vitomin B w te n pe e Solution : O let x Ounce of food P. y = Ounces of food Q. This is decision variable. 6 Problem constraints. 2x + ly > 1G y colcium 3x +3y > 36 - Iron. 4以+ 8y > 56 6x + 8y Cost per ous ce. © objective funetion for problem ATin Z: 6x t By. where 6X : cost of food P per ounce By : cost of food Q per ounce

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solutions for A,B,C given. 

vitamin B w e n per
Solution : © let x
Ounce of food P.
y = Ounces of food Q.
This is decision variable.
6 Problem constraints.
2x + ly > 1G
y colcium
3x + 3y 36
- Iron.
4x + 8y > 56
6x + 8y
Cast per ous ce.
© objective funetron for problem.
where 6X : cost of food P per ounce
By : cost of food Q per ounce
ATin Z: 6x t By.
Transcribed Image Text:vitamin B w e n per Solution : © let x Ounce of food P. y = Ounces of food Q. This is decision variable. 6 Problem constraints. 2x + ly > 1G y colcium 3x + 3y 36 - Iron. 4x + 8y > 56 6x + 8y Cast per ous ce. © objective funetron for problem. where 6X : cost of food P per ounce By : cost of food Q per ounce ATin Z: 6x t By.
A dietitian is to arrange a special diet composed of two foods, P and Q. Each ounce of food
P contains 2 units of calcium, 3 units of iron and 4 units of vitamin B. Each ounce of food Q
contains 1 unit of calcium, 3 units of iron and 8 units of vitamin B. The minimum daily
requirements are 16 units of calcium, 36 units of iron and 56 units of vitamin B.
Food P costs $6 per ounce and food Q costs $8 per ounce.
(d) Graph the inequalities, indicating the feasible region with shading.
(e) How many ounces of each food should be used to meet the minimum daily requirements
at the least cost?
(f) What is the cost for this amount of food?
Transcribed Image Text:A dietitian is to arrange a special diet composed of two foods, P and Q. Each ounce of food P contains 2 units of calcium, 3 units of iron and 4 units of vitamin B. Each ounce of food Q contains 1 unit of calcium, 3 units of iron and 8 units of vitamin B. The minimum daily requirements are 16 units of calcium, 36 units of iron and 56 units of vitamin B. Food P costs $6 per ounce and food Q costs $8 per ounce. (d) Graph the inequalities, indicating the feasible region with shading. (e) How many ounces of each food should be used to meet the minimum daily requirements at the least cost? (f) What is the cost for this amount of food?
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