Problem
A beverage producer needs to minimize shipping costs from its two primary plants in Hamilton and Waterloo. All wholesale orders within the city are shipped from one of these plants. An outlet in Toronto orders 200 cases of soft drinks, on the same day an order for 240 cases comes from London. The plant in Hamilton has 300 cases ready to ship and the plant in Waterloo has 200 cases. The cost of shipping each case to Toronto is $0.50 from Hamilton, and $0.70 from Waterloo. The cost of shipping each case to London is $0.60 from Hamilton, and $0.65 from Waterloo. How many cases should be shipped from each warehouse to minimize costs?
To earn full marks you must show all works (or steps) to arrive at your answers. You must draw the graph to show the feasible regions.