A construction company has an expenditure rate of E'(x) = 30\"" dollars per day on a particular paving job and an income rate of l'(x) = 116.1 - 60'1\" dollars per day on the same job, 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. Prot will be maximized if the job ends at the optimum time, which is the point where the two curves meet. (a) Find the optimum number of days for the job to last. (b) Find the total income for the optimum number of days. (0) Find the total expenditures for the optimum number of days. (d) Find the maximum profit forthe job. (a) D days (Round to the nearest integer as needed.) (b) The total income for the optimum number of days will be $D. (Round to the nearest cent as needed.) (0) The total expenditures for the optimum number of days will be $D. (Round to the nearest cent as needed.) (d) The maximum prot for the job will be 35D. (Round to the nearest cent as needed.)