Quantitative Aptitude – Functions – Consider the four variables A, B, C and D and a function


XAT 2020 Exam Paper – Quantitative Aptitude – Functions – Consider the four variables A, B, C and D and a function

Q. Consider the four variables A, B, C and D and a function Z of these variables, Z = 15A^2 − 3B^4 + C + 0.5D It is given that A, B, C and D must be non-negative integers and that all of the following relationships must hold:
i) 2A + B ≤ 2
ii) 4A + 2B + C ≤ 12
iii) 3A + 4B + D ≤ 15
If Z needs to be maximised, then what value must D take?

  1. 15
  2. 12
  3. 0
  4. 10
  5. 5

Answer: 12



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