? 3. An importer of Brazilian coffee estimates that local consumer will buy approximately Q(p)=4,374/p² kilograms of the coffee per week when the price is p pesos per kilogram. It is estimated that t weeks from now the price of this coffee will be p(t)=0.04t²+0.2t+12 pesos per kilograms. a. express the weekly consumer demand for the coffee as a function of t. b. How many kilograms of the coffee will consumers be buying from the importer 10 weeks from now. c. When will the demand for the coffee be 30.375 kilograms?