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We need to hire a cleaning company as soon as possible to provide adeq
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08 Oct 2023, 08:03
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E-mail from Project Manager to his Assistant January 23, 11:02 A.M.
We need to hire a cleaning company as soon as possible to provide adequate working conditions for our employees. So if the contractors submitted their bids and you have made appropriate background investigations on the companies, we should make a decision on which cleaning firm to hire by the end of the week. Did all four bids arrive yesterday?
E-mail from Assistant to Project Manager in Response to the Project Manager’s January 23, 11:02 A.M., Message January 23, 11:23 A.M.
Ambrosia Cleaning sent us a bid of $25,000, the highest of the four bids. Ambrosia Cleaning has a spotless track record and provides exceptional service. Indigo Cleaning submitted a lower bid of $22,000. However, in the past 3 years, there have been two customer complaints about the quality of work completed by Indigo Cleaning. Finally, ABC Cleaning and Hugo Cleaning submitted bids of $20,000 each, but neither of them can begin work this month.
E-mail from Project Manager to his Assistant in Response to the Assistant’s January 23, 11:23 A.M., Message January 23, 11:42 A.M.
Determine how many buildings Indigo Cleaning serviced over the past 3 years. If Indigo Cleaning cleaned more than 50 buildings in the past 3 years with only two customer complaints, I would not hesitate to hire them. Otherwise, we should hire Ambrosia Cleaning, even though their bid is higher.
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91%
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9%
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DIFFICULTY AND TIMER STATISTICS
1. Suppose that Indigo Cleaning serviced exactly 50 buildings in the past 3 years with two customer complaints, one each from two different buildings. The percentage of serviced buildings about which Indigo Cleaning received customer complaints would be closest to __________.
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93%
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correct
7%
(00:46)
wrong
based on 141
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DIFFICULTY AND TIMER STATISTICS
2. Suppose that the project manager hires Ambrosia Cleaning instead of Indigo Cleaning. The amount spent on cleaning services provided by Ambrosia will be higher than the amount that would have been charged by Indigo by approximately what percent?
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Re: We need to hire a cleaning company as soon as possible to provide adeq
[#permalink]
08 Oct 2023, 09:38
1. Suppose that Indigo Cleaning serviced exactly 50 buildings in the past 3 years with two customer complaints, one each from two different buildings. The percentage of serviced buildings about which Indigo Cleaning received customer complaints would be closest to __________.
Number of serviced buildings about which Indigo Cleaning received customer complaints = 2 Total serviced buildings by Indigo Cleaning = 50
2/50 = 4 % (closest to 5 %)
5 is the correct answer
2. Suppose that the project manager hires Ambrosia Cleaning instead of Indigo Cleaning. The amount spent on cleaning services provided by Ambrosia will be higher than the amount that would have been charged by Indigo by approximately what percent?
The amount spent on cleaning services provided by Ambrosia = $25,000 The amount spent on cleaning services provided by Indigo = $22,000
Re: We need to hire a cleaning company as soon as possible to provide adeq
[#permalink]
08 Oct 2023, 23:04
5, 14
1. Suppose that Indigo Cleaning serviced exactly 50 buildings in the past 3 years with two customer complaints, one each from two different buildings. The percentage of serviced buildings about which Indigo Cleaning received customer complaints would be closest to _________
50(x/100) = 2 x = 4% closest in option is 5%
2. Suppose that the project manager hires Ambrosia Cleaning instead of Indigo Cleaning. The amount spent on cleaning services provided by Ambrosia will be higher than the amount that would have been charged by Indigo by approximately what percent?
Re: We need to hire a cleaning company as soon as possible to provide adeq
[#permalink]
09 Oct 2023, 02:28
Part 1: Suppose that Indigo Cleaning serviced exactly 50 buildings in the past 3 years with two customer complaints, one each from two different buildings. The percentage of serviced buildings about which Indigo Cleaning received customer complaints would be closest to __________.
