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- Please no written by hand solutions When a child is born, the parents receive gifts of $5000 which they invest at 6% interest. Each year they are fortunate to receive $1000(1+f/5) in gifts that they add to the investment. When the child is 18, he is allowed to remove the money from the account. How much is there? f = 3, so $1600 is added to the gift each year.Two lathes are being considered in the manufacture of certain machine parts. Data is given below, all cost in peso: LATHE A LATHE B First Cost 40,000 56,000 Salvage Value 5,000 7,000 Annual Maintenance 2,000 2,800 Operation, Cost/hour 4 3.5 Life, in years 10 12 Time per part (hours) 0.40 0.25 REQUIRED: Determine the number of machine parts/year that could be produced so that 2 lathes will be equally economical if the MARR is 18%. Use AWM If the number of parts is 10,000 units, which lathe will you recommend? Use ROR If the number of parts is 10,000 units, which lathe will you recommend? Use PWM If the number of parts is 10,000 units, which lathe will you recommend? Use EUACEngineering Economics A man deposits P58,454 each year into his savings account that pays 2% nominal interest compounded continuously. How much will be the worth of the account at the end of 5 years?
- A man plans to invest for a quarry operation which he will gain a net income of P 800, 000.00every end of the year for 5 years then the operation will be terminated. At what rate (%) does he receive interest on his P 5, 000, 000.00 investments at the end of each year if he accrues a replacement fund to recover his capital by annual investments at 5%?engineering economy 1.) Accumulate P 5,000.00 for 10 years at 8% compounded monthly. 2.) What is the accumulated value of a payment of P12,500.00 at the end of each year for 9 years with interest at 5% compounded annually? 3.) Consider a project which involves the investment of P100,000.00 now and P100,000 at the end of one year. Revenues of P150,000 will be generated at the end of years 1 and 2. What is the net present value of this project if the annual interest rate is 10%?ENGINEERING ECONOMICSMenchie bought his brother a laptop 5 years ago which has a cost of around 25,000PhP. The laptop’s life span willlast until 5 years. She has a friend which is a computer technician who advised her that the laptop’s life span couldextend until 10 years if she could spend semi-annual maintenance of 100Php with a 10Php increase rate startingthe next period of maintenance inspection. How much is the total future cost assuming that the money will havea rate of 2% compounded semi-annually if she decided to enjoy using her laptop beyond the expected life spanupon purchasing?
- Solve, a. Compare the probable part cost from Machine A and Machine B, assuming that each will make the part to the same specification. Which machine yields the lowest part cost? Assume that the MARR = 10% per year. b. If the cost of labor can be cut in half by using part-time employees, which machine should be recommended?SHOW YOUR COMPLETE SOLUTION 1. A merchant loaned P20,000.00 to a friend to start a business, the loan was originally madeat 8% simple interest for 4 years. However, due to the pandemic the business operation isnot stable, thus, the merchant was not able to pay the debt including its interest. The lenderdecided to extend the loan period for 6 years but, the merchant must pay equal paymentsat a new interest rate of 10% compounded semi-annually. How much is the equal paymentat the end of 10 years?2. A parent wishes to develop an educational fund for a new born child's college education.The fund is to pay an equal withdrawal on the eighteenth, nineteenth and twentieth andtwenty-first birthdays of the child. The fund will be built up by depositing P1,000.00quarterly until the 17th birthday of the Child. Find the amount of money that the child canwithdraw after the last deposit is made.3. The average price of gasoline was given P77.50 per liter. We computed the average annualrate of…You deposit $6000 into an 7% account today. At the end of two years, you will deposit another $2500. Five years from today, you plan a $8000 purchase. How much is left in the account two years after the purchase? Please present the procedures of your calculation.
- Liam O’Kelly is 20 years old and is thinking about buying a term life insurance policy with his wife as the beneficiary. The quoted annual premium for Liam is $8.48 per thousand dollars of insurance coverage. Because Liam wants a $100,000 policy (which is 2.5 times his annual salary), the annual premium would be $848, with the first payment due immediately (i.e., at age 21). A friend of Liam’s suggests that the $848 annual premium should be deposited in a good mutual fund rather than in the insurance policy. “If the mutual fund earns 10% per year, you can become a millionaire by the time you retire at age 65,” the friend advises. Solve, a. Is the friend’s statement really true? b. Discuss the trade-off that Liam is making if he decides to invest his money in a mutual fund.A trust fund is to be established for providing the costs associated with a small engineering laboratory for the Engineering College. The following costs are required for the engineering laboratory: (1) The construction cost is$1,500,000and the initial equipment cost is$900,000; (2) The annual laboratory operating cost is$250,000for the first 3 years and$200,000thereafter; (3) The cost of equipment replacement is$350,000every 6 years, beginning 6 years from now. How much money is required in the trust fund now to build the engineering laboratory and maintain its perpetual operation and equipment replacement? The interest rate is 8%per year.3) Find the rate of return (IRR-Ch16.3) on a project that will cost $100,000 today and $400,000 in 3 years from today, BUT will return $50,000 at the end of every year for 11 years (4)