33. Set up but do not solve the following problem: A diet is to containat least 400 units of vitamins, 500 units of minerals, and 1400 calories.Two foods are available: F1, which costs $0.05 per unit, and F2, whichcosts $0.03 per unit. A unit of food F1 contains 2 units of vitamins, 1 unitof minerals, and 4 calories; a unit of food F, contains 1 unit of vitamins,2 units of minerals, and 4 calories. Find the minimum cost for a dietthat consists of a mixture of these two foods and also meets the minimumrequirements.

Question
Asked Dec 11, 2019
2 views
33. Set up but do not solve the following problem: A diet is to contain
at least 400 units of vitamins, 500 units of minerals, and 1400 calories.
Two foods are available: F1, which costs $0.05 per unit, and F2, which
costs $0.03 per unit. A unit of food F1 contains 2 units of vitamins, 1 unit
of minerals, and 4 calories; a unit of food F, contains 1 unit of vitamins,
2 units of minerals, and 4 calories. Find the minimum cost for a diet
that consists of a mixture of these two foods and also meets the minimum
requirements.
help_outline

Image Transcriptionclose

33. Set up but do not solve the following problem: A diet is to contain at least 400 units of vitamins, 500 units of minerals, and 1400 calories. Two foods are available: F1, which costs $0.05 per unit, and F2, which costs $0.03 per unit. A unit of food F1 contains 2 units of vitamins, 1 unit of minerals, and 4 calories; a unit of food F, contains 1 unit of vitamins, 2 units of minerals, and 4 calories. Find the minimum cost for a diet that consists of a mixture of these two foods and also meets the minimum requirements.

fullscreen
check_circle

Expert Answer

Step 1

Let, the amount of food F1  = x and the amount of food F2  = y

To minimize the co...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in