1.) The school's florist has to order roses and carnations for Valentine's Day. Roses cost the florist $20 per dozen and carnations cost $5 per dozen. The profit on roses is $20 per dozen and on carnations it is $8 per dozen. The florist
can spend at most $450 on flowers and must order at least 20 dozen carnations, but the florist can order no more
than 60 dozen flowers. How many of each flower gives the florist the greatest profit?
(10 points)

The biologist has a second culture to examine. she knows that the population of the culture doubles every 15 minutes. after 1 hour and 15 minutes, her assistant found that 80,000 bacteria were present. a) what was the size of the initial population? b) predict the size of the culture at t=3 hours. what was the size of the population at 40 minutes? explain and justify your answers. c) create a graph of the population as a function of time. find an equation that can be used to predict the size of the population at any time t. d) examine the rate at which the bacteria culture is growing. how fast is the culture growing after 1 hour? after 1.5 hours? after 2 hours? use a time interval of h = 0.01 hours to estimate these rates. interpret these rates in terms of the context of the problem situation. how do these three rates compare?