(a) Develop a network representation of the problem. (Submit a file with a maximum size of 1MB.) No file chosen (b) Formulate the problem as a linear program, with the optimal solution providing the hours each consultant should be scheduled for each client to maximize the consulting firm's billings. (i) Let xij= number of hours from consultant i assigned to client j, using the indices from the tables. For example, x34 is the number of hours Campbell spends with Client D. Max Assignments for Avery HAA+HAB+HAC+HAD160 Check which variable(s) should be in your answer. Assignments for Baker Check which variable(s) should be in your answer. Assignments for Campbell Assignments to Client A Enter an equation. Assignments to Client B Enter an equation. Assignments to Client C Enter an equation. Assignments to Client D x14+x24+x3422 Enter an equation. xij0foralli,j (ii) What is the schedule? (x11,x12,,x33,x34)=( (iii) What is the total billing? (Express your answer in dollars. Round you answer to the nearest whole number.) $ (i) revised schedule (x11,x12,,x33x34)=((I)) (ii) impact on billing Due to the change total revenue will