In the ice cream manufacturing process, you must carefully weigh and measure the ingredients before starting to mix. You must carefully identify the amount of each ingredient you use to formulate ice cream mix due to:
Here's a video of mix formation.
Video by Jeff Brackenbury
To ensure that you end up with the right formulation of the mix, you can adopt any of these methods:
We will use a problem to demonstrate how to formulate an ice cream formula using one of the listed methods.
Algebraic equations method to formulate ice cream mix
Formulate a 10,000 kg ice cream mix with 12% butterfat, 10% MSNF, 14% cane sugar, 0.2% gelatin, 0.2% glycerol monostearate, and 0.3% flavor/color combination.
Now, assuming x-cream, y-whole milk powder, and z-skim milk powder,
The total mix equation (i) becomes:
x+y+z+14+0.2+0.2+0.3=100 ===> x+y+z=85.3
Butterfat equation (ii) becomes:
(38.5/100)x+(3.5/100)y=12 ===> 0.385x+0.035y=12
MSNF equation (iii) becomes:
0.055x + 0.085y + 0.96z = 10
Eliminate z by multiplying equation (i) by 0.96
0.96x + 0.96y + 0.96z = 81.888……….(iv)
Equate equation (iv) with equation (iii)
{0.96x + 0.96y + 0.96z = 81.888} - {0.055x + 0.085y + 0.96z = 10} = {0.905x + 0.875y = 71.888}
Make x the subject of the formula
0.905x = 71.888 - 0.875y ===> x = 79.4343 - 0.9669y
Now substitute x in equation (ii)
Equation (ii) is 0.385x + 0.035y = 12
Substituting x gives:
0.385(79.4343 - 0.9669y) + 0.035y = 12 ===> 30.547 - 0.3723y + 0.035y = 12
18.547 = 0.3373y ===> y = 54.987kg
Substitute the value of y in equation (ii)
Equation (ii) is 0.385x+0.035y=12
Substituting y gives
0.385x+0.035(54.987) = 12
0.385x = 10.075 ===> x = 26.17kg
Substitute the values of x and y in equation (i) to get the value of z
Equation (i) is x+y+z=85.3
26.17+54.987+z=85.3 ===> z=85.3-81157 ===> z=4.143kg
To get the amounts of each ingredient used to make the 10,000 mix
X=26.17*100=2617kg of cream
Y=54.987*100=5498.7kg of whole milk
Z=4.143*100=414.3kgof skim milk powder
Total amount of ice cream mix = 1400+30+20+20+414.3+5498.7+2617 = 10,000kg
With 80% overrun, the final quantity of the ice cream becomes 10,000*1.8 = 18,000kg.
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