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Assertion (A): The design point is normally placed at a corner of the feasible region.

Reason (R): Thrust costs engine weight and fuel while wing area costs structural weight and drag.

Select the correct answer from the options below.

  • A.Both A and R are true, and R is the correct explanation of A
  • B.Both A and R are true, but R is not the correct explanation of A
  • C.A is true but R is false
  • D.A is false but R is true

Answer: A

Correct answer: Both A and R are true, and R is the correct explanation of A

Both statements are true and the reason explains the assertion. Thrust costs engine weight, price and fuel, so the lowest acceptable \( T/W \) is preferred; wing area costs structural weight and wetted area, so the highest acceptable \( W/S \) is preferred.

Pushing both objectives against their limits puts the design point on the boundary of the feasible region, and specifically where two boundaries meet - a corner. This is why a well-sized aircraft normally has exactly two active constraints, and why those two are where design sensitivity lies.

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