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A single processor takes 20 milliseconds 
(ms ) to prepare data entries and 
0.1 nms to copy the entries, where 
n is the number of entries. A multiprocessor takes 
70ms to prepare and copy one data entry, and whenever the number of entries is doubled the amount of time to prepare and copy them increases by 
5ms. Given 
120ms to prepare and copy data entries, which processor type can prepare and copy more entries and how many more entries can it prepare and copy?
Choose 1 answer:
(A) The single processor can prepare and copy 176 more entries.
(B) The single processor can prepare and copy 989 more entries.
(c) The multiprocessor can prepare and copy 24 more entries.
(D) The multiprocessor can prepare and copy 1,012 more entries.

A single processor takes 2020 milliseconds (ms)(\text{ms}) to prepare data entries and 0.1n0.1n ms to copy the entries, where nn is the number of entries. A multiprocessor takes 7070 ms to prepare and copy one data entry, and whenever the number of entries is doubled the amount of time to prepare and copy them increases by 55 ms. Given 120120 ms to prepare and copy data entries, which processor type can prepare and copy more entries and how many more entries can it prepare and copy? Choose 11 answer: \newline(A) The single processor can prepare and copy 176176 more entries. \newline(B) The single processor can prepare and copy 989989 more entries. \newline(C) The multiprocessor can prepare and copy (ms)(\text{ms})00 more entries. \newline(D) The multiprocessor can prepare and copy (ms)(\text{ms})11 more entries.

Full solution

Q. A single processor takes 2020 milliseconds (ms)(\text{ms}) to prepare data entries and 0.1n0.1n ms to copy the entries, where nn is the number of entries. A multiprocessor takes 7070 ms to prepare and copy one data entry, and whenever the number of entries is doubled the amount of time to prepare and copy them increases by 55 ms. Given 120120 ms to prepare and copy data entries, which processor type can prepare and copy more entries and how many more entries can it prepare and copy? Choose 11 answer: \newline(A) The single processor can prepare and copy 176176 more entries. \newline(B) The single processor can prepare and copy 989989 more entries. \newline(C) The multiprocessor can prepare and copy (ms)(\text{ms})00 more entries. \newline(D) The multiprocessor can prepare and copy (ms)(\text{ms})11 more entries.
  1. Calculate time per entry: Calculate the time for the single processor to prepare and copy one entry. Preparation time: 20extms20 ext{ms} Copy time: 0.1extmsperentry0.1 ext{ms per entry} Total time per entry: 20extms+0.1extms=20.1extms20 ext{ms} + 0.1 ext{ms} = 20.1 ext{ms}
  2. Calculate entries for single processor: Calculate the number of entries the single processor can handle in 120extms120 ext{ms}. 120extms/20.1extmsperentry5.97120 ext{ms} / 20.1 ext{ms per entry} \approx 5.97 entries
  3. Calculate time for multiprocessor: Calculate the time for the multiprocessor to prepare and copy one entry. Preparation and copy time: 70extms70 ext{ms}
  4. Calculate entries for multiprocessor: Calculate the number of entries the multiprocessor can handle in 120extms120 ext{ ms}. 120extms/70extmsperentry1.71120 ext{ ms} / 70 ext{ ms per entry} \approx 1.71 entries
  5. Compare entries handled: Compare the number of entries each processor can handle. Single processor: 5.975.97 entries Multiprocessor: 1.711.71 entries Difference: 5.971.714.265.97 - 1.71 \approx 4.26 entries
  6. Check answer choices: Check the provided answer choices for the closest match. None of the provided choices match the calculated difference.

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