Develop and solve a linear programming model to maximize contribution to profit.

LetRi $=$ the number of barrels of input i to use to produce Regular, i $=1,2,3$Si $=$ the number of barrels of input i to use to produce Super, i $=1,2,3$

If required, round your answers to one decimal place. For subtractive or negative numbers use a minus sign even if there is a $+$ sign before the blank. $($Example: $-300)$ If the constant is $"1"$ it must be entered in the box.

Max R$1+$ R$2+$ R$3+$ S$1+$ S$2+$ S$3$s$.$t$.$ R$1+$ S$1$ R$2++$ S$2$ R$3+$ S$3$ R$1+$ R$2+$ R$3$ S$1+$ S$2+$ S$3$ R$1+$ R$2+$ R$3$ R$1+$ R$2+$ R$3$ S$1+$ S$2+$ S$3$ S$1+$ S$2+$ S$3$