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snow_lady [41]
2 years ago
5

Suppose you have a machine which executes a program consisting of 60% floating point multiply, 20% floating point divide, and th

e remaining 20% are from other instructions.
(a) [3] Management wants the machine to run 4 times faster. You can make the divide run at most 3 times faster and the multiply run at most 8 times faster. Can you meet management’s goal by making only one improvement, and which one?
(b) [2] Dogbert has now taken over the company removing all the previous managers. If you make both the multiply and divide improvements, what is the speed of the improved machine relative to the original machine?
Business
1 answer:
Aliun [14]2 years ago
4 0

Answer:

Given that Program instructions consists of:

  • 60% floating point multiply
  • 20% floating point divide
  • 20% other instructions

Amdahl's law states that:

Execution time affected by improvement = (Execution time after improvement/ Amount of improvement) + (Execution time unaffected)

Assuming initially that floating point multiply, divide and other instructions have same clocks per instruction (CPI).

Part (a)

New execution time after improvement with multiply = (60) / 8 + (20 + 20) = 47.5

New execution time after improvement with Divide = (20) / 3 + (60 + 20) = 86.67

New system should be 4x faster which means new execution time should be below = 100/ 4 = 25.

Therefore, Management's goal can NOT be achieved by making the improvement with multiply or divide alone.

Part (b)

New execution time after improvement with multiply and divide = (60 / 8) + (20 / 3) + 20 = 34.17

Speed up = execution time of original machine / Execution time of new machine = (100 / 34.17) = 2.93

Therefore, new machine is 2.93 times faster than original machine.

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Explanation:

The entries for each transaction is as follows:

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Service charges exp Dr $76

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(Note: Bank has provided us with banking services, the charges of which is an expense for Bourne incorporated and the settlement of which will reduce our bank balance, a credit.)

2- NSF check from a customer:

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Acc receivable Dr $260

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(Note: A NSF check is a non-sufficient funds check which implies that the customer doesn't have sufficient funds to pay for whatsoever services rendered by us. Upon receipt of such a check we must have increased our bank and decreased our receivable but since it has been dishonored we need to reverse the entry by decreasing our bank and increasing our receivable balance until it's settled by the customer.)

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Entry:

Bank Dr $1000

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(Note: Bank has received a note against a receivable which results in an increase in our bank balance and decrease in or respective customer account and/or receivable.)

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Entry:

Bank Dr $26

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(Note: The money deposited by Bourne Incorporated has earned interest which by nature is an income for Bourne. So Bank is debited and interest income is credited to increase both bank and income simultaneously.)

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Price increase is about 4.2%

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Price Elasticity of Supply (PES) is a measure of the responsiveness of the quantity of a particular good/service supplied to a change in price.

The price elasticity of supply is mathematically the ratio of the percentage change in quantity supplied to the percentage change in price.

PES = \frac{\%\ change\ in\ quantity}{\%\ change\ in\ price} \\where\\PES= 1.2\\\% change\ in\ quantity = 5\%\\\%\ change\ in\ price = ???\\\therefore 1.2 = \frac{5}{\%\ change\ in\ price}\\ \%\ change\ in\ price = \frac{5}{1.2} \\\%\ change\ in\ price = 4.16\%

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