Extremelkes produces professional helmets. The helmet's outer shell made of composite materials that contain Carbon, Kevlar and Polycarbonate. The company has a contract for helmets, with shells that must weigh 1.7 , from which at least 20% must be carbonat least 15% of the shell must be Kevlar and no more than 50% of the shell must be Polycarbonate. The sum of CarbonKevlar and Polycarbonate must equal 1.7 lb. Costs are: Carbon \$7.50/lb , Kevlar \$14/lb , Polycarbonate \$2.50/b The objective is to determine the amounts of Carbon, Kevlar, and Polycarbonate to be used in each helmet shell that will minimize total material cost .

fx ExtremeBikes produces professional helmets. The helmet's outer shell is made of composite materials that G (do not share your file with anyone) ExtremeBikes produces professional helmets. The helmet's outer shell is made of composite materials that contain Carbon, Kevlar, and Polycarbonate. The company has a contract for helmets, with shells that must weigh 1.7 lb each, from which at least 20% must be carbon, at least 15% of the shell must be Kevlar and no more than 50% of the shell must be Polycarbonate. The sum of Carbon, Kevlar and Polycarbonate must equal 1.7 lb. Costs are: Carbon $7.50/lb, Kevlar $14/lb, Polycarbonate $2.50/lb, The objective is to determine the amounts of Carbon, Kevlar, and Polycarbonate to be used in each helmet shell that will minimize total material cost. 0.5 points min 7.50x1+14x2+2.5x3 Formulate Objective Function Subject To: 0.5 points