BUTTER-MAKING 285 



Therefore, in (a) the cost of manufacture is not considered ; also it 

 should be noted that the overrun is the only source of profit so long 

 as the same price is paid for the raw product as is received for the 

 finished one. 



PROBLEM 4 



(a) How many pounds of cream testing 35 per cent fat must a 

 hauler gather per day to pay his daily wages of $3, considering that 

 the same price (25 cents) is paid for the fat that is received for the 

 butter, that the overrun is 18 per cent, and not considering the cost 

 of manufacture ? 



(6) How many pounds of cream testing 35 per cent fat must a 

 hauler gather per day to pay his daily wages of $3, considering that 

 the same price (25 cents) is paid for the fat that is received for the 

 butter, that the overrun is 18 per cent, and that the cost of manufac- 

 ture is 3 cents per pound of butter ? 



(a) 1 Ib. (of cream) X .35 = .35 lb., amount of fat 



.35 X .18 (overrun) = .063, number of pounds overrun 



$.25 X .063 = $.01575, value of overrun per pound of 35 per 



cent cream 



$3 (wages) -=- $.01575 = 190.47, number of pounds of cream 

 necessary for the hauler to gather in order to pay expenses, 

 as per (a). Answer. 



PROOF 



190.47 X .35 = 66.6645, number of pounds fat 



66.6645 X .18 (overrun) = 11.9996, number of pounds overrun 



$.25 X 11.9996 = $2.9999, wages per day 



(6) 1 lb. (of cream) x .35 = .35 lb., amount of fat 



.35 X .18 (overrun) = .063, number of pounds overrun 



.35 + .063 = .413, number of pounds butter to 1 lb. cream 



$.25 X .35 = $.0875, cost of 1 lb. cream 



$.03 X .413 = $.01239, cost to manufacture butter from 1 lb. 



of cream 

 $.0875 + $.01239 = $.09989, total cost of butter in 1 lb. of 



cream 



$.25 X .413 = $.10325, receipts of butter from 1 lb. of cream 

 $.10325 - $.09989 = $.00336, profit on 1 lb. cream 

 $3 (wages) -r- $.00336 = 892.85, number of pounds of cream 



necessary for the hauler to gather in order to pay expenses, 



as per (6). Answer. 



892.85 X .35 = 312.4975, number of pounds fat 

 312.4975 X .18 (overrun) = 56.2495, number of pounds over- 

 run 



