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About cyeokpeng

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  1. The admissions office at State University wants to develop a planning model for next year's entering freshman class. The university has 4500 available openings for freshmen. Tuition is $8600 for a local student, and $19200 for an overseas student. The university wants to maximize the tuition fees it receives new year. By state mandate, it can admit no more than 47% overseas students. Also, each college in the university must have at least 30% local students in its freshmen class. In order to be ranked in several national magazines, it wants the freshmen class to have an average SAT score of 1150. Following are the average SAT scores for last year's freshmen class for local and overseas students in each college in the university plus the maximum size of the freshmen class for each college: College Local (SAT) Overseas (SAT) Total Capacity 1. Architecture 1350 1460 470 2. Arts and Social Sciences 1010 1050 1300 3. Agriculture 1020 1110 240 4. Business 1090 1180 820 5. Engineering 1360 1420 1060 6. Human Resources 1000 1400 610 Ans: (Textbook question, but no answers) I show some of the workings, not all because too tedious: Let the decision variables be xj = no. of students as shown in the table below College Local Overseas 1. Architecture x1 x2 2. Arts and Social Science x3 x4 3. Agriculture x5 x6 4. Business x7 x8 5. Engineering x9 x10 6. Human Resources x11 x12 Objective Function Maximize tuition fees, Z = $ 8600x1 + 19200x2 + 8600x3 + 19200x4 + 8600x5 + 19200x6 + 8600x7 + 19200x8 +8600x9 + 19200x10 + 8600x11 + 19200x12 Subject to: Class size constraints for each college is straightforward, there are 6 of them, with total no. of students in that college <= stated class size. The two state policies are also straightforward, so I don't waste time showing. I only have problems in the last type of constraints i.e. the constraints relating to the average SAT scores. The constraints talk about each of the class must have an average SAT score of 1150. We are only given past year average SAT scores for each local and overseas student in each type of college. Question is: with only these limited info, how are we going to model these constraints? I tried this way of modeling the average SAT score constraints, but it gives me with some problems too. Using past year SAT scores to model this year scores (assume), (Estimated total scores for local students in certain college*no. of local students + Estimated total scores for overseas students in same college*no. of overseas students) / total no. of students in that college ≥ 1150 Hence, there will be 6 constraints for 6 different colleges! But after some algebraic manipulations, some constraints seem to be nonsensical. Eg. −200x1−310x2 ≤ 0 (always true, so can delete) 140x3 + 100x4 ≤ 0 (always false) 130x5 + 40x6 ≤ 0 (always false) 60x7 − 30x8 ≤ 0 (this constraint is ok) −210x9−270x10 ≤ 0 (always true, so can delete) 150x11 − 250x12 ≤ 0 (this constraint is ok) Can I make some reasonable assumptions to solve this problem? Like, since in the Arts & Social Sciences college and Agriculture college, it is impossible to make the average SAT score to meet minimum standards, so we leave it out of the constraints. i.e. the constraints (using those with physical meaning) for these become: 60x7 − 30x8 ≤ 0 150x11 − 250x12 ≤ 0 Is there any logical error behind this reasoning and assumptions?
  2. I am at a loss of how to write down circuit network equations when (i) a current source which cannot be clearly converted into a equivalent voltage source is included in one specific mesh. (ii) a dependent voltage source is included in one specific mesh. using the matrix equation form. For (i), the voltage across the current source is dependent on the variables of mesh currents, so it cannot be included into the voltage excitation/input matrix Vmesh. For (ii), can we treat the dependent source as a normal element like a resistor in the derivation of the impedance matrix? The matrix equation of the circuit network is characterized by Vmesh = Z * I where Vmesh = voltage excitation matrix Z = impedance matrix I = mesh current matrix Example circuit problem shown in attachment: Thansk for help!
  3. I have realized the limitation of current in embedded system design of a particular application. The design is logically correct in terms of flow diagrams, but because, it drives plenty of LEDs, including the 7-segment display and a pair of dc motors, if the choice of batteries is not correct, even though the voltage input is right, the system will not work!
  4. True, in the way as YT2095 has described, you can generate electricity, but the current generated in the coil (I think in pico to microAmpere range) is too small for any use in most electrical applications. Even the least power-hungry device like the LED, I doubt it will light up.
