348 



MANUAL OF MILK PRODUCTS 



Calculating the rate of payment on the fat basis in a cooperative 

 cheese factory. 



Milk is often bought for cheese-making on a fat basis, and the patrons 

 are paid according to the amount for which the cheese sells. The rate 

 is obtained in the same way as in the case of a butter factory. 



Problem 5 



In order to illustrate the method of paying for milk on a fat basis at 

 a cheese factory, take the weights of milk and the fat tests given in the 

 following table : 



Patron 



Number 



Pounds of 

 Milk 



Test (Per- 

 centage) 



Pounds op 



Fat 



1 



1,500 



1,000 



940 



860 

 3,500 

 1,400 



780 

 600 

 970 



775 



4.0 

 3.9 

 4.2 

 3.8 

 5.0 

 4.5 

 4.7 

 4.6 

 4.3 

 3.9 



60.00 



2 



39.00 



3 



39.48 



4 



32.68 



5 



175.00 



6 



63.00 



7 



36.66 



8 



27.60 



9 



41.71 



10 



30.22 



Total 



545.35 



Find the rate and the amount of money due each patron. 



There were delivered 545.35 lb. of fat, and considering a yield of 2.68 

 lb. of cheese for every pound of fat (a common estimate) there would be 

 1461.538 lb. of cheese (545.35 X 2.68 = 1461.538). If this cheese sold 

 at 15 cents. a lb., it would bring $219.23 ($.15 X 1461.538 = $219.23). 

 A common price charged by cheese-makers for manufacturing is $1.35 

 per cwt. of cheese. It would therefore cost $19.73 to make the cheese 

 ($1.35 x 14.6153 = $19.73), and this would leave $199.50 to pay the 

 patrons for their fat. Since there would be $199.50 to pay patrons and 

 545.35 lb. of fat, each lb. of fat would be worth as much as 545.35 is 

 contained in $199.50, which is $.36582. Answer, 



