A Haberdashery Produces Scarves, Ascots, and Capes

Essay

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 + 2C^{2 + 2SAC}.It takes 9 minutes to produce a scarf, 13 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.