hard · GMAT Quant

A manufacturing firm produces two specialized engine models, Model A and Model B, using high-precision machines. Each Model A requires 4 hours of milling and 3 hours of finishing. Each Model B requires 7 hours of milling and 4 hours of finishing. The shop logs exactly 165 hours of milling time. Management requires that total finishing time 3x + 4y ≤ 108 hours, total production x + y ≥ 29 units, and the model ratio satisfies x ≤ y + 2, where x is the number of Model A units and y is the number of Model B units. If x and y are positive integers

What is the value of x + 2y?

  1. 38
  2. 45
  3. 46
  4. 52
  5. 60

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