Give a detailed work please. Answer all as well from.part a to c. Thanks!

2 Grapefruit computers manufacturing problem - linear program (25/100). A company manufactures two types of computer, GamerPro and Surfactant. Manufacturing a GamerPro computer requires 4 hours of labour and 2 computer chips. Each Surfactant computer requires 2 hours of labour and 1 computer chip. There are 800 hours of labour and 700 chips available per month. Grapefruit computers can sell up to 100 Gamer Pro computers. For each GamerPro computer sold the company makes a profit of 150, while the profit on each Surfactant computer is 50. The company's aim is to maximise monthly profits by optimising the production mix of the two computer types. (a) Formulate this problem as a linear program, tabling the required data and stating the objective function and the constraints (10 marks). (b) Using the graphical solution method, sketch the feasible region of the problem, and find the optimal solution. Which, if any, of the constraints are redundant and which are binding at optimality? (10 marks] (c) Give examples of what extra information could be included that would make this analysis more realistic