The table below gives per$-$unit labor input requirements for the three products that we produce.

Each unit of auto$-$laces vields a profit of $$6,$ hover board $$18,$ and flux capacitors $$15.$ Total labor availability in the prep department is $160$ hours, in assembly $200$ hours, and in manufacture $288$ hours.

Additionally, the marketing team research suggests that the available market for flux capacitors is no greater than $16$ units for this production period.

Create an LP model to determine the best product mix.

Also inspect the constraints in your completed model and comment on the constraints that "hold us back" from a better solution, and what might be done to address them.

$\backslash$table$[[$Parameters$],[,,,,],[,,$Per Unit Labor Hour Rqmts$],[,,$Auto Laces,Hover Board,$\backslash$table$[[$Flux$],[$Capacitors$]]],[,$Prep,$5,4,3],[,$Assembly,$4,10,4],[,$Manufacture,$2,2,4]]$

Decision Variables

Objective Function

Constraints