please add the formula's too

2. (40 points) Yorktown Inc, makes two different types of cricket bats. One bat for aggressive batting style and one bat for defensive batting style. The company has 900 hours of production time available in its wood cutting department, 300 hours available for finishing department, and 90 hours available in its packaging and shipping department. The production time requirements and the profit contribution per bat are given in the following table. Model Production Time (hours) Wood Packaging Cutting Finishing and Shipping Profit/Bat Aggressive 2 1/3 1/5 S6 Defensive 1.2 1/2 1/9 $7 1. What is the linear programming model for this problem? 2. Find the optimal solution using the graphical solution procedure. How many bats of each model should Yorktown manufacture? 3. How many hours of production time will be scheduled in each department? 4. What is the slack time in each department