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The following graph shows the per-unit production cost (in dollars) of

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Sajjad1994
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The following graph shows the per-unit production cost (in dollars) of [#permalink] New post   18 Oct 2023, 08:14
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Data Insights (DI) Butler 2023-24 [Question #56, Date: Oct-19-2023] [Click here for Details]


The following graph shows the per-unit production cost (in dollars) of a microchip at various quantities produced. The solid line is the trend line of unit costs as production quantity increases. The dotted line connects the points representing minimum and maximum production levels.

Attachment:
2.jpg
2.jpg [ 102.46 KiB | Viewed 2344 times ]


If chip production were increased from 100,000 to 200,000, the cost per chip would decrease by approximately .

The average rate of change in the cost per chip, as represented by the slope of the dotted line, is approximately dollars per thousand chips produced.

Show SpoilerAdditional Question
If the point representing production of ____________ chips were eliminated, the average rate of change would be closer to the slope of the trend line.

(A) 10,000
(B) 25,000
(C) 50,000
(D) 100,000
(E) 200,000

Answer: A


Question #1 based on the same graph is available here
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Official Answer
Dropdown 1: $10 Dropdown 2: –0.6
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pudu
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Re: The following graph shows the per-unit production cost (in dollars) of [#permalink] New post   23 Oct 2023, 03:04
please provide the answer for the additional question
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Re: The following graph shows the per-unit production cost (in dollars) of [#permalink] New post   23 Oct 2023, 10:45
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pudu wrote:
please provide the answer for the additional question


Official Explanation

If the point representing production of ____________ chips were eliminated, the average rate of change would be closer to the slope of the trend line.

Explanation

To bring the average rate of change closer to the slope of the trend line, the rate of decline must be flattened. Removing points from the high end of the production scale will result in a line that has almost the same vertical drop over a shorter horizontal distance, making the slope steeper. Removing midrange points will have no effect, but removing the first point drops one end of the dotted line, flattening its slope.

Answer: A
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Re: The following graph shows the per-unit production cost (in dollars) of [#permalink] New post   23 Oct 2023, 22:37
Sajjad1994 wrote:
pudu wrote:
please provide the answer for the additional question


Official Explanation

If the point representing production of ____________ chips were eliminated, the average rate of change would be closer to the slope of the trend line.

Explanation

To bring the average rate of change closer to the slope of the trend line, the rate of decline must be flattened. Removing points from the high end of the production scale will result in a line that has almost the same vertical drop over a shorter horizontal distance, making the slope steeper. Removing midrange points will have no effect, but removing the first point drops one end of the dotted line, flattening its slope.

Answer: A


thank you :)
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Re: The following graph shows the per-unit production cost (in dollars) of [#permalink] New post   16 Nov 2023, 07:45
Please provide the solution to the question
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The following graph shows the per-unit production cost (in dollars) of [#permalink] New post   16 Nov 2023, 22:59
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Official Explanation


If chip production were increased from 100,000 to 200,000, the cost per chip would decrease by approximately ____________.

(A) $1
(B) $2
(C) $5
(D) $10
(E) $40

Explanation

When production is approximately 100,000, the cost per chip is approximately $45. When production increases to 200,000, the cost per chip decreases to about $35, for a decrease of approximately $10 per chip.

Answer: D

The average rate of change in the cost per chip, as represented by the slope of the dotted line, is approximately ____________ dollars per thousand chips produced.

(A) –115
(B) –6
(C) –0.6
(D) 0.6
(E) 6

Explanation

The change in the cost per chip is approximately $32 – $147 = –$115. The change in production is approximately 200,000 – 10,000 = 190,000. The average rate of change is –$115/190 ≈ –$0.60 per thousand chips produced.

Answer: C
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The following graph shows the per-unit production cost (in dollars) of [#permalink]
16 Nov 2023, 22:59
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