Company TKK Corporation, a large conglomerate, has three subsidiaries engaged in producing raw rubber, manufacturing tires, and manufacturing other rubber-based goods. The production of 1 unit of raw rubber requires the consumption of 0.02 unit of rubber, 0.05 unit of tires, and 0.01 unit of other rubber-based goods. To produce 1 unit of tires requires 0.8 unit of raw rubber, 0.04 unit of tires, and 0 units of other rubber-based goods. To produce 1 unit of other rubber-based goods requires 0.3 unit of raw rubber, 0.02 unit of tires, and 0.07 unit of other rubber-based goods. Market research indicates that the demand for the following year will be $300 million for raw rubber, $500 million for tires, and $120 million for other rubber-based products. Suppose the demand for raw rubber increases by 10%, the demand for tires increases by 20%, and the demand for other rubber-based products decreases by 10%. Find the level of production for each subsidiary in order to satisfy this demand. Round the answers to the nearest tenth.

$ __________ million worth of raw rubber

$ __________ million worth of tires

$ __________ million worth of other rubber-based goods

Question

Company TKK Corporation, a large conglomerate, has three subsidiaries engaged in producing raw rubber, manufacturing tires, and manufacturing other rubber-based goods. The production of 1 unit of raw rubber requires the consumption of 0.02 unit of rubber, 0.05 unit of tires, and 0.01 unit of other rubber-based goods. To produce 1 unit of tires requires 0.8 unit of raw rubber, 0.04 unit of tires, and 0 units of other rubber-based goods. To produce 1 unit of other rubber-based goods requires 0.3 unit of raw rubber, 0.02 unit of tires, and 0.07 unit of other rubber-based goods. Market research indicates that the demand for the following year will be $300 million for raw rubber, $500 million for tires, and $120 million for other rubber-based products. Suppose the demand for raw rubber increases by 10%, the demand for tires increases by 20%, and the demand for other rubber-based products decreases by 10%. Find the level of production for each subsidiary in order to satisfy this demand. Round the answers to the nearest tenth.
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$ __________ million worth of raw rubber
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$ __________ million worth of tires
​
$ __________ million worth of other rubber-based goods

Quizplus · Accepted Answer

The Answer of Company TKK Corporation, a large conglomerate, has three subsidiaries engaged in producing raw rubber, manufacturing tires, and manufacturing other rubber-based goods. The production of 1 unit of raw rubber requires the consumption of 0.02 unit of rubber, 0.05 unit of tires, and 0.01 unit of other rubber-based goods. To produce 1 unit of tires requires 0.8 unit of raw rubber, 0.04 unit of tires, and 0 units of other rubber-based goods. To produce 1 unit of other rubber-based goods requires 0.3 unit of raw rubber, 0.02 unit of tires, and 0.07 unit of other rubber-based goods. Market research indicates that the demand for the following year will be $300 million for raw rubber, $500 million for tires, and $120 million for other rubber-based products. Suppose the demand for raw rubber increases by 10%, the demand for tires increases by 20%, and the demand for other rubber-based products decreases by 10%. Find the level of production for each subsidiary in order to satisfy this demand. Round the answers to the nearest tenth.
​
$ __________ million worth of raw rubber
​
$ __________ million worth of tires
​
$ __________ million worth of other rubber-based goods

Company TKK Corporation, a Large Conglomerate, Has Three Subsidiaries Engaged