Hey,
First the problem, then my (hopefully sufficient) answer explanation. I did not find an official one.
"To fill an order on schedule, a manufacturer had to produce 1,000 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."
Correct answer choice here is: E
My answer explanation:
Let
O: Total amount of tools produced for that order
n: number of days until order is complete
100: daily production rate
then: O = n * 100
Thus were only able to determine the value of n if we can determine the value of O (the total number of tools for needed for that order)
(1) Given that 600 tools were produced on each of the first 5 days, we can only say that 5 * 600 = 3000 tools were produced on those 5 days. Nothing, however, is known about the remaining days or the total number of tools needed for the order.
(2) Given that 1,500 tools were produced on each of the last 4 days, we can only determine that 4*1,500 = 6000 tools were produced on the last 4 days of the production period. Nothing is said about O in total.
Given (1) and (2) together, it is still not possible to determine the value of O. The only thing we know is that at least 3000 + 6000 = 9000 tools were needed to complete the order.
What do you think?
Kind regards,
Tobi
First the problem, then my (hopefully sufficient) answer explanation. I did not find an official one.
"To fill an order on schedule, a manufacturer had to produce 1,000 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."
Correct answer choice here is: E
My answer explanation:
Let
O: Total amount of tools produced for that order
n: number of days until order is complete
100: daily production rate
then: O = n * 100
Thus were only able to determine the value of n if we can determine the value of O (the total number of tools for needed for that order)
(1) Given that 600 tools were produced on each of the first 5 days, we can only say that 5 * 600 = 3000 tools were produced on those 5 days. Nothing, however, is known about the remaining days or the total number of tools needed for the order.
(2) Given that 1,500 tools were produced on each of the last 4 days, we can only determine that 4*1,500 = 6000 tools were produced on the last 4 days of the production period. Nothing is said about O in total.
Given (1) and (2) together, it is still not possible to determine the value of O. The only thing we know is that at least 3000 + 6000 = 9000 tools were needed to complete the order.
What do you think?
Kind regards,
Tobi
