A manufacturer produces three types of detergents, Ky, Lo and Mi. Each type of detergent is produced using two machines, machine A and machine B. The following table gives the information on the usage of the machines. Due to the cost and manpower relationship, machine A must be used for at most 180 hours while the maximum capacity for machine B is 240 hours. The profit obtained from each unit of detergent Ky is RM53, from each unit of detergent Lo is RM62 and from each unit of detergent Mi is RM75. The manufacturer wishes to know the quantity of each type of detergent to be produced in order to maximize its profit. a) Formulate the problem above as a Linear Programming Model. [4 marks] b) Set up the initial simplex tableau by including the necessary slack variables. [Do not solve until the final simplex table] [3 marks]