Karen is the head buyer of Coca-cola and she wants to determine the supply mix that will result on minimum cost.She is able to determine the data necessary for to make decision.A kilogram of Equal sweetener can produce 4 Liters of Coke Lite,6 Liters of Sprite Lite, and 10 liters of coke zero.A kilogram of Nutra sweetener can produce 12 liters of coke Lite,8 liters of Sprite Lite, and 5 liters of Coke Zero.Karen must produce at least 96 liters of Coke Lite,96 Liters of Sprite Lite, and 100 Liters of Coke Zero per day.Equal sweetener costs $27 per kilogram while Nutra sweetener cost $30 per kilogram.The figures are summarized in Table 8.16
*Table 8.16
PRODUCT/SUPPLIER --LITER/KG --- SIGN --- LITERS/DAY
Equal-Nutra
COKE LITE 4 12 > or = to 96
Sprite Lite 6 8 > or = to 96
Coke Zero 10 5 > or = to 100
COST/KG ($) 27 30 = MIN
Question:How many kilograms of Equal sweetener and Nutra sweetener should she purchase per day to minimize costs? How much is the total cost? Karen wants to solve the problem using graphical method.