a. A monopolist uses one input X, which she purchases at the fixed price p=5 in order to
produce output q. Her demand and production functions are:
P=85-3q and q= 2x1/2 respectively.
Derive the equilibrium output and equilibrium profit.
b. “In real world, sometimes it is not possible to achieve optimum welfare.” Comment
and discuss the obstacles in attaining Pareto optimum. 

Assume that a disk has 32 tracks, with each track having 16 sectors and each sector is of size 512 Kilobytes. The cluster size in this system can be assumed to be as 2 sectors. A file having the name mcs012.txt is of size 16 MB. Assume that it is a new disk, and the first 8 clusters are occupied by the Operating System. Rest all the clusters are free. How can this file be allotted space on this disk? Also, show the content of FAT after the space allocation to this file. You may make suitable assumptions

What is an I/O processor? Explain the selector channel structure in the context of the I/O processor. How is an I/O processor different from DMA?

What is an Interrupt? Why are interrupts used in a computer? Explain different kinds of interrupts. Also, explain the process of interrupt processing.

 A computer has 64 K Word RAM with each memory word of 16 bits. It has cache memory
having 32 blocks having a size of 32 bits (2 memory words). Show how the main memory
address (1AFC)h will be mapped to the cache address, if 
 (i) Direct cache mapping is used
 (ii) Associative cache mapping is used
 (iii)Two way set associative cache mapping is used.
You should show the size of tag, index, main memory block address and offset in your answer.

How many address lines are needed for this RAM? Give reason in support of your answer.

How many data input and data output lines does this RAM needs? Explain your answer

Refer to the Figure 2(b) on page 8 in Unit 1 of Block 2. Draw the Internal organisation of an 8×8 RAM. Explain all the Input and Output of this organisation. Also answer the following:

Exhibit the use of Mail merge in MS word, Choose an example of your choice

Represent (-121.25)10 and (0.0625)10 in IEEE 754 single precision and double precision formats

a) Create an invitation card of your birthday party in MS-Word.

Explain the functioning of the edge-triggered flip-flop with the help of a diagram.

Explain the functioning of the D flip-flop and the T flip-flop with the help of a logic diagram and characteristic table. Also, explain the excitation table of this flip-flop

Write HTML code to display a webpage for a hospital and create a web form for taking online appointment of a doctor.

Assume that a source data value 1011 was received at a destination as 1010. Show how Hamming's Error-Correcting code bits will be appended to source data to identified and correct the error of one bit at the destination. You may assume that transmission error occurs only in the source data and not the source parity bits

Create a database in MS-Access for a hospital, which is having the
following database fields :
• Doctor ID, Doctor Name, Consultation Fee, Specialization
• Patient ID, Patient Name, Age, Gender 

Explain the functioning of a 3 × 8 decoder with the help of logic diagram and example input

Consider the Adder-Subtractor circuit as shown in Figure 3.15 page 76 of Block 1. Explain how this circuit will perform subtraction (A-B), if the value of A is 1011 and B is 0011. You must list all the bit values including Cin and Cout and overflow, if any

Write a Java applet which converts metres into kilometres and centimetres as given by the user.

Write a program in 'C' language, which accepts a text string from a user and prints its reverse order.