Desired: Make 2000 kg of mix testing 15% fat, 10.5% MSNF, 15% sucrose, 0.5% stabilizer, 1% egg yolk
From the following: 450 kgs. 30% cream; 300 kgs. skim milk; Get balance from butter @ 84% fat, milk @ 4% fat, skim milk powder, sucrose, stabilizer, and egg yolk.
Solution via the Serum Point Method:
1. Find skim milk powder needed.
Use formula:
(SNF needed - (serum of mix X .09)) / (% snf in powder - 9 ) X 100
Substituting we have:
(210 - (1370 X .09)) / (97 - 9) X 100 = 98.5 kg powder
2. Find sugar, stabilizer, and egg needed.
2000 X .15 = 300 kg sucrose
2000 X .005 = 10 kg stabilizer
2000 X .01 = 20 kg egg yolk
3. List the materials supplied so far:
Cream 450.00 kg
Skim Milk 300.00 kg
Skim Powder 98.50 kg
Sucrose 300.00 kg
Stabilizer 10.00 kg
Egg Yolk 20.00 kg
Total 1,178.50 kg
4. Find amount of butter and milk needed.
2000 - 1178.5 = 821.5 kg butter and milk required.
5. Find amount of fat that still has to be made up:
300 - 135 (Fat in 450 kg 30% cream) = 165 kg
6. Find amount of butter needed by following formula:
((kg fat needed - (kg cream and milk needed x (% fat in milk/100)))/(% fat in cream - % fat in milk)) x 100
Substituting we have:
(165 - (821.5 X .04)) / (84 - 4 ) X 100 = 165.17 kg butter
7. Find amount of milk needed.
821.5 - 165.17 = 656.33 kg milk
PROOF:
| Ingredient | Total wt. (kg) | Wt. of Fat (kg) | Wt. of SNF (kg) | Wt. of Total Solids (kg) |
|---|---|---|---|---|
| Cream | 450.00 | 135.00 | 28.35 | 163.35 |
| Milk | 656.33 | 26.25 | 56.71 | 82.96 |
| Butter | 165.17 | 138.74 | 2.37 | 140.39 |
| Skim Milk | 300.00 | -- | 27.00 | 27.00 |
| Skim milk powder | 98.50 | -- | 95.55 | 95.55 |
| Sucrose | 300.00 | -- | -- | 300.00 |
| Stabilizer | 10.00 | -- | -- | 10.00 |
| Egg Yolk | 20.00 | -- | -- | 10.00 |
| Totals | 2000.00 | 300.00 | 210.00 | 829.25 |
Note: 300/2000 = 15% fat; 210/2000 = 10.5% SNF; 829.25/2000 = 41.46% Total solids (= 15% fat + 10.5% snf + 15% sucrose + 0.5% stab + 0.5% egg yolk solids (half of the egg yolk))