How the production functinos for hardwood usage

Reference no: EM13233827

Sleak Teak builds yard furniture using domestic hardwoods and (in a smaller shop) knick-knacks from the same sort of wood. Although hard woods were readily available in the past, recently they have become harder to botain. Consultation with the managers of the two lines has resulted in the following production functinos for hardwood usage in the 2 products:

Yard furniture: ???????Y = 2*Ty - 0.001 * Ty2 (* Ty square)

Knick knack: K = 20*Tk - 0.01 T?k??2 (* Tk quare)

where Y = units of furniture, K = units of knick knacks, Ty = teak used in yard furniture, and Tk = teak used in knick-knacks. Yard furniture can be sold at a profit of $100 per unit and knick-knacks can be sold at a profit of $25 per unit. Sleak Teak has 1300 units of teak available. How should it allocate production. Explain.

Reference no: EM13233827

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