A manufacturer produces three products p, q and r. each unit of product p requires in its production 20 units of raw material a , 10 units of raw material b and 1 unit of raw material c whereas each unit of product q requires 30 units of raw material a , 50 units of raw material b and 1 unit of raw material c. each unit of product r requires in its production 10 units of raw material a, 5 units of raw material b and 1 unit of raw material c. there is a limited supply of only 1200 units of raw material a, 950 units of raw material b and 95 units of raw material c. formulate a matrix equation and use inverse method to find how many units of p, q and r can be produced if the manufacturer is to exhaust the supply of raw materials (to operate at full capacity)