This is to be coded in matlab, using a similar code to this to execute it.

PROBLEM STATEMENT: A GMU student is performing a bacteriology experiment at the Science and Technology Campus in Manassas. At 9:00am she prepares an agar plate with 1.0e+05 bacteria and places it in a temperature controlled cabinet for observation. The bacterial colony growth rate is 5.5% per hour, and the death rate is 0.75% per hour. She measures the size of the colony-that is, counts the number of bacteria in it--at 3:00pm and again at 7:00pm (i.e., at the beginning of the seventh and eleventh hours, respectively). At the end of the ninth hour, the bacterial colony is exposed to UV light, which sterilizes the bacteria and also increases their death rate from 0.75% per hour to 3.75% per hour. At the beginning of the sixteenth hour, the bacteria colony is removed from the cabinet and a final count is performed Using the population equation modeling framework, write Matlab code to answer (a) and (b) below: a) How many bacteria are present in the colony at the beginning of the seventh, eleventh, and sixteenth hours, when the counts are performed? In order to answer these questions, you will need to understand what it means to sterilize a living organism. Prepare a plot showing the hour-to-hour size of the bacterial colony, from the beginning of the first hour to the beginning of the sixteenth hour. b)