productLinearProblem: Linear production programming problems
In coopProductGame: Cooperative Aspects of Linear Production Programming Problems

Description Usage Arguments Value Author(s) Examples

Given a linear production programming problem A %*% x <= b, the productLinearProblem solves the problem by making use of lpSolveAPI.

1	productLinearProblem(c, A, b, plot = FALSE, show.data = FALSE)

`c`	vector of benefits.
`A`	production matrix.
`b`	vector of resources.
`plot`	logical value indicating if the function displays graphical solution (`TRUE`) or not (`FALSE`). Note that this option only makes sense when we have a two-dimension problem.
`show.data`	logical value indicating if the function displays the console output (`TRUE`) or not (`FALSE`). By default the value is `TRUE`.

productLinearProblem returns and prints a list with the following components:

ObjetiveValue Value of the objetive function from a successfully solved linear production programming problem.

OptimalSolution Values of the variables from a successfully solved linear production programming problem.

D. Prieto

# Vector of benefits
c <- c(68,52)
# Production matrix
A <- matrix(c(4,5,6,2),ncol=2, byrow = TRUE)
# Matrix of resources. Each row is the vector of resources of each player
b <- c(4,33)
# Solution of the associated linear production game
productLinearProblem(c,A,b, show.data = TRUE)

# ------------------------------------------------------------------------
# Objetive value: 
# ------------------------------------------------------------------------
#   [1] "Z = 68"
# 
# ------------------------------------------------------------------------
# Optimal solution: 
# ------------------------------------------------------------------------
#   [1] 1 0
# ------------------------------------------------------------------------