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16 Oct 2017, 09:54
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Question Stats:
84% (01:45) correct
16%
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It costs x dollars each to make the first 1,000 copies of a compact disc and y dollars to make each subsequent copy. If z is greater than 1,000, how many dollars will it cost to make z copies of the compact disc?
(A) 1,000x + yz
(B) zx – zy
(C) 1,000 (z – x) + xy
(D) 1,000 (z – y) + xz
(E) 1,000 (x – y) + yz
(A) 1,000x + yz
(B) zx – zy
(C) 1,000 (z – x) + xy
(D) 1,000 (z – y) + xz
(E) 1,000 (x – y) + yz
16 Oct 2017, 10:03
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Total no. of copies to be made =z
Given z > 1000
Cost for making first 1000 copies = 1000x
Remaining copies = z-1000
Cost for remaining copies = (z-1000)y
Total cost = 1000x+ (z-1000)y = 1000(x-y)+yz
Option E.
Sent from my iPhone using GMAT Club Forum
Given z > 1000
Cost for making first 1000 copies = 1000x
Remaining copies = z-1000
Cost for remaining copies = (z-1000)y
Total cost = 1000x+ (z-1000)y = 1000(x-y)+yz
Option E.
Sent from my iPhone using GMAT Club Forum
19 Oct 2017, 08:55
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Bunuel
It costs x dollars each to make the first 1,000 copies of a compact disc and y dollars to make each subsequent copy. If z is greater than 1,000, how many dollars will it cost to make z copies of the compact disc?
(A) 1,000x + yz
(B) zx – zy
(C) 1,000 (z – x) + xy
(D) 1,000 (z – y) + xz
(E) 1,000 (x – y) + yz
Let x = $2(A) 1,000x + yz
(B) zx – zy
(C) 1,000 (z – x) + xy
(D) 1,000 (z – y) + xz
(E) 1,000 (x – y) + yz
First 1000 discs cost
$2 * 1000 = $2000
Let z, total # of discs = 1500
Let y, cost/disc after first 1000 discs = $1
# of discs after first 1000
1500 - 1000 = 500 left
Cost of those 500 at y=$1:
500 * 1 = $500
Overall cost: 2000 + 500 = 2500
Find the answer that = 2500
Use x = 2, y = 1, z = 1500
(A) 1,000x + yz
(1000)(2) + (1)(1500) =
2000+1500 = 3500. Too large. NO
(B) zx – zy
(1500)(2) - (1500)(1) =
3000-1500 = 1500. Too small. NO
(C) 1,000 (z – x) + xy
1000(1500-2) + (2)(1)
1000(1498) + 2 = huge. Stop. NO
(D) 1,000 (z – y) + xz
1000(1500-1) + (2)(1500)=
1000(1499) + 3000 = huge. Stop. NO
(E) 1,000 (x – y) + yz
1000(2-1) + (1)(1500) =
1000(1) + 1500 = 2500. MATCH
Answer E
