Math Problem Solver

The TKK Corporation, a large conglomerate, has three subsidiaries engaged in producing raw rubber, manufacturing tires and manufacturing other rubber-based goods. Production of 1 unit of raw rubber requires the consumption of 0.08 units of rubber, 0.04 units of tires and 0.02 units of other rubber-based goods. To produce 1 unit of tires requires 0.6 units of raw rubber, 0.02 units of tires, and 0 units of other rubber-based goods. To produce 1 unit of other rubber-based goods requires 0.3 units of raw rubber, 0.01 units of tires, and 0.06 units of other rubber-based goods. Market research indicates that the demand for the following year will be ksh. 200 million for raw rubber, ksh. 800 million for tires and ksh. 120 million for rubber-based products. Find the level of production for each subsidiary in order to satisfy this demand.