5 A manufacturer produces two products, A and B, using 3 inputs X, Y and Z. To produce one unit of commodity A requires 8 units of X, 5 units of Y and 4 units of Z; to produce one unit of B requires 3 units of X, 4 units of Y and 7 units of Z. The total supply of inputs available in any production period are 24 units of X, 20 units of Y and 28 units of Z. If profit per unit of output obtained on A is 200 and profit per unit of B is 300, what are the levels of output of the two commodities which will maximise profits?