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Neilsheth2
- Senior | Next Rank: 100 Posts
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Hi Neilsheth2,
We're given the formula C(X) = 10,000 + BX + AX^2, where A and B are constants, C is the 'cost' and X is the number of units. We're asked for the value of A.
1) 500 units cost $15,833
Using this information, we can plug in these values to the given equation...
15,833 = 10,000 + B(500) + A(500^2)
5,833 = 500B + 2500A
This is one equation with two variables. There are multiple possible values for A.
Fact 1 is INSUFFICIENT
2) 1000 units costs TWICE what 500 units cost.
Using this information, we can create the following big equation.
[10,000 + B(1000) + A(1000^2)] = 2[10,000 + B(500) + A(500^2]
Now we can simplify and combine like terms:
10,000 + 1000B + 1,000,000A = 20,000 + 1000B + 500000A
500,000A = 10,000
A = 10,000/500,000
A = 1/50
Fact 2 is SUFFICIENT
Final Answer: B
GMAT assassins aren't born, they're made,
Rich
