Question

which car do you think would mr. chua consider?

mr. chua wants to buy a new car. he has the following criteria to help him decide what brand to buy.

• external look 10%
• vehicle dependability 40%
• fuel economy 20%
• ultimate comfort 30%

the table shows the ratings he gave to the different brands of cars.

brands	external look	vehicle dependability	fuel economy	ultimate comfort
syondae	6	10	8	4
khadillak	4	7	3	9
horhd	7	6	9	3

options:

• syondae
• foyota
• horhd
• khadillak

Explanation:

Step1: Calculate weighted score for Foyota

Weighted score = (External Look * 0.1) + (Vehicle Dependability * 0.4) + (Fuel Economy * 0.2) + (Ultimate Comfort * 0.3)
For Foyota: $(5\times0.1)+(9\times0.4)+(7\times0.2)+(6\times0.3)$ = $0.5 + 3.6 + 1.4 + 1.8$ = $7.3$

Step2: Calculate weighted score for Syondae

For Syondae: $(6\times0.1)+(10\times0.4)+(8\times0.2)+(4\times0.3)$ = $0.6 + 4 + 1.6 + 1.2$ = $8.4$ Wait, no, wait, recalculate: 6*0.1=0.6, 10*0.4=4, 8*0.2=1.6, 4*0.3=1.2. Sum: 0.6+4=4.6, 4.6+1.6=6.2, 6.2+1.2=7.4? Wait, no, I made a mistake. Wait 10*0.4 is 4, 8*0.2 is 1.6, 4*0.3 is 1.2, 6*0.1 is 0.6. So 0.6+4=4.6, +1.6=6.2, +1.2=7.4. Wait, earlier wrong. Let's recalculate all.

Wait, let's do each brand properly:

Foyota:
External Look: 5 * 0.1 = 0.5
Vehicle Dependability: 9 * 0.4 = 3.6
Fuel Economy: 7 * 0.2 = 1.4
Ultimate Comfort: 6 * 0.3 = 1.8
Total: 0.5 + 3.6 = 4.1; 4.1 + 1.4 = 5.5; 5.5 + 1.8 = 7.3. Correct.

Syondae:
External Look: 6 * 0.1 = 0.6
Vehicle Dependability: 10 * 0.4 = 4.0
Fuel Economy: 8 * 0.2 = 1.6
Ultimate Comfort: 4 * 0.3 = 1.2
Total: 0.6 + 4.0 = 4.6; 4.6 + 1.6 = 6.2; 6.2 + 1.2 = 7.4.

Khadillak:
External Look: 4 * 0.1 = 0.4
Vehicle Dependability: 7 * 0.4 = 2.8
Fuel Economy: 3 * 0.2 = 0.6
Ultimate Comfort: 9 * 0.3 = 2.7
Total: 0.4 + 2.8 = 3.2; 3.2 + 0.6 = 3.8; 3.8 + 2.7 = 6.5.

Horhd:
External Look: 7 * 0.1 = 0.7
Vehicle Dependability: 6 * 0.4 = 2.4
Fuel Economy: 9 * 0.2 = 1.8
Ultimate Comfort: 3 * 0.3 = 0.9
Total: 0.7 + 2.4 = 3.1; 3.1 + 1.8 = 4.9; 4.9 + 0.9 = 5.8.

Wait, so Syondae: 0.6 (external) + 4.0 (dependability) + 1.6 (fuel) + 1.2 (comfort) = 7.4? Wait no, 10*0.4 is 4, 8*0.2 is 1.6, 4*0.3 is 1.2, 6*0.1 is 0.6. Sum: 0.6 + 4 = 4.6; 4.6 + 1.6 = 6.2; 6.2 + 1.2 = 7.4.

Foyota: 0.5 + 3.6 = 4.1; +1.4 = 5.5; +1.8 = 7.3.

Khadillak: 0.4 + 2.8 = 3.2; +0.6 = 3.8; +2.7 = 6.5.

Horhd: 0.7 + 2.4 = 3.1; +1.8 = 4.9; +0.9 = 5.8.

Wait, but wait, maybe I miscalculated Syondae. Wait 10*0.4 is 4, 8*0.2 is 1.6, 4*0.3 is 1.2, 6*0.1 is 0.6. So 0.6 + 4 = 4.6, 4.6 + 1.6 = 6.2, 6.2 + 1.2 = 7.4.

Wait, but let's check again. Wait the problem is, maybe I made a mistake. Wait the options are Syondae, Foyota, Horhd, Khadillak.

Wait, maybe I messed up the weights. The criteria are External Look 10%, Vehicle Dependability 40%, Fuel Economy 20%, Ultimate Comfort 30%. So weights are 0.1, 0.4, 0.2, 0.3. Correct.

Now, let's recalculate Syondae:

External Look: 6 * 0.1 = 0.6

Vehicle Dependability: 10 * 0.4 = 4.0

Fuel Economy: 8 * 0.2 = 1.6

Ultimate Comfort: 4 * 0.3 = 1.2

Sum: 0.6 + 4.0 = 4.6; 4.6 + 1.6 = 6.2; 6.2 + 1.2 = 7.4.

