please solve it in detail and please make sure that a,b,c,d especially points (e,f,g) are solved

Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher's model. The firm has more than 900 hours of production time available in its cutting and sewing department, 300 hours available in its finishing department, and more than 100 hours available in its packaging and shipping department. The production time requirements and the profit contribution per glove are given in the following table: and Profit/Glove Production Time (hours) Model Cutting and Finishing Packaging Sewing Shipping Regular model 2 1/8 Catcher's model 3/2 1/3 1/4 S8 SS a. Determine the liner programming model (3 marks) b. Solve graphically and identify the feasible region. (4 marks) c. Find the extreme points. (5 mark) d. Compute optimal combination of regular and catcher model of gloves that must be made to maximizes the profit graphically and interpret the optimal solution. (3 marks) e. Write is the standard form of the linear programming model? (3 marks) f. How much of slack resource will be left unused at the optimal solution? (2 marks) g. What are the binding, non-binding and redundant constraints