KPNG Consulting has five projects to consider. Each will require time in the next four quarters...

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General Management

KPNG Consulting has five projects to consider. Each will requiretime in the next four quarters according to the table below
Project Time in 1st quarter Time in 2nd quarter Time in 3rd quarter Time in 4th quarter Revenue $k
A 6 9 3 1 240
B 4 13 6 4 120
C 8 0 8 6 150
D 3 3 1 7 60
E 12 3 4 9 250
Revenue from each project is also shown. Develop a model whosesolution would maximize revenue, meet the time budget of: 28 in the1st quarter, 20 in the 2nd quarter, 18 in the 3rd quarter and 16 inthe 4th quarter; at least three projects; and not do both projectsC and D. If project B is chosen, project D must be chosen.

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Answer We will formulate the required model as mentioned below Decision Variable Let Decision Variables A 1 If Project A is Selected 0 Otherwise B 1 If Project B is Selected 0 Otherwise C 1 If See Answer

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Project	Time in 1st quarter	Time in 2nd quarter	Time in 3rd quarter	Time in 4th quarter	Revenue $k
A	6	9	3	1	240
B	4	13	6	4	120
C	8	0	8	6	150
D	3	3	1	7	60
E	12	3	4	9	250