A Construction Project has indirect costs totaling Rs$.40,000$ per week. The major activities in the project and their expected times are shown in the TABLE below :

Activity Expected Time

$($ in weeks $)$ CRASHING COSTS $($ Rs$.000)$

First Week Second Week Third Week

$1-251822--$

$2-58242525$

$5-77303035$

$7-1141520--$

$11-1311303336$

$1-34122426$

$3-812------$

$8-115404040$

$3-9631012$

$9-1292710$

$12-13126----$

$1-43101525$

$4-612813--$

$6-109512--$

$10-1281415--$

a$.$ Determine the optimum time$-$cost crashing plan.

b$.$ Tabulate the total $$ cost values and find the least expensive crashing schedule that would reduce the project duration by six weeks

$2.$ A project at Day $70$ exhibits $42$ percent progress, when $40$ percent was planned for an effective date of $55.$ Planned cost was Rs$.17,000$ at Day $55$ and Rs$.24,000$ at Day $70,$ and actual cost was Rs$.20,000$ at Day $55$ and Rs$.30,000$ at day $70.$ Find the time variance,

cost variance and schedule varianc