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From January to October, the revenue of a textile manufacturing plant averaged 20,000 USD per month. What average monthly revenue in USD was required in November and December, if the plant had a goal to achieve 330,000 USD in revenue by the end of the calendar year?
- a)65000
- b)75000
- c)80000
- d)100000
- e)110000
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
From January to October, the revenue of a textile manufacturing plant ...
Step 1: Question statement and Inferences
We are given that the average revenue for a textile manufacturing plant was 20,000 USD per month from January till October. The plant wanted to achieve a total revenue of 330,000 USD by the end of the year.
We have to find the average revenue that the plant must achieve in November and December to meet its total targeted revenue.
Let’s say the monthly revenues for the plant are M1, M2, M3 ….. M12.
Now, we don’t know the individual values of the monthly revenues. But we do know that the average monthly revenue for the first ten months is USD 20,000. Thus,
Hence,
M1 + M2 + M3 …. + M10 = 200,000 ………… (1)
The targeted revenue for the year is USD 330,000. Thus,
M1 + M2 + M3 …. + M11 + M12 = 330,000 ………… (2)
Step 2: Finding required values
The question wants us to find the average monthly revenue for November and December. Let’s say the average monthly revenue for these two months is X. Thus,
That is, M11 + M12 = 2X ………… (3)
Substituting values from Equations 1 and 3 in Equation 2:
200,000 + 2X = 330,000
2X = 130,000
X = 65,000
So, the average monthly revenue for the months of November and December is 65,000 USD.
Answer: Option (A)
Most Upvoted Answer
From January to October, the revenue of a textile manufacturing plant ...
Average till Oct is 20k
average of whole year needed as per qn is 330k/12=27.5k
so last two months have to first have to be 27.5k each and give 7.5k to each of the 1st 10 months to meet the average demand as per qn
so in last 2 months (27.5*2)+(7.5k*10)=65k answer
option A
average of whole year needed as per qn is 330k/12=27.5k
so last two months have to first have to be 27.5k each and give 7.5k to each of the 1st 10 months to meet the average demand as per qn
so in last 2 months (27.5*2)+(7.5k*10)=65k answer
option A
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Community Answer
From January to October, the revenue of a textile manufacturing plant ...
To find out the average monthly revenue required in November and December to achieve a total revenue of 330,000 USD by the end of the calendar year, we need to first calculate the total revenue from January to October.
Total revenue from January to October = Average monthly revenue * Number of months
= 20,000 USD/month * 10 months
= 200,000 USD
Now, let's determine the remaining revenue required to achieve the goal of 330,000 USD.
Remaining revenue = Total revenue goal - Total revenue from January to October
= 330,000 USD - 200,000 USD
= 130,000 USD
Since there are two months remaining (November and December), we need to evenly distribute the remaining revenue over these two months to find the average monthly revenue required.
Average monthly revenue required = Remaining revenue / Number of months remaining
= 130,000 USD / 2 months
= 65,000 USD/month
Hence, the average monthly revenue required in November and December to achieve the revenue goal of 330,000 USD is 65,000 USD.
Therefore, the correct answer is option A) 65,000 USD.
Total revenue from January to October = Average monthly revenue * Number of months
= 20,000 USD/month * 10 months
= 200,000 USD
Now, let's determine the remaining revenue required to achieve the goal of 330,000 USD.
Remaining revenue = Total revenue goal - Total revenue from January to October
= 330,000 USD - 200,000 USD
= 130,000 USD
Since there are two months remaining (November and December), we need to evenly distribute the remaining revenue over these two months to find the average monthly revenue required.
Average monthly revenue required = Remaining revenue / Number of months remaining
= 130,000 USD / 2 months
= 65,000 USD/month
Hence, the average monthly revenue required in November and December to achieve the revenue goal of 330,000 USD is 65,000 USD.
Therefore, the correct answer is option A) 65,000 USD.
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