# جدول 1
n=2
p=0.1
ca=2
cpm=1
ccm=10
C<- function(N){
  F_N <-pgeom(N-1,p)
  P_T_N<- 1- F_N^n
  a<- ccm+n*ca
  b<- cpm-ccm-n*ca
  C_N <- (a+b*P_T_N+n*ca*F_N*(1-F_N^(n-1)))/sum(sapply(0:(N-1), function(t) 1-pgeom(t-1,p)^n))
  return(C_N)
}
#محاسبه ی تابع هزینه به ازای مقادیر داده شده
N_values<- 1:10
C_values<- sapply(N_values,C)

#پیدا کردن Nبهینه
optimal_N <- N_values[which.min(C_values)]
is_optimal <- TRUE
if(optimal_N >1 && optimal_N < length(N_values)){
  if(C_values[optimal_N] >= C_values[optimal_N-1] || C_values[optimal_N] >= C_values[optimal_N+1]){
    is_optimal <-FALSE
  }
}else{
  is_optimal <- FALSE
}

results<-data.frame(N=N_values,C_N=C_values)
print(results)

if(is_optimal){
  cat("Nبهینه :",optimal_N,"با هزینه :",C_values[optimal_N],"\n")
}else{
  cat("هیچNبهینه ای پیدا نشد که کمترین هزینه را نسبت به مقادیر قبلی و بعدی خود داشته باشد.\n")
}

<pre>An Error occurred while handling another error:
yii\web\HeadersAlreadySentException: Headers already sent in  on line 0. in /var/www/html/prof-homepages/vendor/yiisoft/yii2/web/Response.php:366
Stack trace:
#0 /var/www/html/prof-homepages/vendor/yiisoft/yii2/web/Response.php(339): yii\web\Response-&gt;sendHeaders()
#1 /var/www/html/prof-homepages/vendor/yiisoft/yii2/web/ErrorHandler.php(136): yii\web\Response-&gt;send()
#2 /var/www/html/prof-homepages/vendor/yiisoft/yii2/base/ErrorHandler.php(135): yii\web\ErrorHandler-&gt;renderException()
#3 [internal function]: yii\base\ErrorHandler-&gt;handleException()
#4 {main}
Previous exception:
yii\web\HeadersAlreadySentException: Headers already sent in  on line 0. in /var/www/html/prof-homepages/vendor/yiisoft/yii2/web/Response.php:366
Stack trace:
#0 /var/www/html/prof-homepages/vendor/yiisoft/yii2/web/Response.php(339): yii\web\Response-&gt;sendHeaders()
#1 /var/www/html/prof-homepages/vendor/yiisoft/yii2/base/Application.php(656): yii\web\Response-&gt;send()
#2 /var/www/html/prof-homepages/vendor/faravaghi/yii2-filemanager/models/Files.php(696): yii\base\Application-&gt;end()
#3 /var/www/html/prof-homepages/vendor/faravaghi/yii2-filemanager/controllers/FilesController.php(484): faravaghi\filemanager\models\Files-&gt;getFile()
#4 [internal function]: faravaghi\filemanager\controllers\FilesController-&gt;actionGetFile()
#5 /var/www/html/prof-homepages/vendor/yiisoft/yii2/base/InlineAction.php(57): call_user_func_array()
#6 /var/www/html/prof-homepages/vendor/yiisoft/yii2/base/Controller.php(180): yii\base\InlineAction-&gt;runWithParams()
#7 /var/www/html/prof-homepages/vendor/yiisoft/yii2/base/Module.php(528): yii\base\Controller-&gt;runAction()
#8 /var/www/html/prof-homepages/vendor/yiisoft/yii2/web/Application.php(103): yii\base\Module-&gt;runAction()
#9 /var/www/html/prof-homepages/vendor/yiisoft/yii2/base/Application.php(386): yii\web\Application-&gt;handleRequest()
#10 /var/www/html/prof-homepages/frontend/web/index.php(18): yii\base\Application-&gt;run()
#11 {main}</pre>