Please find solutions for a,b,c,d and ensure the solutions are written clearly steps by steps

Aconstr'uction company has an expenditure rate of E'(x) = e 0-19" dollars per day on a particular paving job and an income rate of ['00 = 124.2 - e 0-19" dollars per day on the same fob, where x is the number of days from the start of the job. The company's prot on that job will equal total income less total expenditures. Profit will be maximized if thejob ends at the optimum time. which is the point where the two curves meet. ' (3) Find the optimum number of days for the Job to last. (b) Find the total income for the optimum number of days. (c) Find the total expenditures for the optimum number of days. (d) Find the maximum prot for the job. (a) D days (Round to the nearest integer ae needed.)