Dalton Desk makes two different types children's desks: a regular model (R) and a deluxe model (D) with an extra shelf for book storage. Both types of desks go through Daltons' three production departments: fabrication, assembly, and packing/shipping, but required a different number of minutes in each department. For example, the regular desk needs 60 minutes of fabrication time, 45 minutes of assembly, and 15 minutes in packing & shipping. The deluxe model needs 120 minutes of fabrication time, 60 minutes in assembly, and 20 minutes in packing & shipping. Dalton has 850 hours of production time available in fabricating department, 450 hours available in its assembly department, and 200 hours available in its packaging and shipping department. Dalton reports unit profits of $6 and $8 for its regular and deluxe desks, respectively.

What is the objective function?

What is the fabrication constraint?

What is the assembly constraint?

What is the Shipping and Packing constraint?