pulkitrana wrote:
egmat GMATNinja KarishmaBHi experts, Can you please explain the 2nd part of this question?
Shouldnt the correct answer be 1700?
Hi
pulkitranaThanks for posting your query.
Firstly, this question is an excellent example to highlight the importance of selecting only the relevant part from the question stem. Observe how the question introduces the variable k, yet nothing about it appears on the graph, nor is it used in the statement posed.
The key to differentiating between relevant and irrelevant parts here lies in thoroughly reading and understanding the question statement. So, let us try and TRANSLATE both sentences one by one.
Statement 1: The graph displays data for ______ industrial parts for which the cost of in-house manufacture exceeds the cost of purchase from an outside supplier.This tests our basic understanding of reading a graph. The horizontal axis represents the cost of purchase from an outside supplier (P) and the vertical axis represents the cost of in-house manufacture (M).
- Now, the basic understanding tells us that the line passing from the origin and dividing the quadrant into two equal parts simply represents all data points for which the horizontal axis value is equal to the vertical axis value.
- That means Line B here represents all those points for which M = P.
- And we want the count of those points for which M > P.
- Thus, all the points above line B are the points under consideration.
- So, how many such points are there? FOUR, right?
- And that's it! We are done with this part.
See how straightforward this was, without any need to reference 'k' or anything else from the question stem.
Statement 2:
For industrial parts for which the cost of in-house manufacture exceeds the cost of purchase from an outside supplier, the maximum cost of purchase is ______.This one is a bit trickier and requires careful TRANSLATION to understand what is being asked.
So, the statement wants to know that for all those parts for which
M > P (that means the 4 points that we found in the previous statement), what should be the MAXIMUM COST OF PURCHASE?
- Observe that we are not directly asked for the value of M or P here.
- This requires the information defined in the question stem. Remember that we are provided with the information that "if k ≥ M ≥ P, the company will purchase the part from an outside supplier"
- That means, for all those parts for which M ≥ P, the cost of purchase will be P and NOT M.
- So, we just need to check, out of the four data points above line B, which one has the maximum value of P. And that value of P is the answer.
- So, here, the maximum value of P corresponds to the rightmost point ABOVE line B.
- And as can been observed from the graph, the P value for that point is 1000.
I hope this helps address your doubt.
Regards,
Aditi
Quant Expert,
e-GMAT