The firm XYZ produces certain agricultural products such as sugar beet, wheat, and cotton. There are three different arable lands in the region. The table below represents the maximum arable land in acre and available water resource in m3 .

Land Maximum arable land (acres) Maximum available water (m3) Land 1 500 900 Land 2 700 1000 Land 3 800 1200 The following table shows the maximum quota in acres, unit water consumption and unit profit per acres of each product. Product Maximum quota (acres) Water consumption (m3 /Acre) Profit ($/Acre) Sugar beet 750 5 1450 Cotton 850 3 1350 Wheat 950 2 1250 The management of the XYZ firm would like to determine how many acres of each product should be planted in each land to maximize the total profit. a) Formulte the LP model of the given prob