For this question, consider that the letter “A” denotes the last 4 digits of your student number. That is, for example, if your student number is: 12345678, then A = 5678. Suppose that the consumer has a utility function given by ????(????,????)=????0,2????0,8. The prices of goods X and Y are given by pX = 4 TL and pY = 2 TL. The total budget the consumer has is given by I = A TL.

a. Write down the consumer's optimization problem (formally, as we wrote in the lectures).

b. Apply the Lagrangian method. Find the necessary condition (NC) for the consumer’s optimization problem. Then find the values of X and Y that maximize consumer’s utility.

c. Illustrate your results by using a graph.

d. In the graph you drew for part (c), mark a consumption bundle that is not optimal (i.e. does not satisfy the NC) and discuss why it is not optimal Find D.

Transcribed Image Text:

7:47 PM| 0.OKB/s 36 EEE Archive[aust.edu mail access] -. drive.google.com F2 (A, B, C, D) = (each single unique digit of your student ID) [hints: if your ID is 170105199 then take 1, 8, 0, 5, 9 so F2-E(0, 1, 5, 8, 9)] Write the PLA program table. Implement it using minimum amount of components and show the PLA diagram. (b) Design a 15:1 MUX using 4:1 MUX only. [2] (c) If there is any Sensor circuit A as Figure 4, which will detect any object and whenever 14] there is any object in front of the sensor it will give output 0 otherwise 1. There is another system, C consisting Seven segment display which will show output between 0-9 corresponding to the BCD input of the system. Design system B which will take the output of A system and provide input to the C system and it'll count how many object is coming in front of the sensor, highest value will be 9 then system C output will be 0 again. BCD7-seg OBJECT System B Output System A System C Figure-4: System consisting counter and Seven segment display Page 4 of 5 Electronic Eagineering 5. (a) A digital system is illustrated using following State Diagram as Figure 5 [6] M/X 000 N/Y N/Z P/Y N/X 111 100 P/Z M/Y M/Y 101 Figure 5 [ if sum of last 3 digits of your ID is even then M= 00, N=01, P-11, X-10, Y=00, Z=01 If sum of last 3 digits of your ID is odd then M= 01, N=10, P= 00, X-01, Y=11, Z=11] Write down the State Table of the above system. Also mention the excitation table for D and J-K flip-flop. i. ii. Design the system using J-K flip-flops. iii. Also design it using T flip-flops. (b) Implement question no 3(c) using only one type of Universal gate (ANY universal [4] gate that you think convenient to implement) 7:47 PM| 0.OKB/s 36 EEE Archive[aust.edu mail access] -. drive.google.com F2 (A, B, C, D) = (each single unique digit of your student ID) [hints: if your ID is 170105199 then take 1, 8, 0, 5, 9 so F2-E(0, 1, 5, 8, 9)] Write the PLA program table. Implement it using minimum amount of components and show the PLA diagram. (b) Design a 15:1 MUX using 4:1 MUX only. [2] (c) If there is any Sensor circuit A as Figure 4, which will detect any object and whenever 14] there is any object in front of the sensor it will give output 0 otherwise 1. There is another system, C consisting Seven segment display which will show output between 0-9 corresponding to the BCD input of the system. Design system B which will take the output of A system and provide input to the C system and it'll count how many object is coming in front of the sensor, highest value will be 9 then system C output will be 0 again. BCD7-seg OBJECT System B Output System A System C Figure-4: System consisting counter and Seven segment display Page 4 of 5 Electronic Eagineering 5. (a) A digital system is illustrated using following State Diagram as Figure 5 [6] M/X 000 N/Y N/Z P/Y N/X 111 100 P/Z M/Y M/Y 101 Figure 5 [ if sum of last 3 digits of your ID is even then M= 00, N=01, P-11, X-10, Y=00, Z=01 If sum of last 3 digits of your ID is odd then M= 01, N=10, P= 00, X-01, Y=11, Z=11] Write down the State Table of the above system. Also mention the excitation table for D and J-K flip-flop. i. ii. Design the system using J-K flip-flops. iii. Also design it using T flip-flops. (b) Implement question no 3(c) using only one type of Universal gate (ANY universal [4] gate that you think convenient to implement)

Answer rating: 100% (QA)

a The consumers optimization problem is to maximize the utility function UXY X02 Y08 subject to the ... View the full answer