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2. Suppose the time to complete a row is dependent on the number of plants needed. For Lillian, the time it takes her is given by the function: L(x) = 0.5x + 4 where L(x) is time, in hours, and x is the plant density. Similar functions can be written for Roger and Massimo. Work (m) Rate Time (h) Lillian L(x) = 0.5x + 4 Roger R(x) = 2x Massimo M(x) = x +1 a. Create a rate function for each of the employees. Assume all rows are a standard 10 m. b. Plant density at this nursery is given a value from 0 to 10. Create a plot of each rate function. c. For what densities is Lillian the most efficient? For what densities is Roger the most efficient? d. Where are Roger and Massimo equally efficient? Massimo and Lillian? Please show an algebraic and graphical solution