A food store sells two kinds of boxes, each containing a mixture of nuts. In Box Type I (Green), 1 kg of walnuts are mixed with 1 kg of Antep peanuts. In Box Type II (Blue), 1 kg of Karadeniz nutsismixed with 2kg of Anteppeanuts. The profit gained on selling a Green Box is 60 dollars,whileit is 190 dollarsfor selling a BlueBox. The situation is summarized in the following table.

The store has available 40 kg of walnuts, 30 kg of Karadeniz nuts and 70 kg of Antep peanuts. If the store can sell all of the boxes it will prepare, how many Green and Blue boxes should be prepared such that the profit is maximized? You are free to use the geometric approach or the Simplex Method.

 

Box I (Green) Box II (Blue) Ingredient 1 kg walnut, 1 kg Antep peanut 1 kg Karadeniz nut, 2 kg Antep peanut Profit/ unit sold 60-dollars 190 dollars