Sleak Teak Builds Yard Furniture, Using Domestic Hardwoods and (In

question 46

Essay

Sleak Teak builds yard furniture, using domestic hardwoods and (in a smaller shop) handcrafted knick-knacks from the same sort of wood. Although hardwoods were readily available in the past, recently they have been much more difficult to obtain. Consultation with the plant managers of the two lines has resulted in the following production functions for hardwood usage in the two products. For yard furniture: Y = 2T_Y - .001T_Y², while for Knick-knack: K = 20T_K - .01T_K². Here Y and K denote units of the two types of products and T_Y and T_K denote teak used in yard furniture and knick-knacks respectively. Yard furniture can be sold at a profit of $100 per unit, and knick-knacks can be sold at a profit of $25 each. Sleak Teak has 1,300 units of teak available. How should it be allocated across the two products? Explain.

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Definitions:

Hallucination

Hallucination is a perceptual experience without the presence of an external stimulus, often manifesting in visual, auditory, or other sensory forms.

Cannabis

The hemp plant from which marijuana, hashish, and THC are derived.

Hashish

A drug made from the resin of the cannabis plant, commonly used for its psychoactive effects.

Peyote Cactus

A small, spineless cactus with psychoactive alkaloids, particularly mescaline, used traditionally by Native Americans for religious ceremonies and healing.