One millisecond is 0.001 of a second. The costs for a single run of a

Question

One millisecond is 0.001 of a second. The costs for a single run of a computer program are $1.07 for operating-system overhead, $0.023 per millisecond of computer time, and $4.35 for the mounting of a data tape. What is the total of these three costs for 1 run of a program that requires 1.5 seconds of computer time ?

(A) $7.15
(B) $8.87
(C) $28.96
(D) $35.57
(E) $39.92

(A) $7.15
(B) $8.87
(C) $28.96
(D) $35.57
(E) $39.92

Skywalker18 · Answer

Operating system overhead for 1 run = 1.07 $
Mounting of data tape = 4.35$
Cost per 1 millisecond of computer time = .023 $
Total cost of 1 run of a program that requires 1.5 seconds of computer time
= 1.07 + (.023*1500) + 4.35
=1.07 + 34.5 + 4.35
= 39.92$

Answer E

Abhishek009 · Answer

One millisecond =  \frac{1}{1000}  Second

Or we can say,  1 second = Thousand milliseconds

Cost for a single run of a computer program = Operating-system overhead + Charges for mounting of a data tape + Variable Cost
 
Cost for a single run of a computer program = $1.07 + $4.35 + $34.5 ( 1.5 * $0.023 * 1000)  = $39.92

Hence answer is (E) $39.92

BrentGMATPrepNow · Answer

Two of the costs are fixed: 
  $1.07  for operating-system overhead
  $4.35  for the mounting of a data tape

So, let's focus on  $0.023 per millisecond  of computer time. 
Rewrite as:  $0.023 for every 0.001 of a second 
Multiply both numbers by 1000 to get:  $23.00 for every 1 second 
Multiply both numbers by 1.5 to get:  $34.50 for 1.5 seconds 
So, the computer time costs  $34.50

$34.50  +  $4.35  +  $1.07  =  MORE THAN $35.57 
Answer: E

Cheers,
Brent

sasyaharry · Answer

Good question 
First notice that the major cost component is the computer time. For a program that runs for 1.5 seconds the cost will be 1.5 seconds * ($0.023 per millisecond)

Converting 1.5 seconds to milliseconds  = \frac{1.5}{0.001}  = 1500
The cost for computer time is 1500*$0.023.

Approximating: Notice that 1500*$.020 is $30 and 1500*$0.002 is $3 this eliminates A,B and C. The precise value is over $33
Now adding the two remaining cost components, i.e system overhead of $1.07 and mounting tape cost of $4.35 brings us over $38 which eliminates D.

The only answer left is  E

ScottTargetTestPrep · Answer

Since 1.5 seconds = 1.5 x 1000 = 1500 milliseconds, the total cost is:

1.07 + 0.023(1500) + 4.35 = $39.92

Answer: E

ScottTargetTestPrep · Answer

Solution:
 
The cost of 1 run of a program that requires 1.5 seconds (or 1500 milliseconds) of computer time is:

1.07 + 1500 x 0.023 + 4.35 = 1.07 + 34.50 + 4.35 = $39.92

Answer: E

TomNook · Answer

determine the number of milliseconds is 1.5 seconds by using the information given in the question that 0.001 second = 1 millisecond

1.5   seconds   * 1 millisecond / 0.001   seconds   
 = \frac{1.5}{0.001}  milliseconds

= 1500 milliseconds

to find the total cost to run 1 program that requires 1.5 seconds of computer time then
 1.07+0.023*(1500)+4.35 
 = 39.92

thus answer is  E

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