book Maths Puzzle Numerical Ability

Consider the following maximum problem in standard form:

Maximize Z = 8X1 + 2X2 + 3X3

subject to the constraints

X1 + 3X2 + 2X3 < 10
4X1 + 2X2 + 3X3 < 8

X1 > 0,

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book Other Question

The letters a, b, c, and d will be used to form passwords for the schools computer system. How many 4 letter passwords maybe formed if the letters can be used more than once in any passwrd? THE SUM OF TWO CONSECUTIVE EVEN INTEGERS IS 118.