A nutritionist at the Medical Center has been asked to prepare a special diet for certain patients. He has decided that the meals should contain a minimum of 700 mg of calcium, 16 mg of iron, and 56 mg of vitamin C. He has further decided that the meals are to be prepared from foods A and B. Each ounce of food A contains 40 mg of calcium, 1 mg of iron, 2 mg of vitamin C, and 2 mg of cholesterol. Each ounce of food B contains 35 mg of calcium, 0.5 mg of iron, 7 mg of vitamin C, and 7 mg of cholesterol.
Determine how many ounces of each type of food the nutritionist should use in a meal so that the cholesterol content is minimized and the minimum requirements of calcium, iron, and vitamin C are met.

A) The minimum content of cholesterol is 56 mg when the number of ounces of food A is taken between 14 and 28 and the number of ounces of food B can be get from the equation .
B) The minimum content of cholesterol is 56 mg when the number of ounces of food A is taken between 14 and 28 and the number of ounces of food B can be get from the equation .
C) The minimum content of cholesterol is 56 mg when the number of ounces of food A is 14 and the number of ounces of food B is 7.

Question

A nutritionist at the Medical Center has been asked to prepare a special diet for certain patients. He has decided that the meals should contain a minimum of 700 mg of calcium, 16 mg of iron, and 56 mg of vitamin C. He has further decided that the meals are to be prepared from foods A and B. Each ounce of food A contains 40 mg of calcium, 1 mg of iron, 2 mg of vitamin C, and 2 mg of cholesterol. Each ounce of food B contains 35 mg of calcium, 0.5 mg of iron, 7 mg of vitamin C, and 7 mg of cholesterol. ​
Determine how many ounces of each type of food the nutritionist should use in a meal so that the cholesterol content is minimized and the minimum requirements of calcium, iron, and vitamin C are met.
​
A) The minimum content of cholesterol is 56 mg when the number of ounces of food A is taken between 14 and 28 and the number of ounces of food B can be get from the equation . 
B) The minimum content of cholesterol is 56 mg when the number of ounces of food A is taken between 14 and 28 and the number of ounces of food B can be get from the equation . 
C) The minimum content of cholesterol is 56 mg when the number of ounces of food A is 14 and the number of ounces of food B is 7.

Quizplus · Accepted Answer

The Answer of A nutritionist at the Medical Center has been asked to prepare a special diet for certain patients. He has decided that the meals should contain a minimum of 700 mg of calcium, 16 mg of iron, and 56 mg of vitamin C. He has further decided that the meals are to be prepared from foods A and B. Each ounce of food A contains 40 mg of calcium, 1 mg of iron, 2 mg of vitamin C, and 2 mg of cholesterol. Each ounce of food B contains 35 mg of calcium, 0.5 mg of iron, 7 mg of vitamin C, and 7 mg of cholesterol. ​
Determine how many ounces of each type of food the nutritionist should use in a meal so that the cholesterol content is minimized and the minimum requirements of calcium, iron, and vitamin C are met.
​
A) The minimum content of cholesterol is 56 mg when the number of ounces of food A is taken between 14 and 28 and the number of ounces of food B can be get from the equation . 
B) The minimum content of cholesterol is 56 mg when the number of ounces of food A is taken between 14 and 28 and the number of ounces of food B can be get from the equation . 
C) The minimum content of cholesterol is 56 mg when the number of ounces of food A is 14 and the number of ounces of food B is 7.

A Nutritionist at the Medical Center Has Been Asked to Prepare