A consultancy company is considering six projects Each project has been rated on five attributes return on investment (ROI), cost, productivity improvement, worker requirements, and degree of technological risk These ratings are given in table Project 1 Project 2 Project 3 Project 4 Project 5 Project 6 ROI ($) 2070 456 670 350 495 380 Cost ($) 900 240 335 700 410 190 Prod mprovement 3 2 2 0 1 0 Labor needed 18 18 27 36 42 6 Degree of tech Risk 3 0 4 1 1 0 The company has set the following five goals (listed in order of priority) Goal 1 Achieve a return on investment of at least $3250 Goal 2 Limit cost to $1300 Goal 3 Limit labor use to 108 units Goal 4 Limit technological risk to a total of 4 Goal 5 Select at least 3 projects Formulate a preemptive goal programming model to determine which projects should be chosen

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Question: A consultancy company is considering six projects. Each project has been rated on five attributes: return on investment (ROI), cost, productivity improvement, worker requirements, and

A consultancy company is considering six projects. Each project has been rated on five attributes: return on investment (ROI), cost, productivity improvement, worker requirements, and degree of technological risk. These ratings are given in table.

	Project 1	Project 2	Project 3	Project 4	Project 5	Project 6
ROI ($)	2070	456	670	350	495	380
Cost ($)	900	240	335	700	410	190
Prod. mprovement	3	2	2	0	1	0
Labor needed	18	18	27	36	42	6
Degree of tech. Risk	3	0	4	1	1	0

The company has set the following five goals (listed in order of priority): Goal 1: Achieve a return on investment of at least $3250. Goal 2: Limit cost to $1300. Goal 3: Limit labor use to 108 units. Goal 4: Limit technological risk to a total of 4. Goal 5: Select at least 3 projects. Formulate a preemptive goal programming model to determine which projects should be chosen.

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