r - ContrOptim Function- Error in Argument -

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i'm trying replicate excel solver in r- constraint optimization problem

i'm trying minimize cost per action total spend/ total actions equals below function few constraints.

cpa function:

(a+b+c+d)/((consta+(baln(a)))+ (constb+(bbln(b)))+(constc+(bcln(c)))+(constd+(bdln(d)))

where unknown variables a,b,c,d , const* stands constant regressions , b* stand coefficient regression (so values have).

here simplified filled in function i'm trying minimize:

(a+b+c+d)/ (((69.31*ln(a))+(14.885*ln(b))+(21.089*ln(c))+(9.934*ln(d))-(852.93))

constraints:

a+b+c+d>=0     a+b+c+d<=130000(total spend) a<=119000 (maxa) a>=272.56(mina) b<=11000(maxb) b>=2.04(minb) c<=2900(maxc) c>=408.16(minc) d<=136800(maxd) d>=55.02(mind)

i'm doing using constraints optimization function. code below:

g<-function(a,b,c,d) { (a+b+c+d)/((consta+(balog(a)))+ (constb+(bblog(b)))+ (constc+(bclog(c)))+ (constd+(bdlog(d)))) }  gb<-function(a) g(a[1], a[2], a[3],a[4])  a<-matrix(c(1,0,0,0,-1,0,0,0,0,1,0,0,0,-1,0,0,0,0,1,0,0,0,-1,0,0,0,0,1,0,0,0,-1,-1,-1,-1,-1,1,1,1,1),4,10)  b<- c(mina, -maxa, minb, -maxb, minc, -maxc, mind, -maxd,-totalspend, 0)  constroptim(c(273,6,409,56),g,gb,a,b)

when run optimization function, states wrong arguments (error in ui %*% theta : non-conformable arguments). think gradient of function coded wrong i'm not sure. appreciated.


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