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Quote:

A certain electric utility is considering exactly two designs (Designs 1 and 2) for a new power generation plant. Each design would result in a plant that would generate the same amount of power annually; but Design 1 would use a single Type A power generator, whereas Design 2 would use three Type B power generators.

Type A generators cost less than Type B generators to fuel per unit of power generated and vent through taller chimneys, which better prevent pollutants from concentrating near the plant. However, Type A generators produce solid waste that is difficult and expensive to dispose of safely.

Type B generators produce no solid waste and, as compared to Type A generators, vent approximately half as much Pollutant X, and even less Pollutant Y, per unit of power generated annually. However, Type B generators vent through much shorter chimneys.
Attachment:
123.jpg
­

Question 2.

For each of the following statements, select Yes if the statement accurately reflects the information given in the tabs. Otherwise, select No

During the startup phase, the Design 1 power plant would emit more Pollutant Y per hour than would the Design 2 power plant.

During startup, Design 1 (using one Power A) will emit 744 kg/hr of pollutant X
During startup, Design 2 (using three Power B) will emit 203*3 = 609 kg/hr of pollutant X

YES, Design 1 power plant would emit more Pollutant Y per hour than would the Design 2 power plant.

During the normal generating phase, the emissions per hour of Pollutant Y from the Design 2 power plant would be less than 5% of those from the Design 1 power plant.

During the normal generating phase, emissions per hour of Pollutant Y from Design 1 will be 218 kg/hr
During the normal generating phase, emissions per hour of Pollutant Y from Design 2 will be 6*3 = 18 kg/hr

10% of 218 is about 21 so 18 is much more than 5% of 218.

NO, the emissions per hour of Pollutant Y from the Design 2 power plant would be MORE than 5% of those from the Design 1 power plant.

During the normal generating phase, the contribution to the ground-level concentration of Pollutant Y from the Design 2 power plant would be less than 25% of that from the Design 1 power plant.

During the normal generating phase, Design 1 contribution to ground level pollution of Y is 13 mcg/m^3
During the normal generating phase, Design 2 contribution to ground level pollution of Y is 3*3 = 9 mcg/m^3

9 is more than 25% of 13.

NO, the contribution to the ground-level concentration of Pollutant Y from the Design 2 power plant would be MORE than 25% of that from the Design 1 power plant.
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Quote:

A certain electric utility is considering exactly two designs (Designs 1 and 2) for a new power generation plant. Each design would result in a plant that would generate the same amount of power annually; but Design 1 would use a single Type A power generator, whereas Design 2 would use three Type B power generators.

Type A generators cost less than Type B generators to fuel per unit of power generated and vent through taller chimneys, which better prevent pollutants from concentrating near the plant. However, Type A generators produce solid waste that is difficult and expensive to dispose of safely.

Type B generators produce no solid waste and, as compared to Type A generators, vent approximately half as much Pollutant X, and even less Pollutant Y, per unit of power generated annually. However, Type B generators vent through much shorter chimneys.
Attachment:
123.jpg
­
Question 3.

Suppose that the startup phase for Type A generators takes exactly one hour. Given this and based on the information in the tabs, which one of the following would be closest to the startup time, in hours, for Type B generators that would result in equal emissions of Pollutant Y for both power plant designs during a single startup phase?

Type A produces 744 kg/hr of pollutant Y. So in 1 hr, it produces 744 kg of pollutant Y.
Type B produces 203 kg/hr of pollutant Y. Since 3 of these are used in design 2, 609 kg of pollutant is produced in an hour. Hence to produce 744 kg of pollutant, these 3 type B should be run for a bit more than 1 hour.

Only 1.22 suits of the given options.

ANSWER: 1.22
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1)Yes,Since design 1 generates 744 kg/hr while design 2 generates 203 kg/hr
No, Since the value for Design 1 in normal phase is 218 while for Design 2 it is 6,so it is not even in the range of 5%
No,Since the increase in emission level in Design 2 in normal phase is 3 while in Design 1 it is 13 so it is not in the 25% range, because 25% would be around 10.


2)Only statement 1 is Yes,since the cost is less for Design 1 but it will generate more solid waste and more pollutant than that by Design 2


3)A,since in design 1 the emission per hour during startup is 744,while in design 2 it is 203,so per the question the time is 1 hour for Type A,so time for Type B, considering equal emission is:

744*1= 203*x*3

x=1.22

Thanks for pointing out the important case

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1.1
Yes --- Type A generators cost less than Type B generators to fuel per unit of power generated
No --- Type A generators produce solid waste that is difficult and expensive to dispose of safely.
No --- Type B generators produce no solid waste and, as compared to Type A generators, vent approximately half as
much Pollutant X, and even less Pollutant Y, per unit of power generated annually.

