Let x1 and x2 be hours spent on oak and cherry respectively by Cabinetmaker 1

Let x3 and x4 be hours spent on oak and cherry respectively by Cabinetmaker 2

Let x5 and x6 be hours spent on oak and cherry respectively by Cabinetmaker 3

Costs per hour for each cabinetmaker are $36, $42 and $55.

Let C be the total cost of completing the projects. That is, you want to minimize

subject to

(finishing % at each maker must ad up to 100% for oak cabinets)

(finishing % at each maker must ad up to 100% for charry cabinets)

Some adjustments to the way these conditions are stated and one should

find a solution using simplex.. if one exists.