The Owner of the Health JuiceBar Wishes to Prepare a Low-Calorie

The owner of the Health JuiceBar wishes to prepare a low-calorie fruit juice with a high vitamin-A and -C content by blending orange juice and pink grapefruit juice. Each glass of the blended juice is to contain at least 1,260 International Units (IU) of vitamin A and 184 IU of vitamin C. One ounce of orange juice contains 70 IU of vitamin A, 18 IU of vitamin C, and 13 calories; each ounce of pink grapefruit juice contains 140 IU of vitamin A, 16 IU of vitamin C, and 12 calories. How many ounces of each juice should a glass of the blend contain if it is to meet the minimum vitamin requirements while containing a minimum number of calories?

A) 4 oz of orange juice;
6 oz of pink grapefruit juice;
168 calories
B) 7 oz of orange juice;
4 oz of pink grapefruit juice;
139 calories
C) 2 oz of orange juice;
6 oz of pink grapefruit juice;
132 calories
D) 2 oz of orange juice;
7 oz of pink grapefruit juice;
148 calories
E) 4 oz of orange juice;
7 oz of pink grapefruit juice;
136 calories