A farmer has 80 hectares of his farm available for planting maize and cabbages. He must grow at least 10 hectares of maize and 20 hectares of cabbages to meet demands. He prefers to plant more cabbages than maize but his work force and equipment will only allow him to cultivate a maximum of three times the quantity of cabbages to that of maize.

1. Represent the information above as a system of inequalities

2. Sketch a graph of these inequalities

3. If the profit on maize is R800 per hectare and on cabbage R500 per hectare, how should the farmer plant the two crops to make a maximum profit and what is this profit.

Excel.

As previously noted, please set up your problem in Excel and find the solution using Solver. Clearly label the cells in your spreadsheet. You will turn in the entire spreadsheet, showing the setup of the model, and the results.