A toy factory manufactures two types of wooden toys: soldiers and trains. A soldier sells for R27 and uses R10 worth of raw material and R14 worth labour. A train sells for R21 and uses R9 worth of raw material and R10 worth of labour. The manufacture of each toy requires two types of labour: carpentry and finishing. A soldier requires two hours of finishing labour and one hour of carpentry labour. A train requires one hour of finishing labour and one hour of carpentry labour. Each week only 100 hours of finishing labour and 80 hours of carpentry labour are available. All the trains can be sold, but at most 40 soldiers can be sold each week. How many soldiers and trains should be produced each week to maximize profit if a R520 is budgeted for raw material and R650 is budgeted for labour costs.
