cott and Associates, Inc., is an accounting firm that has three new clients. Project leaders will be assigned to the three clients. Based on the different backgrounds and experiences of the leaders, the various leader$-$client assignments differ in terms of projected completion times. The possible assignments and the estimated completion times in days are as follows.Project LeaderClient$123$Jackson $1101632$Ellis $2142240$Smith $3222434($a$)$Develop a network representation of this problem. $($Submit a file with a maximum size of $1$ MB$.)$This answer has not been graded yet.$($b$)$Formulate the problem as a linear program. $($Express your answers in the form xij where xij represents the completion time from leader i to client j$.)$Min x$11+10$x$12+16$x$13+14$x$21+22$x$22+40$x$23+22$x$31+24$x$32+34$x$33$ Changed: Your submitted answer was incorrect. Your current answer has not been submitted.s$.$t$.$Jacksonx$11+$x$12+$x$13=1$ Incorrect: Your answer is incorrect.Ellisx$21+$x$22+$x$23=1$ Incorrect: Your answer is incorrect.Smithx$31+$x$32+$x$33=1$ Incorrect: Your answer is incorrect.Client $1$x$11+$x$21+$x$31=1$ Correct: Your answer is correct.Client $2$x$12+$x$22+$x$32=1$ Correct: Your answer is correct.Client $3$x$13+$x$23+$x$33=1$ Correct: Your answer is correct.xij $0$ for all i$,$ j$.$Solve.RelationshipAssignmentTime $($days$)$x$11$ x$12$ x$13$ x$21$ x$22$ x$23$ x$31$ x$32$ x$33$ What is the total time required $($in days$)?$ days