  5. Hi, I know how to bias a BJT transistor to operate in the active region, so that the amplifier circuit can operate as a small-signal amplifier. Two methods (i) Use biasing resistors to form a self-biasing circuit. (ii) Use diode biasing, coupled with biasing resistors. Qn1 However, how do we bias the transistor circuit to act as small signal amplifier, if MOSFETs are used instead? Design of dc biasing circuit for MOSFET as an amplifier??? I read from my textbook that we need to bias the MOSFET in the saturation region, which is quite different from the BJT amplifier dc biasing design. The relation of MOSFET in saturation region is Id = K(Vgs - Vt)^2 where Id = dc drain current K = a property of MOSFET (What exactly is this?) Vgs = dc gate-source voltage Vt = threshold voltage of MOSFET Qn2 Is there any difference in dc biasing design of n-type enhancement MOSFETs with n-type depletion type MOSFETs? What is the difference? Qn3 After the MOSFET biasing point is fixed (saturated), we input an small ac signal in the input port, to get an amplified output signal in the output port, with the midband gain depending on the amplifier design. How is the small signal equivalent circuit model different for enhancement and depletion type MOSFETs? My answer is, they are essentially the same, but with one slight difference: vgs for enhancement type is positive, while vgs for depletion type is negative, am I correct? Qn4 In the small signal model of MOSFET, the ac drain current id = transconductance * vgs ---Linear, voltage-controlled current source Why is it this formula, and NOT Id = K(Vgs - Vt)^2? transconductance = 2K(Vgs - Vt) --Enhancement and Depletion type MOSFET
  6. Yes i agree. Start learning from the basics, the simplest, which is the Intel 8086/8088 microprocessor rich instruction set, aseembly directives, software architecture of the 8086/8088 and hardware interfacing of the RAM, ROM, timer chip, UART chip, and plenty of others. This is because, Intel's microprocesor chip is upward-compatible, so even if you write a assembly code for 8086/8088, you can run and implement it on let's say 80486 or higher processor, your Pentium 4.
  7. Hi, I am now doing a project to write a 16-bit DOS piano program to play the 12 notes in an octave, which I have completed. But this program must also be able to "talk" to another computer through null modem R2-232 connection so that the note played on the local PC is also played on the terminal PC. I have a severe problem accessing the COM1 port on the Window XP platform, due to protected rights of accessing the I/O ports in Windows NT and higher operating systems, even when I am using the 16-bit DOS emulator program NTVDM.exe. Is there any quick solution to this problem, how am I going to bypass the Privilege level access of I/O ports (COM1 port) with my written software program? (For example, adding a few assembly codes? How?) Thanks
  8. Most wi-fi systems that you bought from the store cannot extend tha aerial antenna, it is fixed. The only thing we consumers could do to increse signal strength and coverage is to position the antenna of the wireless accesspoint 90 degrees up!
  9. I have worked out the voltage-time relationship of the capacitor-resistor network using 1st principles. The solution is attached in the word document I have uploaded. V = v0 - v0*exp(-t/RC) for charging case. Cheers! The general solution of the de.doc
  10. Any strong reason why you use NaOH as the electrolyte, instead of CuSO4 solution or other metallic solution???
  11. Err, without moving the position of the router and the computer??? If it is at the end of the reachable radius, the only thing that you can do is to remove as much physical obstruction between the line of sight of the router and the computer. Anything metallic will block EM waves and reduce the signal strength. Also you can try locating your wireless router higher up so as to reduce any possible physical obbstruction. Another way you may try is to move a little bit of the wireless card postition to move out of any possible multipath fading phenomenon. But these two methods may not be that effective after all. The most ffective solution is only to move the computer nearer to the wireless router. Cheers, Yeok Peng
  12. What program did you use to draw that pretty diagram, Jakari?
  13. Are you assuming that the other radio is in fact already turn on? Anyway, based on what I know, it should not affect the intensity of the other radio much, even though the radio you are turning on is activated through remote control. The radio frequency that the remote control is using a frequency band that is quite far away from the spectrum of the actual radio signals from the radio station.
  14. Very Very simple radio! An antenna A few variable capacitors inductor coils resistors Make a RLC resonant circuit using these and we can tune in to the frequency you want by varying the capacitance of the variable capacitor. It works but it is a very poor quality one.
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