1. Define a "PC" abstract data type whose objects represent personal computers, including processor speed, RAM, hard-disk drive, CD speed, and price.
2. Write the following functions for your ADT above, using the extended SQL for internal functions:
1. A constructor function called newPC that takes values for the five attributes of the PC ADT and returns a new object of that type. Use the built-in constructor PC() to define this function.
2. A function value that takes a PC object as argument and returns an "evaluation" of the PC, which is a real number telling how "good" the PC is. The formula for the "value" of the PC is the processor speed plus 4 times the RAM (in megabytes), plus 40 times the hard disk (in gigabytes), and 10 times the speed of the CD.
3. A function better that takes a PC object as argument and returns another PC object with twice the processor speed, RAM, hard disk, and CD speed, and the same price. You may use the constructor newPC from part (a).
4. A function equalPC that serves as the equality for objects. This function reports two PC's are "equal" if they have the same speed, same RAM and hard disk size, regardless of the value of the other components.
5. A function ltPC that serves as the less-than function for the ADT PC. This function finds p₁ < p₂ if the "value" of PC p₁ is less than that of PC p₂, where "value" is as defined in part (b). You may use the function value defined in part (b).

(*) Adapted from Ullman & Widom, A First Course in Database Systems, Prentice-Hall, 1997, pp. 456-457.