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To fill an order, a manufacturer had to produce 1000 tools

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To fill an order, a manufacturer had to produce 1000 tools

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To fill an order, a manufacturer had to produce 1000 tools per day for n days. what is the value of n?

(1) Because of production problems, the manufacturer produced only 600 tools per day during the first 5 days
(2) Because of production problems, the manufacturer had to produce 1,500 tools per day on each of the last 4 days in order to meet the schedule

OA E

Source: GMAT Prep

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BTGmoderatorDC wrote:
To fill an order, a manufacturer had to produce 1000 tools per day for n days. what is the value of n?

(1) Because of production problems, the manufacturer produced only 600 tools per day during the first 5 days
(2) Because of production problems, the manufacturer had to produce 1,500 tools per day on each of the last 4 days in order to meet the schedule
Prompt:
Total production = 1000n
Statement 1:
Total production for the first 5 days = 5*600 = 3000
Statement 2:
Total production for the last 4 days = 4*1500 = 6000

Case 1: n=9, with no days between the first 5 days and the last 4 days
Total production = 1000n = 1000*9 = 9000
Total production = (production for the first 5 days) + (production for the last 4 days) = 3000+6000 = 9000

Case 2: n=10, with one 1000-tool day between the first 5 days and the last 4 days
Total production = 1000n = 1000*10 = 10000
Total production = (production for the first 5 days) + (production for one 1000-tool middle day) + (production for the last 4 days) = 3000+1000+6000 = 10000

Since n can be different values, the two statements combined are INSUFFICIENT.

The correct answer is E.

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