Swearingen and McDonald, a Small Furniture Manufacturer, Produces Fine Hardwood

question 34

Short Answer

Swearingen and McDonald, a small furniture manufacturer, produces fine hardwood tables and chairs.Each product must go through three stages of the manufacturing process: assembly, finishing, and inspection.Each table requires 12 hours of assembly, 20 hours of finishing, and 2 hours of inspection.Each chair requires 4 hours of assembly, 16 hours of finishing, and 3 hours of inspection.The profit per table is $150 while the profit per chair is $100.Currently, each week there are 300 hours of assembly time available, 220 hours of finishing time, and 30 hours of inspection time.To keep a balance, the number of chairs produced should be at least twice the number of tables.Also, the number of chairs cannot exceed 6 times the number of tables.Formulate this as a linear programming problem.Carefully define all decision variables.Find the solution.

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Definitions:

Sense of Taste

The sense of taste is one of the five traditional senses and refers to the capability to discern different flavors in food and drinks through taste receptor cells on the tongue.

Intrinsic Tongue Muscles

Muscles located entirely within the tongue, essential for movements like rolling and elongating.

Cranial Nerves

Twelve pairs of nerves that originate in the brain and control a variety of functions including sensation, motor skills, and autonomic functions in the head and neck.

Trochlear Nerve

The fourth cranial nerve, responsible for controlling the superior oblique muscle of the eye, which allows for rotational movement.