3. Healthy Choice (10 points) A school dietitian wants to determine the best ble
ID: 3304113 • Letter: 3
Question
3. Healthy Choice (10 points) A school dietitian wants to determine the best blend of meats to use in an order of 500 pounds of ground meat for hamburgers to be used for lunch at a local school. Three types of meat can be used in the blend with each having the following characteristics: Meat 1 $0.75 1 5% 70% 12% 3% Meat 2 Cost per pound % Fat % Protein % Water % Filler S0.87 10% 75% 10% Meat 3 $0.98 4% 80% 8% 5% .... 790 The dietitian has 3 objectives for the blend: to minimize $ cost, to minimize % fat content, and to maximize % protein. She is considering the following two choices: Alternative 1 - to purchase 500 pounds of Meat 2 Alternative 2- to blend 250 pounds of at 1 with 250 pounds of Meat 3 (a) Construct a Decision table for the 2 alternatives. (Handwrite answer, 5 points) (b) Which of these two alternative would you recommend? Why? (Handwrite answer, 5 points)Explanation / Answer
Alternative 1:
Cost of 500 pounds of Meat 2 = $0.87 X 500 = $ 435
Fat quantity = 10 % X 500 = 50 pounds
Protein quantity = 75% X 500 = 375 pound
Alternative 2 :
cost of 250 pounds of Meat 1 + 250 punds of Meat 3 = 0.75 X 250 + 0.98 X 250 = 187.5 + 245 = 432.5
Fat quantity in the blend = 15% X 250 + 4% X 250 = 47.5 pounds
Protein quantity in the blend = 70% X 250 + 80% X 250 = 375 pounds
(a) The two alternatives are summarised in the Decision Table below:
Alternative 1 Alternative 2
Cost $ 435 432.5
Fat in Pounds 50 47.5
Protein in Pounds 375 375
(b) Both the alternatives result in buying the same quantity of meat, 500 kg. Hence, Considering the 3 objectives of minimising cost, minimising fat % and maximising protein %, alternatve 2 is better. since it results in same quantity of protein, but lesser fat quantity and also lesser $ cost.
Hence Alternative 2 is recommended.
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