You are the manager of Fresh Veggie, a diversified vegetable operation in California. You are deciding this year's vegetable crop rotation based on the company's water allocation and other resource constraints. The company operates 12 acres of land across three different counties. The water available for irrigation and the cost of agricultural water varies across each county, as follows: Note: 1 acre-foot is equivalent to 326,000 gallons. The company wants to grow cucumbers, plum tomatoes, sweet onions, and pole beans. Information about water requirements for each crop, cost, and prices is included in the table below: The prices for cucumbers and tomatoes will be estimated using the average wholesale prices observed in the market in 2022. The spreadsheet "HW1-Prices" contains USDA Wholesale terminal market price data for the two crops. The company sells cucumbers in 11/9 cartons (equivalent to 55lbs.) and tomatoes are sold loose in 25lbs, cartons. The company estimates that in order to fulfil client's recurring orders, they must grow at least 1.5 acres of cucumbers and 0.5 acres of pole beans. In addition, the company has forecasted a maximum demand equivalent to 6 acres of tomatoes and 4 acres of onions. Find the optimal crop allocation that maximizes profits. Part 2 - Formulating the LP problem a) Formulate an LP model for this problem. Clearly define the variables, objective function, and constraints. ( 1 point) - Decision variables: - Objective Function: - Constraints: Hint: you will need: - 3 land availability constraints (one for each county) - 3 water allocation constraints (one for each county) - 4 demand - recurring orders constraints (one for each crop) - Non-negativity constraint