a. How many of each pill should he buy in order to minimize his​ cost? What is the minimum​ cost?   He should buy 22 of pill 1 and 11 of pill 2. The minimum cost is $11. ​(Simplify your answers. Type integers or​ decimals.)   b. For the solution in part​ a, the patient is receiving more than he needs of at least one vitamin. Identify that​ vitamin, and tell how much surplus he is receiving.   He is receiving:   ___ IU of vitamin​ A, : ___mg of vitamin B1​, and ___mg of vitamin C more than he needs. ​(Simplify your​ answers.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Topic Video
Question
A patient takes vitamin pills. Each day he must have at least
300 IU of vitamin​ A, 3 mg of vitamin B1​, and 60 mg of vitamin C. He can choose between pill​ 1, which contains 180 IU of vitamin​ A, 1 mg of vitamin B1​, and 10 mg of vitamin​ C, and pill​ 2, which contains 60
IU of vitamin​ A, 1 mg of vitamin B1​, and 40 mg of vitamin C. Pill 1 costs 25¢​, and pill 2 costs 50¢.
Complete parts a and b below.
 
a. How many of each pill should he buy in order to minimize his​ cost? What is the minimum​ cost?
 
He should buy 22 of pill 1 and 11 of pill 2. The minimum cost is $11.
​(Simplify your answers. Type integers or​ decimals.)
 
b. For the solution in part​ a, the patient is receiving more than he needs of at least one vitamin. Identify that​ vitamin, and tell how much surplus he is receiving.
 
He is receiving:   ___ IU of vitamin​ A, : ___mg of vitamin B1​,
and ___mg of vitamin C more than he needs.
​(Simplify your​ answers.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Optimization
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
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…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,