Business Decisions Sharon, the owner of the Brentwood Motel, is planning to renovate all the rooms in her motel. There are two plans before her. Plan A calls for an immediate cash outlay of $600,000, whereas plan B calls for an immediate outlay of $300,000. Sharon estimates that adopting plan A would yield an income stream of f(t) = 3,070,000e0-02f dollars/year for the next 5 years, whereas adopting plan B would yield an income stream of g(t) = 3,100,000 dollars/year for the next 5 years. If the prevailing rate of interest is 3%/year compounded continuously, which plan will yield the higher net income (in dollars) at the end of 5 years? plan A plan B Area. Suppose the area of a circle is decreasing at a rate of2m/sec, the rate of change of the radius when the area is12m equals O 0.1629 m/s O -6.1400 m/s 150.7964 m/s O -150.7964 m/s 6.1400 m/s O -0.1629 m/sCost Function. Suppose the cost to manufacture a product is given by f(x,y) = x/Eh The domain of f(x,y) is the set of all points (x,y) in the xy-plane the set of all points (x,y) in the xy-plane where x 2 0 and y z 0 the set of all points (x,y) in the xy-plane where y a 0 none of the other answers the set of all points (X,y) in the xy-plane where x 2 0