15^6 



The Cornell Reading-Courses 



Problem jo: 



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

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

 in the foregoing table. Find the rate and the amount of money due each 

 patron. 



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

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

 1,461.538 lbs. of cheese (545-35 X 2.68 = 1,461.538). If this cheese sold 

 at 15 cents per pound it would bring $219.23 ($.15 X 1,461.538 = $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$i99.5oto pay patrons and 5 4 5 . 3 5 

 lbs. of fat, each pound of fat would be worth as much as 545.35 is contained 

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



The following table shows the amount of money due each patron for 

 his fat: 



Patron 

 no. 



1 . 



2 . 



3- 

 4' 



5- 

 6. 



7- 

 8. 



9' 

 10. 



CALCULATING THE RATE ON A FAT-PLUS-2 BASIS IN A COOPERATIVE CHEESE 



FACTORY 



This method of paying for the milk is used in many cheese factories 

 because it is believed to approximate more closely the cheese yield than 

 does the use of the fat alone. When this is done the method of finding 

 the rate is precisely the same as when finding the rate on the fat basis, 

 except that 2 is added to the percentage of fat in each patron's milk. 



Problem ji: 



Compute the rate and the amount of payment due each patron by the 

 fat-plus- 2 method, using the same weights and tests of milk that are 

 given in problem 29. 



