Practical Dairy Problems 1543 



computing the amount of cream necessary to make a cream-gather- 

 ing route profitable 

 Problem 27; 



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

 gathleT 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 over- 

 run is 18 per cent, and not considering the cost of manufacture? 



(b) 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 manufacture is 3 cents per 

 pound of butter? 



Note: Very often when a cream route is newly started it will not pay for itself, but 

 if it is handled properly it will become a paying route. 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. 



(a) I lb. (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% cream 

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

 sary 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 



(b) I 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 i lb. cream 



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



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



cream 

 $.0875 4- $.01239 = $.09989, total cost of butter in i lb. of cream 

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

 $.10325 — $.09989 = $.00336, profit on I lb. cream 

 $3 (wages) -7- $.00336 ^= 892.85, number of pounds of cream neces- 

 sary for the hauler to gather in order to pay expenses, as per (b). 

 Answer. 

 Proof: 



892.85 X .35 = 312.4975, number of pounds fat 



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



312.4975 + 56.2495 = 368.747, number of pounds butter 



