A population is modeled by a function P that satisfies the logistic differential equation dP/dt=P/2(3-P/20) where the initial population P(O)=100 and t is the time in years. (a) What is lim P(t) as t->infinity? (b) For what values of P is the population growing the fastest? (c) Find the slope of the graph of P at the point of inflection

Tom is the deli manager at a grocery store. he needs to schedule employee to staff the deli department for no more that 260 person-hours per week. tom has one part-time employee who works 20 person-hours per week. each full-time employee works 40 person-hours per week. write and inequality to determine n, the number of full-time employees tom may schedule, so that his employees work on more than 260 person-hours per week. graph the solution set to this inequality.