a) If a piece of machinery depreciates at an annual rate of 4.35%, how many years will it take for the machinery's value to reduce to half of its original value? b) A cafe finds that the demand equation for its new coffee blend product given by: Q=24/p^0.75 Where P is the price per cup and Q is the number of cups served per hour. Find the elasticity of demand Ed c) Find the effective annual rate for an interest rate of 4.5% p.a. compounded monthly. Answer as a percentage to 2 decimals
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- I need some help with these questions and can you please show me all the steps? (A) If a piece of machinery depreciates at an annual rate of 5.85%, how many years will it take for the machinery’s value to reduce to a quarter of its original value? (B) A cafe finds that the demand equation for its new coffee blend product is given by: Q= 28/p0.85, Where P is the price per cup and Q is the number of cups served per hour. Find the elasticity of demand, Ed. (C) Find the effective annual rate for an interest rate of 8.5% p.a. compounded monthly. Answer as a percentage to 2 decimalsA firm is considering purchasing a machinethat costs $65,000. It will be used for six years, andthe salvage value at that time is expected to be zero.The machine will save $35,000 per year in labor, butit will incur $12,000 in operating and maintenancecosts each year. The machine will be depreciatedaccording to five-year MACRS. The firm’s tax rateis 40%, and its after-tax MARR is 15%. Should themachine be purchased?A herbal tea producer company has 24 different products in the market, each are produced in one of the 3 factories owned by the company. The weights of the products in monthly sales may vary depending on time of the year (demands of certain products shift to others in each of the 4 seasons), age of the products and market conditions, but yearly aggregate demand has a very strong correlation with the price of the product (Here, we ignore any other factor and assume that the yearly aggregate demand is directly and linearly effected by the price). The company found out that when the price for a packet of 20 herbal tea bags is 10 TL, yearly demand is 337500 packets. When the price increases to 11 TL, demand decreases to 337125 packets. On the cost side, the company has 1200000 TL of yearly administrative costs regardless of the price or the number of units sold, including the rents, depreciation of the buildings and other related assets and salaries of 58 workers (average monthly salary…
- economic Announcing in his Budget 2023 speech on Tuesday, Deputy Prime Minister and Finance Minister Lawrence Wong said cars with an OMV (the approximate cost of a car before taxes) higher than $80,000 will incur an additional registration fee (ARF, or the main car tax) of 320 per cent. The changes will take effect from the next round of certificate of entitlement (COE) bidding, which closes on Feb 22. Mr Wong said these changes are expected to affect the top one-third Do more research and apply what we have learned in “Demand & Supply”, “Elasticity” and “Taxation” to answer the following questions. 1. How does the ARF hike impact the luxury car market? Discuss the impact on the price and quantity of luxury cars (Use Demand and Supply graph to interpret your answer). 2. Mr Wong said the ARF hike was expected to affect the top one-third of cars and would generate about $200 million in additional revenue a year. Do you agree with his opinion? Apply the concept of elasticity to…Shell Philippines, a multinational company, developed an oil well which is estimated to contain 5,000,000 barrels of oil at an initial cost of $50,000,000. What us the depletion charge during the year where it produces half million barrels of oil.A Civil Engineer is considering establishing his own company. An investment of $4,000,000 will berequired, which will be recovered in 15 years.It is estimated that revenue will be $8,000,000 per year and that operating expenses will be as follows:Materials $1,600,000 per yearLabor $2,800,000 per yearOverhead $400,000 + 10% of the yearly revenueOther expenses $600,000 per yearThe engineer will give up his regular job paying $2,160,000 per year and devote his time fulltime to theoperation of the business; this will result in decreasing labor costs by $400,000 per year, material costs by$280,000 per year and overhead cost by $320,000 per year. If the man expects to earn at least 20% ofhis capital, should he invest? NOTE: Use Annual Worth Method.
- A Civil Engineer is considering establishing his own company. An investment of $4,000,000 will berequired, which will be recovered in 15 years.It is estimated that revenue will be $8,000,000 per year and that operating expenses will be as follows:Materials $1,600,000 per yearLabor $2,800,000 per yearOverhead $400,000 + 10% of the yearly revenueOther expenses $600,000 per yearThe engineer will give up his regular job paying $2,160,000 per year and devote his time fulltime to theoperation of the business; this will result in decreasing labor costs by $400,000 per year, material costs by$280,000 per year and overhead cost by $320,000 per year. If the man expects to earn at least 20% ofhis capital, should he invest? NOTE: Use Future Worth Method.Your company has purchased a large new trucktractor for over-the-road use (asset class 00:26). It has a cost basis of $185,000. With additional options costing $13,000, the cost basis for depreciation purposes is $198,000. Its MV at the end of six years is estimated as $37,000. Assume it will be depreciated under the GDS: a. What is the cumulative depreciation through the end of year four? b. What is the MACRS depreciation in the second year? c. What is the BV at the end of year one? Click the icon to view the partial listing of depreciable assets used in business Click the icon to view the GDS Recovery Rates (r). a. The cumulative depreciation through the end of year four is $ (Round to the nearest dollar.) b. The MACRS depreciation in the second year is $ (Round to the nearest dollar.) c. The BV at the end of year one is $ (Round to the nearest dollar.)Your company has purchased a large new trucktractor for over-the-road use (asset class 00.26). It has a cost basis of $176,000. With additional options costing $14,000, the cost basis for depreciation purposes is $190,000. Its MV at the end of six years is estimated as $41,000. Assume it will be depreciated under the GDS: a. What is the cumulative depreciation through the end of year two? b. What is the MACRS depreciation in the fourth year? c. What is the BV at the end of year two?
- An insurance company is covered by occurrence reinsurance with a layer of 750 and an attachment of 250. In a given year, it experiences individual loss occurrences of 50, 850, 300, and 2,100. What are the annual aggregate gross and net loss amounts for the company?Calculate Lopez Enterprises' gross profit at a CFAT of $2.5 million, $900,000 in expenses, $900,000 in depreciation costs, and a 26.4% effective tax rate.Revenues generated by a new fad product are forecast as follows: Year Revenues 1 $ 40,000 2 30,000 3 20,000 4 10,000 Thereafter 0 Expenses are expected to be 40% of revenues, and working capital required in each year is expected to be 20% of revenues in the following year. The product requires an immediate investment of $45,000 in plant and equipment. Required: What is the initial investment in the product? Remember working capital. If the plant and equipment are depreciated over 4 years to a salvage value of zero using straight-line depreciation, and the firm’s tax rate is 40%, what are the project cash flows in each year? If the opportunity cost of capital is 12%, what is project NPV? What is project IRR?