Optimizing

Hello,

I am fairly new with R and am having trouble finding an optimal group.  I
checked the help functions for the various optimize commands and it was a
little over my head.

I have a dataset with 4 columns, name, type, value, and cost.  The set
consists of a list of people, which have 3 types.  I want to choose 6
people, two of each type, and maximize the sum of their values.  However,
I'm subject to the constraint that the wage of the three people has to sum
to less than 20 dollars.  Here is some sample data.

people <- c("A", "B", "C", "D", "E", "F", "G", "H", "I")
type<- c(1, 1, 1, 1, 2, 2, 3, 3, 3)
value<-c(25.20, 24, 38, 20, 14, 20, 31, 11, 8)
wage<- c(4, 3.8, 5.1, 3.5, 2.4, 3, 6, 2.4, 2)

data<- data.frame(people, type, value, wage)

With this small dataset the question isn't very interesting, but the answer
would be something like person C, D, E, F, G, and I (I didn't check to see
that those prices sum to less than $20).

How can I write a program that will do this?  Can I just use the optimize
command?  Do I have to transform my dataset into something that is easier
to use the optimize command on?  Or should I write my own code that does
the process?

Thanks,

Sam

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