please help with max linear function equations. only set up, no need to solve

2. Flora-based milk is produced from a mix of bacteria (yeast) and a carbon source such as molasses which is a by-product of sugar refinement. The milk production facility has in stock 800 gallons of yeast mix and 500 gallons of molasses, allocated for production during the coming month. These resources can be used to make either milk, which sells for $8 per gallon or buttermilk, which sells for $13 per gallon. There are three production processes that use different proportions of the mixes of yeast and molasses. Each unit of process 1,2, or 3 costs $ 51, $ 11, or $ 40 respectively, and produces different mixes of milk and buttermilk. A process can be run in fraction of a unit, requiring the respective fractions of the inputs, and producing the respective fractions of the outputs. The characteristics of the three processes are summarized in the table below: I Process 1 Process 2 Process 3 Input yeast 1 5 Input molasses B 5 1 Output milk 4 3 Output buttermilk 3 1 4 Cost $ 51 $11 $ 40 3 1 1 All quantities are in gallons. For example, with the first process, 3 gallons of yeast and 5 gallons of molasses are used to produce 4 gallons of milk and 3 gallons of buttermilk. Formulate a linear programming problem that would help the manager maximize net profit over the next month