#' Find maximum profit for Pure componenets strategy
#'
#' @param r1.r2 NX2 reservation prices of two goods []
#' @param p.1.min.max Vector
#' @param p.2.min.max dfg
#' @param c.1 good 1 parameter of production cost
#' @param c.2 good 1 parameter of production cost
#' @param alfa parameter of scale economics alfa = 0 --> CRS, alfa < 0 --> IRS, alfa < 0 --> DRS
#' @param beta parameter of sope economics beta = 0 --> neutral, beta > 0 complementary, beta < 0 substitution
#' @param teta parameter of complementary and substitution of goods beta = 0 --> neutral, beta > 0 complementary, beta < 0 substitution
#' @param FC fixed Cost of production
#'
#' @return max profit
#'
#' @export
Zero.Profit.PC <- function(r1.r2, p.1.min.max, p.2.min.max, c.1, c.2, alfa, beta, teta, FC) {
numerate <- max(p.1.min.max, p.2.min.max)
FC <- FC/numerate
c.1 <- c.1/numerate
c.2 <- c.2/numerate
r1.r2 <- data.frame(r1.r2)/numerate
p.1.min.max <- p.1.min.max/numerate
p.2.min.max <- p.2.min.max/numerate
####################
step <- 0.01
prices.pc <- Prices.PC(p.1.min.max, p.2.min.max, step)
output.i <-foreach(i = prices.pc[,1], j = prices.pc[,2], .combine="rbind", .packages = "bundling",.multicombine=TRUE) %dopar% {
p.1 <- i
p.2 <- j
prices.pc.i <- cbind(p.1, p.2)
output <- Profit.PC(r1.r2, prices.pc.i, c.1, c.2, alfa, beta, teta, FC)
list(output$profit,output$c.s,output$t.c,output$p.1,output$p.2)
}
output <- matrix(unlist(output.i), ncol = 5, byrow = FALSE)
ndx <- order(abs( 0 - output[,1]))[1:(round(nrow(output)/10, digits = 0))]
zero.profit <- output[ndx,]
ind.max.c.s <- apply(zero.profit, 2, max)[2]
zero.profit <- matrix((zero.profit[zero.profit[,2] == ind.max.c.s]),ncol = 5, byrow = FALSE)
####################
step <- 0.005
p.1.min.max <- c(zero.profit[1,4]-0.1,zero.profit[1,4]+0.1)
p.2.min.max <- c(zero.profit[1,5]-0.1,zero.profit[1,5]+0.1)
prices.pc <- Prices.PC(p.1.min.max, p.2.min.max, step)
output.i <-foreach(i = prices.pc[,1], j = prices.pc[,2], .combine="rbind", .packages = "bundling",.multicombine=TRUE) %dopar% {
p.1 <- i
p.2 <- j
prices.pc.i <- cbind(p.1, p.2)
output <- Profit.PC(r1.r2, prices.pc.i, c.1, c.2, alfa, beta, teta, FC)
list(output$profit,output$c.s,output$t.c,output$p.1,output$p.2)
}
output <- matrix(unlist(output.i), ncol = 5, byrow = FALSE)
ndx <- order(abs( 0 - output[,1]))[1:(round(nrow(output)/10, digits = 0))]
zero.profit <- output[ndx,]
ind.max.c.s <- apply(zero.profit, 2, max)[2]
zero.profit <- matrix((zero.profit[zero.profit[,2] == ind.max.c.s]),ncol = 5, byrow = FALSE)
####################
remove("output")
output.Zero.Profit.PC <- list(
zero.profit.aprox = zero.profit[1,1]*numerate,
zero.profit.c.s = zero.profit[1,2]*numerate,
zero.profit.t.c = zero.profit[1,3]*numerate,
zero.profit.p.1 = zero.profit[1,4]*numerate,
zero.profit.p.2 = zero.profit[1,5]*numerate)
return(output.Zero.Profit.PC) }
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