A paint manufacturer produces two types of paint, one type
of standard quality (S) and the other of top quality (T). To make these paints, he needs two ingre-
dients, the pigment and the resin. Standard quality paint requires 2 units of pigment and 3 units of
resin for each unit made, and is sold at a profit of R1 per unit. Top quality paint requires 4 units
of pigment and 2 units of resin for each unit made, and is sold at a profit of R1.50 per unit. He
has stocks of 12 units of pigment, and 10 units of resin. Formulate the above problem as a linear
programming problem to maximize his profit?