Ice cream is
composed of a mixture of both dairy and non-dairy food ingredients such as milk
products, sweetening agents, stabilizers, emulsifiers, flavours and colouring
materials. As already seen earlier, wide variety of ingredients could be used
to produce ice cream mix. The effect of these ingredients upon the finished product
is due to the constituents of the ingredients.
An ice cream mix is
the unfrozen blend of the different ice cream ingredients. It consists of all
the ingredients of ice cream with the exception of flavour material and air.
Flavour is added only at the time of freezing and air is incorporated into the
mix during freezing. The composition of ice cream is usually expressed as
percentage of its constituents. A satisfactory composition produces an ice
cream having desired flavour body and texture characteristics. An ice cream mix
with such a satisfactory composition is called a “Balanced mix”. Thus a
balanced ice cream mix is one in which the proportions of the constituents and
ingredients are such that they combine to produce an ice cream of satisfactory
quality.
i) Calculation
of Mix-Ingredients: To prepare ice cream mix various ingredients are mixed.
It is necessary to know how much of each ingredient should be added to produce
a balanced mix. Addition of exactly calculated amount of ingredients will help
to produce ice cream of uniform quality. This will also ensure ice cream
produced meets the legal standards prescribed for ice cream.Knowledge of
calculation, therefore, is helpful in properly balancing the ice cream mix.
Algebraic method is
one method for calculating the amount of ingredients required for ice cream
preparation.
The final
composition desired in ice cream is decided first. Suppose ice cream with the
following composition is to be prepared:
Fat
|
12.0%
|
SNF
|
– 11.0%
|
Sugar
|
– 15.0%
|
Stabilizer & Emulsifier
|
v 0.5%
|
Total
|
= 38.5%
|
The ingredients available are:
Milk
|
3.5% fat; 8.5% SNF
|
Cream
|
– 40.0% fat; 5.28 SNF
|
Skim milk powder
|
– 1.0% fat; 96.0% SNF
|
Sugar,
Stabilizer + Emulsifier
|
–
It is assumed that sugar, stabilizer
and emulsifier contribute 100% solids.
|
It is convenient to
calculate the required amount of ingredients for preparing 100 kg of ice cream
mix.
ii) Calculation
for 100 kg Ice cream mix: Since sugar and stabilizer + emulsifier in the
mix are 15.0% and 0.5% respectively, the ice cream mix will have 15.0 Kg sugar
and 0.5 Kg stabilizer + emulsifier. It means that out of 100.0 Kg of mix, 15.5
Kg comes from the mixture. The balance of (100 –15.5) kg== 84.5 Kg comes from
the mixture of milk, cream and skim -milk powder.
Assume A Kg milk, B
Kg cream and C Kg skim-milk powder are used.The values for A, B and C could be
calculated by forming algebraic equation and solving the equation.
In 100 Kg ice cream mix the following
will be there:
Milk
|
– A Kg
|
Cream
|
– B Kg
|
Skim milk powder
|
– C Kg
|
Sugar
|
– 15.0 Kg
|
Stabilizer + emulsifier
|
– 0.5 Kg
|
Total
|
= 100 Kg
|
A + B + C + 15.0 + 0.5 = 100.0
or A + B C = 100.0 – (15.0 + 0.5)
or A + B C = 84.5 — Equation (1)
In 100 Kg of mix 12
Kg milk fat (12%) is present. This amount comes from A Kg milk, B Kg cream and
C Kg skim milk powder. Since the fat percent in each ingredient is known an
equation for fat can be made.
(3.5)/100 *A +(40)/(100)*B+(1.0)/(100)*C
=12
Or 3.5 × A + 40.0 × B + 1.0 × C = 1200 Equation
(2)
Similarly equation for SNF content is
formed:
(8.5)/(100)*A+(5.28)/(100)*B+(96.0)/(100)*C
=11
8.5 5.28 96.0
or 8.5 × A + 5.28 ×
B + 96.0 × C = 1100 Equation (3)
To eliminate one
known value (Say A) multiply the equation (1) by 3.5
i.e. 3.5 (A + B +
C) = 84.5 × 3.5
or 3.5 × A + 3.5 × B + 3.5 × C = 84.5 × 3.5 =
295.75
Subtract this
equation from equation (2)
3.5 × A + 40.0 × B
+ 1.0 × C = 1200.00
3.5 × A + 3.5 × B +
3.5 × C = 295.75
36.5 × B – 2.5 × C
= 904.25 Equation (4)
Similarly to
eliminate A from equation (3) multiply equation (1) by 8.5 and subtract from
equation (3).
8.5 (A+B+C) = 84.5
x 8.5
or 8.5 x A + 8.5x B
+ 8.5 x C = 84.5 x 8.5 = 718.25
8.5 A + 5.28 x B +
96.0 x C = 1100
8.5 A + 8.50 x B +
8.5 x C = 718.25
3.22 × B + 87.5 × C
= 318.75 Equation (5)
To eliminate B,
multiply equation (4) by 3.22 and equation (5) by 36.5
3.22(35.5 × B – 2.5 × C) =
3.22 × 904.25(Equation 4)
36.5(-3.22 × B -
87.5 × C) = 35.5 × 318.75(Equation 5)
or 3.22 × 35.5 × B –
8.05 × C = 2911.685 —- Equation (6)
36.5 × 3.22 × B +
3193.75 C = 13933.875 —- (Equation (7)
3185.70 C =
16845.56
∴ 3185.70 C = 16845.56
C = 16845.56
————— =
5.28
3185.70
Quantity of skim milk powder required
= 5.28
Substitute the
value of C (= 5.28) in equation (4)
∴ 36.5
x B – 2.5 x 5.28 = 904.25
or 36.5 x B – 13.20
= 904.25
or 36.5 x B =
904.25 + 13.20
36.5 x B = 917.45
or B = 917.45
———— =
25.13
36.5
Quantity of Cream required
= 25.13 Kg
Substitute the
value of C (=5.28) & B (=25.13) in equation (1)
A + 25.13 + 5.28 = 84.5
or A = 84.5 –
(25.13 + 5.28)
= 54.09
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