Suppose we have $5$ different product types, each type has its own profit, weekly demand, and consumes some materials and times to be produced, as follows.

Formulate the model to maximize the profit and solve it in CPLEX by using arrays

to define the parameters and variables. Assume the available raw material is $4000,$ and the available labor hours is $160$ hours $(4$ labors, $40$ hours per week for each worker$).$

# use $.$dat files

$\backslash$table$[[$Product$,$X$1,$X$2,$X$3,$X$4,$X$5],[$Profit$,10,12,14,8,6],[$Weekly Demand,$100,120,60,90,110],[\backslash$table$[[$Consumption per$],[$unit from raw$],[$material$]],3,4,6,2,5],[\backslash$table$[[$Labor minutes per$],[$unit$]],15,12,20,20,8]]$