Number of buildings serviced about which Indigo Cleaning received customer complaints = 2 Total Number of buildings serviced = 50
% of serviced buildings about which Indigo Cleaning received customer complaints = (2/50)*100 = 4%
Hence, looking at the options the approximate % will be 5%
Part 2: Suppose that the project manager hires Ambrosia Cleaning instead of Indigo Cleaning. The amount spent on cleaning services provided by Ambrosia will be higher than the amount that would have been charged by Indigo by approximately what percent?
Translating this would give us.
22000 = x% of 20000 Solving of x would give us 110%.
Therefore, Ambrosia Cleaning is 110% of Indigo Cleaning. In other words Ambrosia Cleaning's cost is 10% higher than Indigo Cleaning's cost.
Re: We need to hire a cleaning company as soon as possible to provide adeq
[#permalink]
09 Oct 2023, 02:43
1. serviced buildings = 50 Buildings for which complaint is received =2 % for which complaints are received= 2/50*100= 4% ~5%
2. The amount spent on cleaning services provided by Ambrosia =25000 Amount that would have been charged by Indigo = 22000 % increase= (25000-22000)/22000*100= 3000/22000*100= 3/22*100 ~ 3/21*100= 1/7*100=14.3%~ 14%
Re: We need to hire a cleaning company as soon as possible to provide adeq
[#permalink]
09 Oct 2023, 06:47
Q1) B. The percentage of serviced buildings about which Indigo Cleaning received customer complaints can be calculated as follows:
Number of customer complaints = 2 Total number of buildings serviced = 50
Percentage of buildings with complaints = (Number of complaints/Total number of buildings) * 100 = (2/50) * 100 = 4% ≈ 5%
So, the percentage of serviced buildings about which Indigo Cleaning received customer complaints would be closest to 4% i.e. 5% (answer)
Q2) B. The amount spent on cleaning services provided by Ambrosia Cleaning would be $25,000. The amount that would have been charged by Indigo Cleaning for servicing 50 buildings is $22,000. To find the percentage difference:
So, the amount spent on cleaning services provided by Ambrosia Cleaning will be higher than the amount that would have been charged by Indigo by approximately 13.64% i.e. 14% (answer)
Re: We need to hire a cleaning company as soon as possible to provide adeq
[#permalink]
09 Oct 2023, 12:52
Expert Reply
Official Explanation
1. Suppose that Indigo Cleaning serviced exactly 50 buildings in the past 3 years with two customer complaints, one each from two different buildings. The percentage of serviced buildings about which Indigo Cleaning received customer complaints would be closest to
Explanation
The correct answer is 5. To determine the percentage of complaints received per buildings cleaned, divide the number of complaints by the number of buildings serviced: \(\frac{2}{50}= 0.04\). Complaints were received on 4% of the buildings serviced, which is closest to 5%.
Correct answer: B
2. Suppose that the project manager hires Ambrosia Cleaning instead of Indigo Cleaning. The amount spent on cleaning services provided by Ambrosia will be higher than the amount that would have been charged by Indigo by approximately what percent?
Explanation
The correct answer is 14%. Ambrosia Cleaning charges $25,000. This is $3,000 more than the fee for Indigo Cleaning. To determine the percent increase of Ambrosia's fee over that of Indigo, divide the additional fee by Indigo's original bid: \(\frac{3,000}{22,000}=0.1363\). Ambrosia's fee exceeds Indigo's fee by approximately .
Email 3: Determine how many buildings has Indigo serviced over the past 3 years If >50 => 2 complaints are not a problem
1. Suppose that Indigo Cleaning serviced exactly 50 buildings in the past 3 years with two customer complaints, one each from two different buildings. The percentage of serviced buildings about which Indigo Cleaning received customer complaints would be closest to __________.
\(\frac{2}{50} = \frac{4}{100} \approx{5%}\)
2. Suppose that the project manager hires Ambrosia Cleaning instead of Indigo Cleaning. The amount spent on cleaning services provided by Ambrosia will be higher than the amount that would have been charged by Indigo by approximately what percent?