Can someone please write the following R codes to solve these three questions. If the R code is correct and gives the correct answer I will give thumbs up. Please answer all three questions.

1. Learn and use R IpSolve package to solve the following LP problem: min 3.01 +12 s.t. 21 - 22 S-1 -21-22-3 2.61 +22 0. library (1pSolve) # write your R codes here # hint: check the lecture notes for the reference R codes. 2. For the following Non-linear Programming problem: max f(:) s.t. 1 0. library (1pSolve) # write your R codes here # hint: check the lecture notes for the reference R codes. 2. For the following Non-linear Programming problem: max f(:) s.t. 1