Utilize Matlab to

6. Linear Optimization: A farmer has recently acquired a 110 hectares piece of land. He has decided to grow wheat and barley on that land. Due to the quality of the sun and the region's excellent climate, the entire production of wheat and barley can be sold. He wants to know how to plant each variety in the 110 hectares, given the costs, net profits and labor requirements according to the data shown below: Variety Wheat Barley Cost($/Hec) 300 400 Net Profit ($/Hec) Man-days/Hec 500 10 1200 30 The farmer has a budget of US$50,000 and availability of 1,200 man-days during the planning horizon. (a) How many hectares of wheat and barley should the farmer plan to grow? What is the maximal profit? (10 points) (b) The farmer decides to hire two part-time labor workers so that he could have availability of 2,000 man- days. Each worker demands a paycheck of $3500 at the end of the year. Would you advise the farmer to hire them? Provide evidence from your MATLAB calculations. (10 points)