Question One (10 Marks) (a) Explain the difference between Unbounded solution and bounded solution of linear programming problems (2 Marks) (b) A farmer has a 320 acre farm on which she piants two crops: corn and soybeans. For each acre of corn planted, her expenses are $50 and for each acre of soybeans planted, her expenses are $100. Each acre of corn requires 100 bushels of storage and yields a profit of $60; each acre of soybeans requires 40 bushels of storage and yields a profit of $90. If the total amount of storage space available is 19.200 bushels and the farmer has only $20,000 on hand (i) Formulate the linear model (3 Marks) (ii) Using the graphical method or otherwise. determine hovvr many acres of each crop should she plant in order to maximize her profit (4 Marks) (iii) Find her profit if she follows this strategy (1 Mark) Question 2 (10 Marks) (a) (i) Define time series with example (2 Marks) (ii) Mention two uses of time series (2 Marks) b) Given the following time series data Year 2011 2012 2013 2014 2015 2016 2017 2018 2019 Demand for X in 80 84 80 38 94 84 88 100 32 '000 tons (i) Fit a trend line using 4 yearly-moving average for the time series below (6 Marks) END