1.2 ( from table)
Yes --- A ( 744 x 1 ) B ( 203 x 3 )
No --- Type 1- 218 therefore 5 % = 10.9 , type 2 - 3 x 6 = 18
No --- Type 1 - 13 , Type 2 - 3 X 3 = 9 is more that 25 % of type 1

1.3 - D 1.22
During startup = emission by Type A in 1 hr = 744 kg
During stratup of 2 - 3 no of type B generator = 3 * 203 kg /hr
Hence no of hours type 2 should run to emit same quantity of Y emissions from type 1 ( 1 no A ) = 744 / ( 3* 203) = 1.22
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1.1 Suppose that the utility chooses Design 1 over Design 2. For each of the following motivations, select Yes if the information in the tabs suggests that it would help explain this choice. Otherwise, select No.

A desire to use the type of generator that costs less to fuel per unit of power generated.....YES (Since design 1 uses type A generator & design 2 uses type B generator, Cost of type A generator is less than that of type B)
A desire to avoid having to dispose of solid waste.........No (Since design 1 uses type A generator & design 2 uses type B generator, type A generator produce more solid waste, where as type B does not produce any solid waste)
A desire to emit less Pollutant X per unit of power generated annually......No (Since design 1 uses type A generator & design 2 uses type B generator, type A generator vents double Pollutant X than do type B)


1.2 For each of the following statements, select Yes if the statement accurately reflects the information given in the tabs. Otherwise, select No.

During the startup phase, the Design 1 power plant would emit more Pollutant Y per hour than would the Design 2 power plant......Yes (Design 1= 744, Design 2 = 203*3=609)
During the normal generating phase, the emissions per hour of Pollutant Y from the Design 2 power plant would be less than 5% of those from the Design 1 power plant......NO (Design 1 = 218, 5% = 10.90, Design 2 = 18)
During the normal generating phase, the contribution to the ground-level concentration of Pollutant Y from the Design 2 power plant would be less than 25% of that from the Design 1 power plant......No (Design 1 = 13, 25%=3.25; Design 2= 3*3=9)

1.3 Suppose that the startup phase for Type A generators takes exactly one hour. Given this and based on the information in the tabs, which one of the following would be closest to the startup time, in hours, for Type B generators that would result in equal emissions of Pollutant Y for both power plant designs during a single startup phase?

In 1 hour Type A will emit - 744
In 1 hour Type B will emit - 609 (since 3 of such kind will be required)

Difference = 135 for 3 type B generators, 1 generator will need to produce extra 45 to match the emission of Type A.
(45*60)/203 (calculating extra start up time in minutes) = 13.5 minutes = .22 hour

So total time needed for type b generators to start, so as to emit the same amount of emissions as that of type a generator, will be 1 hour 13.5 minutes / 1.22 hours.

IMO Option D
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But it has only talked about A and B type generators and NOT Design 1 and 2. why would we take 3 type B together when we just have been asked about the individual Machines and not the designs.
KarishmaB

­
Question 3.

Suppose that the startup phase for Type A generators takes exactly one hour. Given this and based on the information in the tabs, which one of the following would be closest to the startup time, in hours, for Type B generators that would result in equal emissions of Pollutant Y for both power plant designs during a single startup phase?

Type A produces 744 kg/hr of pollutant Y. So in 1 hr, it produces 744 kg of pollutant Y.
Type B produces 203 kg/hr of pollutant Y. Since 3 of these are used in design 2, 609 kg of pollutant is produced in an hour. Hence to produce 744 kg of pollutant, these 3 type B should be run for a bit more than 1 hour.

Only 1.22 suits of the given options.

ANSWER: 1.22
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manish8242
But it has only talked about A and B type generators and NOT Design 1 and 2. why would we take 3 type B together when we just have been asked about the individual Machines and not the designs.


The question asks about Design 1 vs Design 2, not just one machine.

Design 1 = one Type A generator.

Design 2 = three Type B generators.

So when comparing emissions, we must scale up for Design 2: three Type B generators together.

That’s why we use 3 * 203 = 609 kg/hr for Design 2 at startup. Then we solve for the time so that 609 * t = 744, giving t ≈ 1.22 hours.
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