Kindly help.
3. The extensive form of a 2-person game is as follows: 1/2 1/2 1 b C d C e [8] [:][3] [8] [3] [10] (a) What are the pure strategy sets for players I and II. (b) Derive the normal (strategic) form of the game? (c) Find the Nash Equilibrium(a) of the game. (d) Is there any sub-game non-perfect equilibrium? Explain.Question 4 a) Tiga projek kerja-kerja awam yang saling eksklusif; Alpha, Gamma dan Beta kini sedang dipertimbangkan bagi menyediakan prasarana kemudahan awam melalui peruntukan Rancangan Malaysia Kesebelas, RMK11. Kos dan faedah masing- masing projek dimasukkan ke dalam Jadual S4(a) di bawah. Setiap projek mempunyai hayat berguna selama 50 tahun, dan MARR adalah 10% setahun. Projek yang manakah antara projek-projek ini harus dipilih sebagai project terbaik mengikut peruntukan yang disediakan? (Nota: Gunakan prosedur nisbah B-C peningkatan) Three mutually exclusive alternative public-works projects; Alpha, Gamma and Beta are currently under consideration in providing the public infrastructure facilities via Eleventh Malaysia Plan budget. Their respective costs and benefits are included in Table Q4(a) below. Each of the projects has a useful life of 50 years, and MARR is 10% year. Which, if any of these projects should be selected as the best project that follows the provided budget? (Note: Use incremental B-C ratio procedure). Jadual $4(a)/Table Q4(a) Alpha Gamma Beta Pelaburan kapital Capital investment RM8,500,000 RM10,000,000 RM12,000,000 Kos operasi dan penyelenggaraan tahunan RM750,000 RM725,000 RM700,000 Annual operating and maintenance costs Nilai pasaran RM1,250,000 RM1,750,000 Market value RM2,000,000 Faedah tahunan RM2, 150,000 RM2,265,000 RM2,500,000 Annual benefit (8 markah/marks)Question 3 Sebuah syarikat utiliti mengunakan generator kuasa diesel untuk membekalkan kuasa tunggu sedia kepada stesen pengepaman. Wujud peluang bagi syarikat untuk mengunakan gas asli dalam membekalkan kuasa bagi generator-generator, tetapi syarikat harus menunggu beberapa tahun lagi bagi gas asli dapat dibekalkan ke kawasan pendalaman. Syarikat menganggarkan dengan bertukar pada sumber gas asli, mereka dapat menjimatkan kos sebanyak RM13,000 setahun untuk tempoh 10 tahun, mulai 3 tahun dari sekarang. Bagi kadar faedah sebanyak 6%, dapatkan: A utility company provides standby power to pumping stations using diesel-powered generators. An alternative has arisen whereby the utility could use natural gas to power the generators, but it will be few years before the gas is available at remote sites. The utility estimates that by switching to gas, it will save RM13,000 per year for 10 years, starting 3 years from now. At an interest rate of 6% per year, determine: a) Nilai kini dan nilai tahunan untuk tempoh 12 tahun. The present worth and the annual worth over 12 years. (4 markah/marks) b) Sebagai pilihan, syarikat utiliti boleh membeli sebuah generator kuasa diesel yang baru. Kirakan nilai kini untuk generator yang mempunyai kos pertama (kos beli) sebanyak RM52,000, jangka hayat 10 tahun, dan kos operasi tahunan sebanyak RM13,000 untuk 4 tahun pertama, bertambah dengan kadar 10% setahun selepas itu. Alternatively, the utility company could invest on a new diesel powered generator. Calculate the present worth for the diesel-powered generator that has an initial cost of RM52,000, a life of 10 years, and an annual operating cost of RM13,000 for the first 4 years, increasing by 10% per year thereafter. (6 markah/marks) c) Syarikat berkeputusan untuk mengantikan generator beberapa tahun kemudian. Syarikat ingin menyimpan RM40,000 ke dalam akaun pelaburan dan berharap jumlah akan bertambah kepada RM60,000 pada masa ianya diperlukan (andaikan harga generator kuasa diesel baru yang akan dibeli berharga sekitar RM60,000 beberapa tahun kemudian). Berapa lamakah masa di ambil untuk pelaburan mencecah jumlah yang diharapkan jika kadar faedah ialah 12% setahun? The company decided to replace the generator several years later. The company would like to put aside RM40,000 into the investment account and would like the amount to reach RM60,000 during that time (assuming the price of the new diesel powered generator will be around this price several years later). How long did it take for the investment to reach the desired amount if the interested rate is 12% per year? (4 markah/marks)
