# Farmer Dave's Decision Problem

Created for SIT718 Real World Analytics Practical Class 1
A visualisation for Problem 1: Farmer Dave's Decision Problem.
To feed his stock, Dave the farmer can purchase two types of feed. He has decided that each day his herd requires 60, 84, and 72 units of nutritional elements A, B, and C, respectively. The contents and costs of a pound of each of the two feed are given in the following table.
| A | B | C | Cost (cents/lb) |

Feed 1 | 3 | 7 | 3 | 10 |

Feed 2 | 2 | 2 | 6 | 3 |

Formulate an LP model to minimize the total cost of feed, and use the graphical method to solve the LP.
**Instructions**
- You can toggle each inequality on and off simply by clicking the coloured circles next to each inequality.
- The objective function is the black line, and you can move it left and right by adjusting the slider.
- What is the easiest way to sketch each inequality by hand?
- What does it mean when you increase z? What about decreasing z?