A dietician has to develop a special diet using two foods P and Q. Each packet (containing 30 g) of food P contains 12 units of calcium, 4 units of iron, 6 units of cholesterol and 6 units of vitamin A. Each packet of the same quantity of food Q contains 3 units of calcium, 20 units of iron, 4 units of cholesterol and 3 units of vitamin A. The diet requires atleast 240 units of calcium, atleast 460 units of iron and at most 300 units of cholesterol. How many packets of each food should be used to minimise the amount of vitamin A in the diet? What is the minimum amount of vitamin A? Question 4/Vraag 4 (4.1) Use the Simplex method to solve the following problem: Maximise P=7x1+5x2 Subject to: 2x1 + x2 100 -4x13x2-240 x1, x2 0. Question 5/Vraag 5 (5.1) Solve the following problem using the Big M method: Minimise P=6x1+8x2 Subject to: 5x110x260 4x1 + 4x2 ≥ 40 x1,x20.
A dietician has to develop a special diet using two foods P and Q. Each packet (containing 30 g) of food P contains 12 units of calcium, 4 units of iron, 6 units of cholesterol and 6 units of vitamin A. Each packet of the same quantity of food Q contains 3 units of calcium, 20 units of iron, 4 units of cholesterol and 3 units of vitamin A. The diet requires atleast 240 units of calcium, atleast 460 units of iron and at most 300 units of cholesterol. How many packets of each food should be used to minimise the amount of vitamin A in the diet? What is the minimum amount of vitamin A? Question 4/Vraag 4 (4.1) Use the Simplex method to solve the following problem: Maximise P=7x1+5x2 Subject to: 2x1 + x2 100 -4x13x2-240 x1, x2 0. Question 5/Vraag 5 (5.1) Solve the following problem using the Big M method: Minimise P=6x1+8x2 Subject to: 5x110x260 4x1 + 4x2 ≥ 40 x1,x20.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Transcribed Image Text:A dietician has to develop a special diet using two foods P and Q. Each packet (containing 30 g) of food P
contains 12 units of calcium, 4 units of iron, 6 units of cholesterol and 6 units of vitamin A. Each packet of the
same quantity of food Q contains 3 units of calcium, 20 units of iron, 4 units of cholesterol and 3 units of vitamin
A. The diet requires atleast 240 units of calcium, atleast 460 units of iron and at most 300 units of cholesterol.
How many packets of each food should be used to minimise the amount of vitamin A in the diet? What is the
minimum amount of vitamin A?
Transcribed Image Text:Question 4/Vraag 4
(4.1) Use the Simplex method to solve the following problem:
Maximise P=7x1+5x2
Subject to:
2x1 + x2 100
-4x13x2-240
x1, x2 0.
Question 5/Vraag 5
(5.1) Solve the following problem using the Big M method:
Minimise P=6x1+8x2
Subject to:
5x110x260
4x1 + 4x2 ≥ 40
x1,x20.
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