(a) A company manufactures 15-inch laptops and 17-inch laptops. It takes 3 hours to manufacture a 15-inch laptop and 5 hours to manufacture a 17-inch laptop. Each 15-inch laptop has 256 GB of memory and each 17-inch laptop has 512 GB of memory. The company has 480 hours available and parts for 43,520 GB of memory. The company makes a profit of $2000 on each 15-inch laptop and $3000 on each 17-inch laptop.