IX. Solve using linear programming. 20. Everyday Laura Miller needs a dietary supplement of 4 mg of vitamin A, 11 mg of vitamin B, and 100 mg of vitamin C. Either of two brands of vitamin pills can be used: Brand X at 3¢ a pill or Brand Y at 9¢ a pill. The chart below shows that a Brand X pill supplies 2 mg of vitamin A, 3 mg of vitamin B, and 25 mg of vitamin C. Likewise, a Brand Y pill supplies 1, 4, and 50 mg of vitamins A, B, and C, respectively. How many pills of each brand should she take each day in order to satisfy the minimum daily need most economically? Brand X Brand Y Minimum Daily Need Vitamin A 2 mg I mg 4 mg 3 mg 25 mg 3: 11 mg 100 mg Vitamin B 4 mg Vitamin C 50 mg Cost per pil 8 7 4 3 1 0 1 2 3 6 7 9
IX. Solve using linear programming. 20. Everyday Laura Miller needs a dietary supplement of 4 mg of vitamin A, 11 mg of vitamin B, and 100 mg of vitamin C. Either of two brands of vitamin pills can be used: Brand X at 3¢ a pill or Brand Y at 9¢ a pill. The chart below shows that a Brand X pill supplies 2 mg of vitamin A, 3 mg of vitamin B, and 25 mg of vitamin C. Likewise, a Brand Y pill supplies 1, 4, and 50 mg of vitamins A, B, and C, respectively. How many pills of each brand should she take each day in order to satisfy the minimum daily need most economically? Brand X Brand Y Minimum Daily Need Vitamin A 2 mg I mg 4 mg 3 mg 25 mg 3: 11 mg 100 mg Vitamin B 4 mg Vitamin C 50 mg Cost per pil 8 7 4 3 1 0 1 2 3 6 7 9
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:IX. Solve using linear programming.
20. Everyday Laura Miller needs a dietary supplement of 4 mg of vitamin A, 11 mg of vitamin
B, and 100 mg of vitamin C. Either of two brands of vitamin pills can be used: Brand X at
3¢ a pill or Brand Y at 9¢ a pill. The chart below shows that a Brand X pill supplies 2 mg of
vitamin A, 3 mg of vitamin B, and 25 mg of vitamin C. Likewise, a Brand Y pill supplies 1, 4,
and 50 mg of vitamins A, B, and C, respectively. How many pills of each brand should she
take each day in order to satisfy the minimum daily need most economically?
Brand Y
Minimum
Daily Need
Brand X
Vitamin A
2 mg
I mg
4 mg
Vitamin B
3 mg
4 mg
11 mg
25 mg
3:
Vitamin C
50 mg
100 mg
Cost per pil
8
7
4
3
1
0 1
2
3
5
6
7 9
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