Expression 15: "g" left parenthesis, "x" , "y" Subscript, 0 , Baseline , "y" Subscript, "f" , Baseline , "c" , right parenthesis equals "y" Subscript, 0 , Baseline plus left parenthesis, "y" Subscript, "f" , Baseline minus "y" Subscript, 0 , Baseline , right parenthesis left parenthesis, 6 left parenthesis, 1 minus "x" , right parenthesis squared "x" squared "c" positive 4 left parenthesis, 1 minus "x" , right parenthesis "x" cubed positive "x" to the 4th power , right parenthesisgx,y0,yf,c=y0+yf−y061−x2x2c+41−xx3+x4
15
Expression 16: "s" left parenthesis, "x" , alpha , phi Subscript, "p" , Baseline , "c" , right parenthesis equals left brace, 0 less than or equal to "x" less than phi Subscript, "p" , Baseline : "g" left parenthesis, StartFraction, "x" Over phi Subscript, "p" , Baseline , EndFraction , 0 , alpha , "c" , right parenthesis , phi Subscript, "p" , Baseline less than or equal to "x" less than or equal to 1 : "g" left parenthesis, StartFraction, "x" minus phi Subscript, "p" , Baseline Over 1 minus phi Subscript, "p" , Baseline , EndFraction , alpha , 0 , 1 minus "c" , right parenthesis , right bracesx,α,ϕp,c=0≤x<ϕp:gxϕp,0,α,c,ϕp≤x≤1:gx−ϕp1−ϕp,α,0,1−c
16
Expression 17: alpha Subscript, "f" "w" , Baseline equals alpha Subscript, "x" , Baseline plus 0.8 left parenthesis, alpha Subscript, "o" "p" "t" , Baseline minus alpha Subscript, "x" , Baseline , right parenthesisαfw=αx+0.8αopt−αx
Expression 19: "s" Subscript, "f" "w" , Baseline left parenthesis, "x" , right parenthesis equals "s" left parenthesis, "x" , alpha Subscript, "f" "w" , Baseline , phi Subscript, "f" "w" , Baseline , "c" Subscript, "f" "w" , Baseline , right parenthesissfwx=sx,αfw,ϕfw,cfw
19
Expression 20: "s" Subscript, "b" "w" , Baseline left parenthesis, "x" , right parenthesis equals "s" left parenthesis, "x" , alpha Subscript, "b" "w" , Baseline , phi Subscript, "b" "w" , Baseline , "c" Subscript, "b" "w" , Baseline , right parenthesissbwx=sx,αbw,ϕbw,cbw
20
Expression 21: "s" Subscript, "k" "i" "c" "k" , Baseline left parenthesis, "x" , right parenthesis equals "s" Subscript, "f" "w" , Baseline left parenthesis, "x" , right parenthesis positive "s" Subscript, "b" "w" , Baseline left parenthesis, "x" , right parenthesisskickx=sfwx+sbwx
21
Expression 22: "s" Subscript, "a" "d" "j" , Baseline left parenthesis, "x" , right parenthesis equals "s" left parenthesis, "x" , alpha Subscript, "y" , Baseline , phi Subscript, "a" "d" "j" , Baseline , "c" Subscript, "a" "d" "j" , Baseline , right parenthesissadjx=sx,αy,ϕadj,cadj
