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Submission: Tech Appendix
Equation
a
S
=
(
c
I
+
a
W
)
/
2
>
a
W
MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamyyamaaCaaaleqabaGaae4uaaaakiabg2da9maabmaabaGaam4yamaaBaaaleaacaqGjbaabeaakiabgUcaRiaadggadaahaaWcbeqaaiaabEfaaaaakiaawIcacaGLPaaacaGGVaGaaGOmaiabg6da+iaadggadaahaaWcbeqaaiaabEfaaaaaaa@439D@