Set-up and solve the following linear programming problem. A dietician is preparing a special diet using two foods: Food X and Food Y. Each unit of Food X provides 1 gram of protein, 1 gram of fat, and 4 grams of carbohydrates, and it contains 25 calories. Each unit of Food Y provides 5 grams of protein, 1 gram of fat, and 2 grams of carbohydrates, and it contains 50 calories. Her goal is to use the two foods to prepare a meal providing at least 40 grams of protein, at least 16 grams of fat, and at least 48 grams of carbohydrates. Determine the number of units of each food she should use to meet her nutritional requirements and minimize the number of calories. What is the minimum number of calories? The number of units of Food X is Blank 1. Fill in the blank, read surrounding text. units. The number of units of Food Y is Blank 2. Fill in the blank, read surrounding text. units. The minimum number of calories is Blank 3. Fill in the blank, read surrounding text. calories
Set-up and solve the following linear programming problem.
A dietician is preparing a special diet using two foods: Food X and Food Y.
Each unit of Food X provides 1 gram of protein, 1 gram of fat, and 4 grams of carbohydrates, and it contains 25 calories.
Each unit of Food Y provides 5 grams of protein, 1 gram of fat, and 2 grams of carbohydrates, and it contains 50 calories.
Her goal is to use the two foods to prepare a meal providing at least 40 grams of protein, at least 16 grams of fat, and at least 48 grams of carbohydrates. Determine the number of units of each food she should use to meet her nutritional requirements and minimize the number of calories. What is the minimum number of calories?
The number of units of Food X is Blank 1. Fill in the blank, read surrounding text. units.
The number of units of Food Y is Blank 2. Fill in the blank, read surrounding text. units.
The minimum number of calories is Blank 3. Fill in the blank, read surrounding text. calories.
Step by step
Solved in 2 steps with 2 images
