A construct project consists of $15$ activities. Using the CPM method, the following table has

been inferred, which represents the duration, earliest start, and latest start of each activity. $(20$

pts$)$

Direct cost is assumed to be linearly proportional to the duration of each activity according to

the following relationship:

Direct Cost $=$$$2,000$ Duration

a$)$ Complete the table by adding the direct cost column.

b$)$ Calculate the direct$-$cost outflow for each day based on both earliest and latest start days and

report the results in a table. $($Please include the bar charts for both earliest and latest start days

too$)$

c$)$ Plot the direct$-$cost outflow diagram per days for both earliest and latest start days.

d$)$ Assume that contractor's bid is $$220,000,$ the overhead cost is $$500$ per day $($should be added

to the direct$-$costs calculated in step $b),$ and each week has $5$ working days. Taking the earliest

start day as the reference, if the contractor is paid uniformly in four installments on a biweekly

basis $($starting from day $0),$ draw a diagram showing both total cost $($outflow$)$ and inflow.

e$)$ At day $20,$ is the balance positive or negative? At this day, what are the percentages of total

outflow and inflow?

$***$SHOW ALL CALCULATIONS $,$ TABLES, GRAPHS, & DIAGRAMS$***$