Question 2: The chef has prepared a menu and asked you to purchase the food for
ID: 3109012 • Letter: Q
Question
Question 2: The chef has prepared a menu and asked you to purchase the food for him. You are feeding 1000 people and minimizing cost is important. You must decide how much of each item to purchase ensuring that the minimum nutritional requirements are met. The below table shows the foods, cost and nutritional values.
Oatmeal
Chicken
Carrots
Spinach
Bread
Or. Juice
Costs
$/100 g
$0.75
$0.65
$0.07
$0.14
$0.42
$0.58
Calories
cal/100 g
375
88
28
24
263
50
Fiber
g/100 g
10
0
2.4
2.4
1.8
0
Protein
g/100 g
12.5
14.04
0
2.35
7
0.5
Vitamin C
mg/100 g
0
2.1
2.9
28.2
0
72
The constraining requirements are:
Minimum per person requirements
Calories
2200
cal
Fiber
25
g
Protein
110
g
Vitamin C
90
mg
Oatmeal
50
g
Chicken
50
g
Carrots
50
g
Spinach
50
g
Bread
50
g
Or. Juice
50
g
Oatmeal
Chicken
Carrots
Spinach
Bread
Or. Juice
Costs
$/100 g
$0.75
$0.65
$0.07
$0.14
$0.42
$0.58
Calories
cal/100 g
375
88
28
24
263
50
Fiber
g/100 g
10
0
2.4
2.4
1.8
0
Protein
g/100 g
12.5
14.04
0
2.35
7
0.5
Vitamin C
mg/100 g
0
2.1
2.9
28.2
0
72
Explanation / Answer
The most apt food requirment per person at low cost is provided below
hence per person lowest cost attained to ensure all nutritional benfits is 6.83$
Calories 2276.5cal cost Fiber 48.4g Protein 112.36 Vitamin C 214.95 Oatmeal 250g 1.875$ Chicken 350g 2.275$ Carrots 300g .21$ Spinach 450g .63$ Bread 300g 1.26$ Or. Juice 100g .58$ total 6.83$Related Questions
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