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30 Sep 2024, 08:36
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
(N/A)
Question Stats:
100% (02:18) correct
0% (00:00) wrong based on 3 sessions
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A company plans to manufacture two types of hammers, type R and type S. The cost of manufacturing each hammer of type S is $0.05 less than twice the cost of manufacturing each hammer of type R.
Quantity A
The cost of manufacturing 1,000 hammers of type R and 1,000 hammers of type S
Quantity B
The cost of manufacturing 1,500 hammers of type S
Quantity A
The cost of manufacturing 1,000 hammers of type R and 1,000 hammers of type S
Quantity B
The cost of manufacturing 1,500 hammers of type S
27 Feb 2025, 09:49
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OE
Note that Quantity A and Quantity B both include the cost of manufacturing 1,000 hammers of type S. If you remove that cost from both quantities, the problem is reduced to comparing the cost of manufacturing 1,000 hammers of type R with the cost of manufacturing 500 hammers of type S. Since the cost of manufacturing each hammer of type S is $0.05 less than twice the cost of manufacturing each hammer of type R, it follows that the cost of manufacturing 1,000 hammers of type R is greater than the cost of manufacturing 500 hammers of type S. Thus the correct answer is Choice A.
Answer: A
Note that Quantity A and Quantity B both include the cost of manufacturing 1,000 hammers of type S. If you remove that cost from both quantities, the problem is reduced to comparing the cost of manufacturing 1,000 hammers of type R with the cost of manufacturing 500 hammers of type S. Since the cost of manufacturing each hammer of type S is $0.05 less than twice the cost of manufacturing each hammer of type R, it follows that the cost of manufacturing 1,000 hammers of type R is greater than the cost of manufacturing 500 hammers of type S. Thus the correct answer is Choice A.
Answer: A
04 Mar 2025, 05:26
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From the given question,
S = 2R - 0.05
This means for any positive value of R the equation holds true and hence we are free to choose any positive number.
Choose a smart number for R. Let R = 0.05
Then S = 2(0.05) - 0.05 = 0.10 - 0.05 = 0.05
Qty A : 1000(0.05) + 1000(0.05) = 50 + 50 = 100
Qty B : 1500(0.05) = 15 * 5 = 75
100 > 75
Hence Qty A > Qty B
QC manipulation strategy
S = 2R - 0.05
1000R + 1000S ? 1500S
1000R ? 500S
2R ? S
2R ? 2R - 0.05
0 ? -0.05
0.05 ? 0
0.05 > 0
Hence Qty A is greater.
S = 2R - 0.05
This means for any positive value of R the equation holds true and hence we are free to choose any positive number.
Choose a smart number for R. Let R = 0.05
Then S = 2(0.05) - 0.05 = 0.10 - 0.05 = 0.05
Qty A : 1000(0.05) + 1000(0.05) = 50 + 50 = 100
Qty B : 1500(0.05) = 15 * 5 = 75
100 > 75
Hence Qty A > Qty B
QC manipulation strategy
S = 2R - 0.05
1000R + 1000S ? 1500S
1000R ? 500S
2R ? S
2R ? 2R - 0.05
0 ? -0.05
0.05 ? 0
0.05 > 0
Hence Qty A is greater.
Donnie84
