It takes 12 units of carbohydrates and 6 units of protein to satisfy Jacob's minimum weekly requirements. The meat contains 2 units of carbohydrates and 2 units of protein per pound. The cheese contains 3 units of carbohydrates and 1 unit of protein per pound. The meat costs $3.40 per pound and the cheese costs $4.50 per pound. How many pounds of each are needed to fulfill the minimum requirements at minimum cost? What is Jacob's minimum cost? pound(s) of cheese. He should buy pound(s) of meat and (Round your answer to the nearest tenth.) The minimum cost is $. (Round to the nearest cent as needed.) CIT
It takes 12 units of carbohydrates and 6 units of protein to satisfy Jacob's minimum weekly requirements. The meat contains 2 units of carbohydrates and 2 units of protein per pound. The cheese contains 3 units of carbohydrates and 1 unit of protein per pound. The meat costs $3.40 per pound and the cheese costs $4.50 per pound. How many pounds of each are needed to fulfill the minimum requirements at minimum cost? What is Jacob's minimum cost? pound(s) of cheese. He should buy pound(s) of meat and (Round your answer to the nearest tenth.) The minimum cost is $. (Round to the nearest cent as needed.) CIT
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![**Nutrition and Cost Optimization Problem**
To satisfy Jacob's minimum weekly nutritional requirements, he needs 12 units of carbohydrates and 6 units of protein. The available food options are meat and cheese with the following nutritional values and costs:
- **Meat:**
- 2 units of carbohydrates per pound
- 2 units of protein per pound
- Costs $3.40 per pound
- **Cheese:**
- 3 units of carbohydrates per pound
- 1 unit of protein per pound
- Costs $4.50 per pound
**Objective:**
Determine the number of pounds of meat and cheese Jacob should buy to meet his nutritional needs at the minimum cost. Additionally, calculate the minimum total cost.
**Solution Outline:**
- Calculate the pounds of meat and cheese needed.
- Ensure that these choices meet the nutritional requirements.
- Calculate the total cost and identify the minimum.
**Answer Section:**
He should buy [ ] pound(s) of meat and [ ] pound(s) of cheese.
*(Round your answer to the nearest tenth.)*
The minimum cost is $[ ]. *(Round to the nearest cent as needed.)*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F56289daf-944e-4934-ac7e-546f2acb04ad%2Fb75e5090-4a42-4aec-8111-d9c7a6a30f0f%2Fwibop6i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Nutrition and Cost Optimization Problem**
To satisfy Jacob's minimum weekly nutritional requirements, he needs 12 units of carbohydrates and 6 units of protein. The available food options are meat and cheese with the following nutritional values and costs:
- **Meat:**
- 2 units of carbohydrates per pound
- 2 units of protein per pound
- Costs $3.40 per pound
- **Cheese:**
- 3 units of carbohydrates per pound
- 1 unit of protein per pound
- Costs $4.50 per pound
**Objective:**
Determine the number of pounds of meat and cheese Jacob should buy to meet his nutritional needs at the minimum cost. Additionally, calculate the minimum total cost.
**Solution Outline:**
- Calculate the pounds of meat and cheese needed.
- Ensure that these choices meet the nutritional requirements.
- Calculate the total cost and identify the minimum.
**Answer Section:**
He should buy [ ] pound(s) of meat and [ ] pound(s) of cheese.
*(Round your answer to the nearest tenth.)*
The minimum cost is $[ ]. *(Round to the nearest cent as needed.)*
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
