A clothing workshop makes jackets and trousers for children. to make a jacket you need 1 m. of fabric and 2 buttons, and to make the pants you need 2 m of fabric, 1 button and 1 zipper. The workshop has 500 m of fabric, 400 buttons and 225 zippers. The profit obtained from the sale of a jacket is 420.00 and $25.00 for pants Assuming that everything that is manufactured is sold, calculate the number of jackets and pants that must be made to obtain the maximum profit. Solve by the mathematical and graphical method