   Directions : Study the following table chart carefully and answer the questions given beside.

TATA, A car manufacturing company, has five manufacturing units A, B, C, D, and E in India where it manufactures two models of cars (Nano and Sumo). The following tables gives the information about the production capacity of the five manufacturing units of India for the year 2017. Capacity Utilization is the actual production in a year expressed as percentage of the Production Capacity of the given manufacturing units in that year.

 Nano Sumo Manufacturing units Production Capacity (In 1000 units) Capacity Utilization (In %) Production Capacity (In 1000 units) Capacity utilization (In %) A 36 40% 34 80% B 32 50% 28 60% C 20 80% 28 70% D 60 30% 75 95% E 42 90% 62 70%

Important for :
1
Which manufacturing units has the absolute maximum difference between the total production of Nano and that of Sumo in the year 2017?
» Explain it
D
For unit A,

Total production of Nano = 40% of 36000 = 14,400

The total production of Sumo = 80% of 34000 = 27200

Difference = 12800

For unit B,

The total production of Nano = 50% of 32000 = 16000

The total production of Sumo = 60% of 28000 = 16800

Difference = 800

For unit C,

The total production of Nano = 80% of 20,000 = 16000

The total production of Sumo = 70% of 28000 = 19600

Difference = 3600

For unit D,

The total production of Nano = 30% of 60000 = 18000

The total production of Sumo = 95% of 75000 = 71250

Difference = 53250

For unit E,

The total production of Nano = 90% of 42000 = 37800

The total production of Sumo = 70% of 62000 = 43400

Difference = 5600

It is clear that the absolute difference is maximum for unit D

Hence, option D is correct.
2
What is the difference between TATA’s total production capacity of Nano and that of Sumo in the year 2017?
» Explain it
A
TATA’s total production capacity of Nano in the year 2017 = 36 + 32 + 20 + 60 + 42 = 190 thousand

TATA’s total production capacity of Sumo in the year 2017 = 34 + 28 + 28 + 75 + 62 = 227 thousand

The required difference = 37 thousand

Hence, option A is correct.
3
By what percentage (approximately) the capicity utilization of Nano manufacturing units A and E together is more or less than the capicity utilization of Sumo manufacturing units B and D in 2017?
» Explain it
A
The capacity utilization for Nano in the year 2017 at A and E = 40% of 36k + 90% of 42k

= 14400 + 37800

= 14400 + 37800

= 52200

The capacity utilization for Sumo in the year 2017 at B and D = 60% of 28k + 95% of 75k

= 16800 + 71250

= 88050

Clearly, the capcity utilization of Nano is less than that of Sumo at given manufacturing units for 2017 by

= 35850

The req percentage = (35850/88050) x 100% = 40%

Hence, option A is correct.
4
What is the sum of the total number of cars manufactured by TATA in India in the year 2017?
» Explain it
B
The total of Nano manufactured in the year 2017 = 40% of 36 k + 50% of 32 k + 80% of 20 k + 30% of 60 k + 90% of 42 k = 102200

The total number of Sumo manufactured in the year 2017 = 80% of 34 k + 60% of 28 k + 70% of 28 k + 95% of 75 k + 70% of 62 k = 178250

Required sum = 280450

Hence, option B is correct.
5
The production capacity of TATA in India for Nano in the year 2017 is approximately what percent of the production capacity of TATA in India for Sumo in that year?
» Explain it
D
TATA’s total production capacity of Nano in the year 2017 = 36 + 32 + 20 + 60 + 42 = 190 thousand

TATA’s total production capacity of Sumo in the year 2017 = 34 + 28 + 28 + 75 + 62 = 227 thousand

 Reqd. % = 190 × 100 = 83% approximately 227

Hence, option D is correct.
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