Application of a Linear-Quadratic System The 'Story' A financial advisor compares the changes in the share price of two biotech companies which have been trading for over one year. The Brogen company share price can be modelled by the quadratic function y =14+12x - ? The Ausgen company share price can be modelled by the linear function y = 2x +30 The share price y, is measured in Australian Dollars and the time x is measured in months. (x = 0 corresponds to 1" July 2019 and x = 13 corresponds to 1" August 2020) The Problem a) Graph both functions on the same set of axes and correctly label the axes including the units. b) During which time period are each of these functions valid as a model for share price? e) What were the initial share prices of each company? d) What was the highest Brogen company share price and in which month and year did this occur? For what period of time was the Brogen company share price higher than the Ausgen company share price? f) Did the two biotech companies ever have equal share prices and if so when did this occur? What was the growth rate, dollars/month of the Ausgen company share price during the first six months of trading? 8) h) The financial advisor had advised a client to buy 1000 Brogen shares and 1000 Ausgen shares on the 1" July 2019. The client sold the shares 13 months later on the 1" August 2020. What profit or loss did the client make on these shares