A machine is currently broken and not working. To fix the machine, 2 robotic processors of the brand DURIO with capacity of 38 teraflops must be replaced, and 25 special gears must be deeply cleaned by a mechanic. The purchase of the DURIO robotic processors is a problem that must be solved: the company that makes the DURIO processors is no longer existent, since they went to out-of-business last year. So a new supplier must be found, and quickly. Company ROGA-TED is offering to manufacture such processors for you. They manufacture similar robotic processors but for different capacities: they have never made a 38 teraflop processor before. However, ROGA-TED announces that they will manufacture it for you, if you can provide a fair estimation of the price for the robotic processors. In your company's records, you see that these robotic processors were never replaced before, and so there is no pre-existing data for the price of such items. However, you find that 10 years ago, your company purchased similar processors from DURIO but with different capacities: 17 robotic processors for $351746. Each with a capacity of 56 teraflops. X factor 0.89. Since this was 10 years ago. You check the index for industrial robotic equipment. At that time the index was 321. Today the index is 185. Regarding the cleaning of the special gears. The mechanic charges $325 per hour to deep-clean the gears. He takes 3 hours to clean the first gear, and every time he doubles his experience, 20% of the time to clean is reduced (improved). Instructions: Use 2 digit precision for your calculations and to answer the following questions. a) What should be the fair price estimation that your company should offer ROGA-TED for the 38 teraflop robotic processors? Why? Justify: b) How much time (in hours) will the mechanic need to deep-clean the gears? Explain: c) What is the total salary that should be paid to the mechanic? Explain: d) What is the total cost to fix the machine? Justify:

a) The fair price estimation that your company should offer ROGA-TED for the 38 teraflop robotic processors is $194,785.45. This estimation is obtained by adjusting the previous purchase price using the X factor (0.89) and the ratio of the industrial equipment index (185/321) to account for inflation and changes in the market.

Explanation: To calculate the fair price estimation, we start with the previous purchase price of $351,746 for 17 processors with a capacity of 56 teraflops. We multiply this price by the X factor (0.89) to adjust for the difference in capacity. Next, we adjust for inflation by dividing the current industrial equipment index (185) by the index at the time of the previous purchase (321) and multiplying it by the adjusted price. This gives us a fair price estimation of $194,785.45.

b) The mechanic will need a total of 2.4 hours to deep-clean the gears. The mechanic initially takes 3 hours to clean the first gear. With each doubling of experience, 20% of the time to clean is reduced.

Explanation: The mechanic takes 3 hours to clean the first gear. With each doubling of experience, 20% of the time to clean is reduced. Doubling the experience once would reduce the time by 20% of 3 hours, which is 0.6 hours. The mechanic will need 2.4 hours to clean the gears by reducing the time to increments of 0.6 hours.

c) The total salary that should be paid to the mechanic is $780. The mechanic charges $325 per hour for deep-cleaning the gears, and the total time required is 2.4 hours.

Explanation: The mechanic charges $325 per hour, and the total time required to deep-clean the gears is 2.4 hours. Multiplying the hourly rate by the total time gives us the total salary of $780.

d) The total cost to fix the machine is $194,785.45 for the robotic processors plus $780 for the mechanic's salary, totaling $195,565.45.

Explanation: The total cost to fix the machine includes the fair price estimation for the robotic processors ($194,785.45) and the mechanic's salary ($780). Summing these costs gives us a total cost of $195,565.45 to fix the machine.

learn more about fair prices here:

https://brainly.com/question/31851163

#SPJ11

Consider a broken machine that requires the replacement of 2 robotic processors with a capacity of 38 teraflops each, and deep cleaning of 25 special gears by a mechanic. The original brand of the processors, DURIO, is no longer in business, so your company is exploring an offer from ROGA-TED to manufacture the processors. To provide a fair price estimation, you look into the records of a previous purchase of similar processors from DURIO 10 years ago. The purchase included 17 processors with a capacity of 56 teraflops each, for a total price of $351,746, adjusted with an X factor of 0.89. Considering the change in the industrial robotic equipment index from 321 (10 years ago) to 185 (current), calculate the fair price estimation your company should offer to ROGA-TED for the 38 teraflop robotic processors. Justify your answer. Additionally, determine the total time required for the mechanic to deep-clean the gears, explain the reasoning, calculate the total salary that should be paid to the mechanic, and determine the overall cost to fix the machine. Justify your answers

qwpen qwpen · Answer 2 · 2024-07-24T11:01:17-04:00

Final answer:

To estimate the fair price for the 38 teraflop robotic processors, use the index for industrial robotic equipment and adjust for inflation. The mechanic will need approximately 33.781 hours to deep-clean the gears. The total cost to fix the machine is the sum of the price of the processors and the mechanic's salary.

Explanation:

To estimate the fair price that your company should offer ROGA-TED for the 38 teraflop robotic processors, we can use the index for industrial robotic equipment. We know that 10 years ago, your company purchased similar processors with a capacity of 56 teraflops for $351,746.

The price of the processors can be estimated by adjusting for inflation using the index values. The price at that time was multiplied by the ratio of the current index to the index 10 years ago. Therefore, the fair price estimation for the 38 teraflop robotic processors would be:

Price = $351,746 * (185 / 321) = $202,745.80

Part b:

The mechanic takes 3 hours to clean the first gear. Every time he doubles his experience, 20% of the time to clean is reduced. This can be represented as a geometric progression where the initial term is 3 hours, and the common ratio is 0.8 (since we are reducing the time by 20%). To find the total time needed to deep-clean all the gears, we can use the formula for the sum of a geometric series:

Total Time = 3 hours * (1 - (0.8 ^ 25)) / (1 - 0.8) = 33.781 hours

Part c:

Based on the total time calculated in Part b, and the mechanic's charge rate of $325 per hour, the total salary that should be paid to the mechanic can be calculated as:

Total Salary = Total Time * Hourly Rate = 33.781 hours * $325 = $10,976.33

Part d:

The total cost to fix the machine would be the sum of the cost of the 38 teraflop robotic processors and the salary paid to the mechanic:

Total Cost = Price of Robotic Processors + Total Salary = $202,745.80 + $10,976.33 = $213,722.13