7) A haberdashery produces scarves, ascots, and capes. The profit function for the haberdashery is expressed by the following equation: profit = 4S + 2A + 5C + 0.852 + 1.4A2 + 202 + 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