All reports you wrtoe for one class had three sections intro

All reports you wrtoe for one class had three sections: introduction, analysis, conclusion. The times required to complete these sections (including typing) are shown below in hours.

The class requires five reports in all. You are now starting report 4, and although you are working faster, you can afford to spend only 1 hour a day on these reports. Report 5 is due in one week (7 days). Will you be done in time (yes or no)? Please show your calculations.

Solution

total amount of time We have,

T = 7 hours; each day 1 hour for whole week.

Now; efficiency in each section is increasing linearly;

or time required decreasing linearly;

so from data above we can say that;

for introduction, time is decreasing as 1.5, 1.25, 1, 0.75, 0.5;

for analysis, time is decreasing as 6, 4.5, 3, 1.5, 1;

for introduction, time is decreasing as 2, 1.4, 0.8, 0.6, 0.2;

so time required for report 4, = 3.05

for report 5 we have , 1.7;

total time is; 4.75 hours < 7

we will complete our report.