Problem 1. (20 Points) A machine is currently broken and not working. To fix the machine, 5 robotic processors of the brand DURIO with capacity of 39 teraflops must be replaced, and 24 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 39 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: 24 robotic processors for $471010. Each with a capacity of 58 teraflops. X factor 0.83. Since this was 10 years ago. You check the index for industrial robotic equipment. At that time the index was 289. Today the index is 143. Regarding the cleaning of the special gears. The mechanic charges $364 per hour to deep-clean the gears. He takes 5 hours to clean the first gear, and every time he doubles his experience, 17% 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 39 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