Tom, the manager of apparel division $($separately operated$)$ at Winona Book Store, have to decide how many purple winter jackets to order for this winter. Since Tom$$s father owns a jacket production company, he can get jackets at the price of production cost, which is $$50.$ And the purple jackets will be sold at $ $120.$ After the winter season, the purple jacket will be donated to Goodwill.

The winter demands for the jackets are estimated as the following tables.