Operations research. formulate (without solving) the following linear programing problem. Clearly define the meaning of each decision variable, as well as the objective function and all constraints. A farmer has 100 acres to farm, 1,500 man-hours, and $150,000 to invest in agricultural production this season. The crops he's considering are: green beans, soybeans, corn, and lima beans. The cost of using farm machinery is $30 per hour and the cost of labor is $20 per man-hour. The following data refers to one acre of the corresponding crop: Crop Workforce (man- hours/acre 50 Green beans Soy beans Corn Lima beans Machine time (hours/acre) 15 30 5 15 Additional costs Gross income ($) ($/acre) 1,000 2,800 900 3,100 400 900 1,000 3,250 30 10 40 The additional costs for the above table include seeds, fertilizers, and pesticides. Formulate a linear program that defines the optimal cultivation plan, assuming that each acre that isn't used for cultivation requires some maintenance at a cost of $500 per each acre not used during this season