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An investment project is a set of payments or withdrawals Ci that are made at time ti. (a) Show that project C=(C1,,Cn) at times (t1,,tn), respectively, has the same duration as project C=(kC1,. kCn) at times (t1,,tn). (b) Show that if project C=(C1,,Cn) at times (t1,tn), respectively, has duration d, then project C=(C1,,Cn) at times (t1+t,,tn+t) has duration d+t "Note: please answer in detail showing every step, thank you. An investment project is a set of payments or withdrawals Ci that are made at time ti. (a) Show that project C=(C1,,Cn) at times (t1,,tn), respectively, has the same duration as project C=(kC1,. kCn) at times (t1,,tn). (b) Show that if project C=(C1,,Cn) at times (t1,tn), respectively, has duration d, then project C=(C1,,Cn) at times (t1+t,,tn+t) has duration d+t "Note: please answer in detail showing every step, thank you