A haberdashery produces scarves, ascots, and capes.The profit function for the haberdashery is expressed by the following equation: profit = 4S + 2A + 5C + 0.8S² + 1.4A² + 2C² + 2SAC.It takes 10 minutes to produce a scarf, 15 minutes to produce an ascot and 30 minutes to produce a cape.There is a total of 50 hours available for labor each week.There must be at least 50 scarves, 100 ascots, and 25 capes produced each week.Formulate a nonlinear program representing the profit maximization problem for the haberdashery and solve using Solver's GRG Nonlinear routine.

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The Answer of A haberdashery produces scarves, ascots, and capes.The profit function for the haberdashery is expressed by the following equation: profit = 4S + 2A + 5C + 0.8S² + 1.4A² + 2C² + 2SAC.It takes 10 minutes to produce a scarf, 15 minutes to produce an ascot and 30 minutes to produce a cape.There is a total of 50 hours available for labor each week.There must be at least 50 scarves, 100 ascots, and 25 capes produced each week.Formulate a nonlinear program representing the profit maximization problem for the haberdashery and solve using Solver's GRG Nonlinear routine.

A Haberdashery Produces Scarves, Ascots, and Capes