Research has shown that when serving a breakfast buffet…
-20% of guests will chose 3 smaller sausages at 30g rather than 2 sausages at 56.8g.
-47% will choose 2x 30g sausages rather than 2 sausages at 56.8.
In sausage terms a 30g is a “15”, a 56.8g is an “8”.
So, breaking this down what does this mean on 100 breakfasts?
Weight of Sausages:
A smaller sausage weighs 30 grams.
A larger sausage weighs 56.8 grams.
Guest Choices:
20% of guests choose 3 smaller sausages instead of 2 larger sausages.
47% of guests choose 2 smaller sausages instead of 2 larger sausages.
Calculations:
For the 20% who choose 3 smaller sausages:
Weight of 2 larger sausages: 2×56.8=113.62×56.8=113.6 grams.
Weight of 3 smaller sausages: 3×30=903×30=90 grams.
Weight saved per guest: 113.6−90=23.6113.6−90=23.6 grams.
For the 47% who choose 2 smaller sausages:
Weight of 2 larger sausages: 2×56.8=113.62×56.8=113.6 grams.
Weight of 2 smaller sausages: 2×30=602×30=60 grams.
Weight saved per guest: 113.6−60=53.6113.6−60=53.6 grams.
Total Weight Saved for 100 Breakfasts:
20% of 100 guests: 0.20×100=200.20×100=20 guests.
47% of 100 guests: 0.47×100=470.47×100=47 guests.
Total weight saved by 20 guests: 20×23.6=47220×23.6=472 grams.
Total weight saved by 47 guests: 47×53.6=2519.247×53.6=2519.2 grams.
Total weight saved for 100 breakfasts: 472+2519.2=2991.2472+2519.2=2991.2 grams.
So, for every 100 breakfasts served, the total weight saved is 2991.2 grams.
To calculate the percentage saving in weight, we need to compare the total weight saved to the total original weight for every 100 breakfasts served.
Total Original Weight:
For the 20% who choose 3 smaller sausages:
Weight of 2 larger sausages: 2×56.8=113.62×56.8=113.6 grams.
Total weight for 20 guests: 20×113.6=227220×113.6=2272 grams.
For the 47% who choose 2 smaller sausages:
Weight of 2 larger sausages: 2×56.8=113.62×56.8=113.6 grams.
Total weight for 47 guests: 47×113.6=5339.247×113.6=5339.2 grams.
Total original weight for 100 breakfasts: 2272+5339.2=7611.22272+5339.2=7611.2 grams.
Total Weight Saved:
As calculated earlier, the total weight saved for 100 breakfasts is 2991.2 grams.
Percentage Saving:
Percentage saving in weight: (2991.27611.2)×100≈39.30%(7611.22991.2)×100≈39.30%.
So, the percentage saving in weight for every 100 breakfasts served is 39.30%.
Conclusion
Assuming a professional chef serves 100 breakfasts and has chosen a 56.8g sausage costing £5/kg. He spends £11.36 on sausages
By changing to 30g sausage, he can either improve the sausage quality, save £4.46, or reduce menu price whilst maintaining margin