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A beam AB of length 1 m is supported horizontally at A and B. A weight of 500 N is attached on the rod at C. If the support at A can not bear a pressure more than 300 N, find the distance of C from A, when the support A is about to fail.


Find the DE by eliminating the arbitrary constant/s.
x sin y + x^2y=C
two concentric spring arranged one within other, control the operation of valve,the particular of the outer spring are 12coils, 25mm coil diameter, wire diameter 3mm and intial compression when valve closed 5mm the intial compression of the inner spring 11mm and total load is 150N calculate the stiffness of each spring and wire diameter ofvinner spring is 2mm and mean diameter is 15mm, take G as 81.5Gpa

A loan company charges 15% simple interest on P500 loan. How much will be repaid if the loan is paid back in one lump sum after 3 years?


 If you borrowed money from your friend with simple interest of 12%, find the present worth of P50,000 which is due at the end of 7 months.

 


The Parks and Recreation Department of Burkett County estimates that the initial cost of a “barebones” permanent river park will be $2.3 million. Annual upkeep costs are estimated at $120,000. Benefits of $340,000 per year and disbenefits of $40,000 per year have also been identified. Using a discount rate
of 6% per year, calculate (a) the conventional B/C ratio and (b) the modified B/C ratio.
A firm is trying to decide which of two devices to install to reduce costs. Both devices have useful
lives of 5 years and no salvage value. Device A costs $1000 and can be expected to result in $300
savings annually. Device B costs $1350 and will provide cost savings of $300 the first year, but
savings will increase by $50 annually, making the second-year savings $350, the third-year savings
$400, and so forth. With interest at 7%, which device should the firm purchase?
A new solar-cell unit is to be installed in an office complex at an initial cost of $200,000. It is expected
that the system will generate annual cost savings of $25,000 on the electricity bill. The solar cell unit
will need to be overhauled every 5 years at a cost of $7,000 per overhaul. If the annual interest rate is
12%, find the discounted payback period for the solar-cell unit considering the time value of money.
The costs of overhaul are to be considered in calculating the discounted payback period.
A large automobile manufacturer is considering the installation of a high-tech material handling system
for $30,000,000. This system will save $7,500,000 per year in manual labor, and it will incur $2,750,000
in annual operating and maintenance expenditures. The salvage value at the end of the system’s 10-
year life is negligible. If the company’s hurdle rate (MARR) is 10% per year, should the system be
recommended for implementation?
The world’s largest carpet maker has just completed a feasibility study of what to do with the 16,000
tons of overruns, rejects, and remnants it produces every year. The company’s CEO launched the
feasibility study by asking, why pay someone to dig coal out of the ground and then pay someone else
to put our waste into a landfill? Why not just burn our own waste? The company is proposing to build a
$10-million power plant to burn its waste as fuel, thereby saving $2.8 million a year in coal purchases.
Company engineers have determined that the waste burning plant will be environmentally sound, and
after its four-year study period the plant can be sold to a local electric utility for $5 million.
a. What is the IRR of this proposed power plant?
b. If the firm’s MARR is 15% per year, should this project be undertaken?
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