Foyota:

5*0.1=0.5; 9*0.4=3.6; 7*0.2=1.4; 6*0.3=1.8. Sum: 0.5+3.6=4.1; +1.4=5.5; +1.8=7.3.

Khadillak:

4*0.1=0.4; 7*0.4=2.8; 3*0.2=0.6; 9*0.3=2.7. Sum: 0.4+2.8=3.2; +0.6=3.8; +2.7=6.5.

Horhd:

7*0.1=0.7; 6*0.4=2.4; 9*0.2=1.8; 3*0.3=0.9. Sum: 0.7+2.4=3.1; +1.8=4.9; +0.9=5.8.

Wait, but Syondae's total is 7.4, Foyota 7.3, Khadillak 6.5, Horhd 5.8. So Syondae has higher? But wait, maybe I made a mistake in Syondae's Ultimate Comfort. Wait Syondae's Ultimate Comfort is 4? The table says Syondae: External 6, Vehicle 10, Fuel 8, Ultimate 4. Yes. So 4*0.3=1.2. Correct.

Wait, but maybe the question has a typo, like Foyota is Toyota? But regardless, according to the numbers, Syondae has 7.4, Foyota 7.3. Wait but maybe I miscalculated. Wait let's do Syondae again: 6*0.1=0.6, 10*0.4=4, 8*0.2=1.6, 4*0.3=1.2. 0.6+4=4.6, 4.6+1.6=6.2, 6.2+1.2=7.4. Foyota: 5*0.1=0.5, 9*0.4=3.6, 7*0.2=1.4, 6*0.3=1.8. 0.5+3.6=4.1, 4.1+1.4=5.5, 5.5+1.8=7.3. So Syondae is 7.4, Foyota 7.3. So Syondae is higher? But wait, maybe the table's Syondae's Ultimate Comfort is 4, correct.

Wait, but let's check Khadillak: 4*0.1=0.4, 7*0.4=2.8, 3*0.2=0.6, 9*0.3=2.7. Sum: 0.4+2.8=3.2, +0.6=3.8, +2.7=6.5. Horhd: 7*0.1=0.7, 6*0.4=2.4, 9*0.2=1.8, 3*0.3=0.9. Sum: 0.7+2.4=3.1, +1.8=4.9, +0.9=5.8.

So Syondae has the highest score? Wait but maybe I made a mistake. Wait the problem's options: Syondae, Foyota, Horhd, Khadillak.

Wait, maybe the weights are different? Wait the criteria are External Look 10%, Vehicle Dependability 40%, Fuel Economy 20%, Ultimate Comfort 30%. So weights are 0.1, 0.4, 0.2, 0.3. Correct.

Alternatively, maybe I misread the table. Let's check the table again:

Brands: Foyota, Syondae, Khadillak, Horhd.

Foyota: External 5, Vehicle 9, Fuel 7, Ultimate 6.

Syondae: External 6, Vehicle 10, Fuel 8, Ultimate 4.

Khadillak: External 4, Vehicle 7, Fuel 3, Ultimate 9.

Horhd: External 7, Vehicle 6, Fuel 9, Ultimate 3.

Yes. So calculations:

Foyota: 5*0.1=0.5; 9*0.4=3.6; 7*0.2=1.4; 6*0.3=1.8. Sum: 0.5+3.6=4.1; +1.4=5.5; +1.8=7.3.

Syondae: 6*0.1=0.6; 10*0.4=4; 8*0.2=1.6; 4*0.3=1.2. Sum: 0.6+4=4.6; +1.6=6.2; +1.2=7.4.

Khadillak: 4*0.1=0.4; 7*0.4=2.8; 3*0.2=0.6; 9*0.3=2.7. Sum: 0.4+2.8=3.2; +0.6=3.8; +2.7=6.5.

Horhd: 7*0.1=0.7; 6*0.4=2.4; 9*0.2=1.8; 3*0.3=0.9. Sum: 0.7+2.4=3.1; +1.8=4.9; +0.9=5.8.

So Syondae has 7.4, Foyota 7.3, so Syondae is higher. So the answer should be Syondae? Wait but maybe I made a mistake. Wait let's check Syondae's Vehicle Dependability is 10, which is high, so 40% weight. Fuel Economy 8, 20% weight. External 6, 10% weight. Ultimate Comfort 4, 30% weight. So even though Ultimate Comfort is low, Vehicle Dependability and Fuel Economy are high. So Syondae's score is 7.4, Foyota 7.3. So Syondae is higher.

Wait, but maybe the question has a typo, like Foyota is Toyota, but according to the given data, Syondae has higher. So the answer is Syondae? Wait but let's check again.

Wait, maybe I miscalculated Syondae's total. 6*0.1=0.6, 10*0.4=4, 8*0.2=1.6, 4*0.3=1.2. 0.6+4=4.6, 4.6+1.6=6.2, 6.2+1.2=7.4. Correct.

Foyota: 5*0.1=0.5, 9*0.4=3.6, 7*0.2=1.4, 6*0.3=1.8. 0.5+3.6=4.1, 4.1+1.4=5.5, 5.5+1.8=7.3. Correct.

So Syondae has higher. So the answer is Syondae.

Answer:

A. Syondae