# Just formulate linear program

A company produces fragrances $A$, $B,$ and $C$. There is virtually unlimited market demand for these. Fragrance $A$ sells for \10$per gallon,$B$for$\$56$ per gallon, and $C$ for $\$100$per gallon. Producing$1$gallon of$A$requires$1$hour of labor; producing$1$gallon of$B$requires$2$hours of labor plus$2$gallons of$A$; producing$1$gallon of$C$requires$3$hours of labor plus$1$gallon of$B$. Any$A$used to produce$B$cannot be sold (and same for$B$used in$C$). A total of$40\$ labor hours are available. Formulate a linear program to maximize the company’s revenue