RAW SUGAR 



441 



penses of containers, handling, railway, shipping, and port and dock dues. 

 These may be expressed as a lineal function of the weight of the product, 

 so that the nett sum received by the producer is either 



(s(i—m) 100) f , ,i ^x 1 tfs(i— w) lool 

 i ^ X —-[ x\c + {p —96 X 0-031251 —kl— X -—[ 



cents or 



(s{i- 



X 



100 



X j C — (96 — ^) X O • 062; 



] \s{ i~m) 



m 



100] 



( S — W /) j 



cents where ^ is a constant. 



It should be the object of the producer to produce that quality of raw sugar 

 which will afford him the maximum of profit. In nearly every case the 

 maximum will be found when both p and s are 96°. That is to say, when he 

 makes an absolutely dry 96 test sugar. 



The natures of the equations given above are not such that they can be 

 solved for a maximum value, and it \\i\\ be necessar\' to construct tables 

 for each and every factory \vith its particular conditions. As showing how 

 the sum received by the producer may var}^ one series of calculations is 

 appended for sugar quoted at 3 cents, cost of containers, freight charges, 

 etc., being $6- 00 per ton. 



