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[10] 7. An island economy consists of the sectors of tourism, agriculture and fishing. To produce a dollar's worth of tourism requires an input of
[10] 7. An island economy consists of the sectors of tourism, agriculture and fishing. To produce a dollar's worth of tourism requires an input of $0.3, $0.2 and $0.1 from tourism, agriculture and fishing respectively. A dollar's worth of agriculture re- quires inputs of $0.1 from each sector. On the other hand, a dollar's worth of fishing requires inputs of $0.3, $0.2 and $0.1 from the sectors of tourism, agricul- ture and fishing. (A) Write the technological matrix M for this island economy. (B) If a final demand of $20 million, $5 million and $10 million from tourism, agriculture and fishing is to be met, set up the equation to be satisfied by the inputs from the respective sectors. (C) Solve the respective inputs satisfying these demands. [10] 7. An island economy consists of the sectors of tourism, agriculture and fishing. To produce a dollar's worth of tourism requires an input of $0.3, $0.2 and $0.1 from tourism, agriculture and fishing respectively. A dollar's worth of agriculture re- quires inputs of $0.1 from each sector. On the other hand, a dollar's worth of fishing requires inputs of $0.3, $0.2 and $0.1 from the sectors of tourism, agricul- ture and fishing. (A) Write the technological matrix M for this island economy. (B) If a final demand of $20 million, $5 million and $10 million from tourism, agriculture and fishing is to be met, set up the equation to be satisfied by the inputs from the respective sectors. (C) Solve the respective inputs satisfying these demands
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