A construction company is negotiating on a construction

project with a six$-$month duration. On the last day of each month

the company may bill the owner for the work completed during the

month. The owner pays the monthly bills $15$ days after they are

received. The owner also holds $10\%$ retention. Final payment is

expected one month after completion of the project and includes

payment of the retention. The company pay materials suppliers in

full when it receives payment from the owner. The company pays

subcontractors when it receives payment from the owner but

withholds $10\%$ from the subcontractor$$s payment. The company pays

for labor weekly. The projected monthly costs and revenues as shown

in Table $2.$ Determine the monthly cash flows and the total cash

generated by the project at the end of each month and just before

each payment is received from the project owner. What is the

maximum amount of cash invested by the company during the

completion of the project?CostsBill to Owner $($$$)$MonthMaterials $($$$)$Labor $($$$)$Sub$.($$$)18,8008,10013,10033,000214,20011,90031,40063,200321,00019,80031,70079,80046,8007,60028,10046,80055,1007,00017,90033,00064,1004,1009,30019,200$Total$60,00058,500131,500275,000$