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Native Customs Sells Two Popular Styles of Hand-Sewn Footwear: a Sandal

question 28

Essay

Native Customs sells two popular styles of hand-sewn footwear: a sandal and a moccasin.The cost to make a pair of sandals is $18,and the cost to make a pair of moccasins is $24.The demand for these two items is sensitive to the price,and historical data indicate that the monthly demands are given by S = 400 - 10P1 and M = 450 - 15P2 , where S = demand for sandals (in pairs),M = demand for moccasins (in pairs),P1 = price for a pair of sandals,and P2 = price for a pair of moccasins.To remain competitive,Native Customs must limit the price (per pair)to no more than $60 and $75 for its sandals and moccasins,respectively.Formulate this nonlinear programming problem to find the optimal production quantities and prices for sandals and moccasins that maximize total monthly profit.

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Definitions:

Specific Learning Disorders

Neurodevelopmental disorders that manifest in childhood as significant difficulties in learning and using academic skills, which may include reading, writing, or arithmetic.

DSM-5

The fifth edition of the Diagnostic and Statistical Manual of Mental Disorders, a comprehensive classification and diagnostic tool used in psychiatry.

Motor Tic

Sudden, involuntary motor movements often experienced as part of tic disorders.

Vocal Tic

Involuntary sounds or noises such as throat clearing, grunting, or sniffing, often associated with Tourette syndrome.

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