4. African Lakes Coffee ( African Lakes Coffee shops by their coffee beans from hill country around Lake Victoria, Lake Tanganyika and Lake Malawi. The caffeine content, cost per kg and the weekly available supply the different regions are given in the Table below. Brand Name by Grams of caffeine in Coffee Region per kg of coffee 68 73 78 Lake Victoria Lake Tanganyika Lake Malawi Cost per kg $11 $13 $15 Product BLEND Specifications 76 74 Amount Caffeine (grams) per Tanganyika kg Blend Needed Minimum Maximum Minimum Dawn X kg 73 Sunset Ykg 71 Weekly Availability 20 kg 10kg 15 kg 25% 35% Malawi Minimum Maximum 20% 40% 15% 28% The ABC assembly plant provides coffee blends in the morning and late afternoon for its employees. In a typical week it uses X kg of Dawn Blend and Y kg of Sunset Blend. One set of constraints specify the minimum and maximum caffeine content for each blend. There are also Blend flavor constraints that are captured by using different amounts of each of three brands in the Dawn and Sunset Blends. The Dawn blend must contain at least 25% Tanganyika coffee and Sunset must contain at least 35% Tanganyika Coffee. In addition, the Dawn blend must contain at least 20% and at most 40% of Malawi coffee. Similarly, the Sunset blend must contain at least 15% and at most 28% of Malawi coffee. There are no requirements to use Victoria coffee but it is the cheapest. Management would like to minimize the cost of the coffee blends provided. It has to decide how much of each of the three brands of coffee to buy. They also must decide how much of each of the three coffees to use in the two blends Dawn and Sunset. a) Carefully define the decision variables including the units of measurement.

kg of dawg produced weekly - 21

kg of sunset produced weekly - 19

4. African Lakes Coffee African Lakes Coffee shops by their coffee beans from hill country around Lake Victoria, Lake Tanganyika and Lake Malawi. The caffeine content, cost per kg and the weekly available supply the different regions are given in the Table below. Product BLEND Specifications The ABC assembly plant provides coffee blends in the morning and late afternoon for its employees. In a typical week it uses X kg of Dawn Blend and Y kg of Sunset Blend. One set of constraints specify the minimum and maximum caffeine content for each blend. There are also Blend flavor constraints that are captured by using different amounts of each of three brands in the Dawn and Sunset Blends. The Dawn blend must contain at least 25% Tanganyika coffee and Sunset must contain at least 35% Tanganyika Coffee. In addition, the Dawn blend must contain at least 20% and at most 40% of Malawi coffee. Similarly, the Sunset blend must contain at least 15% and at most 28% of Malawi coffee. There are no requirements to use Victoria coffee but it is the cheapest. Management would like to minimize the cost of the coffee blends provided. It has to decide how much of each of the three brands of coffee to buy. They also must decide how much of each of the three coffees to use in the two blends Dawn and Sunset. a) Carefully define the decision variables including the units of measurement