(OEM) is deciding on a new engine for its sports sedan. The three primary evalua
ID: 3048722 • Letter: #
Question
(OEM) is deciding on a new engine for its sports sedan. The three primary evaluation criteria are fuel efficiency, torque, and acceleration. Three engine concepts are being evaluated (A, B, and C). Through a pairwise comparison process, the following relationships were found between the criteria (Action 1-Find Weight, Step 1) Fuel efficiency Torque Acceleration Fuel efficiency 1 Torque Acceleration 1/4 1/3 Perform Step 2- Normalize Perform Step 3- Find the weight of each criteria by taking the mean of each row of the normalized matrix. Perform Step 4 Check for consistency Then the three engine concepts are pairwise compared against each criteria (Action 2-Scoring, Step I) and the comparisons are shown in the three tables below Fuel 1/2 1/2 Torque A B 1/5 1/3 Acceleration A 1/4 Perform Step 2 of Action 2 (Scoring), by normalizing then perform Step 3-finding the score of each concept by taking the mean of each row of the normalized matrix. Also, perform step 4 for consistency Finally, perform Action 3 and find the weighted scores then determine which is the best engine concept A, B, or CExplanation / Answer
Fuel Efficiency Torque Acceleration Fuel Efficiency 1.00 4.00 7.00 RI for n=3 0.58 Torque 0.25 1.00 3.00 Lambda 3.052841 Acceleration 0.14 0.33 1.00 Consistency Index 0.02642 Total 1.39 5.33 11.00 Consistency Ratio 0.045552 Weightage Fuel Efficiency Torque Acceleration Average Fuel Efficiency 0.72 0.75 0.64 0.70 Torque 0.18 0.19 0.27 0.21 Acceleration 0.10 0.06 0.09 0.09 Fuel Efficieny A B C A 1 2 2 B 0.5 1 1 Lambda 3 C 0.5 1 1 Consistency Index 0 Total 2 4 4 Consistency Ratio 0 Weightage Fuel Efficieny A B C Average A 0.5 0.5 0.5 0.5 B 0.25 0.25 0.25 0.25 C 0.25 0.25 0.25 0.25 Torque A B C A 1.00 3.00 0.20 B 0.33 1.00 0.13 Lambda 3.07745 C 5.00 8.00 1.00 Consistency Index 0.038725 Total 6.33 12.00 1.33 Consistency Ratio 0.066767 Weightage Torque A B C Average A 0.16 0.25 0.15 0.19 B 0.05 0.08 0.09 0.08 C 0.79 0.67 0.75 0.74 Acceleration A B C A 1.00 0.25 4.00 B 4.00 1.00 7.00 Lambda 3.122743 C 0.25 0.14 1.00 Consistency Index 0.061372 Total 5.25 1.39 12.00 Consistency Ratio 0.105813 Weightage Acceleration A B C Average A 0.19 0.18 0.33 0.23 B 0.76 0.72 0.58 0.69 C 0.05 0.10 0.08 0.08 New Engine Fuel Efficiency Torque Acceleration 0.701 0.213 0.085 A B C A B C A B C 0.500 0.250 0.250 0.186 0.077 0.737 0.234 0.688 0.078 A 0.410 B 0.250 C 0.339 So A is the better engine
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