Matrices - Economics based question

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SUMMARY

This discussion focuses on an economic model involving three sectors: tourism, transportation, and services. The consumption matrix is established based on specific input requirements for each sector, with tourism needing $0.30 from itself, $0.10 from transportation, and $0.30 from services per dollar of output. The participant calculated that the services sector requires $1,000,000 from tourism, with total input values of $7,000,000 for tourism, $12,000,000 for transportation, and $5,000,000 for services. The participant expressed confusion regarding the calculation of net production for each sector.

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Homework Statement


An island's economy is divided into three sectors-tourism, transportation, and services. Suppose that each dollars worth of tourism output requires inputs of $0.30 from the tourism sector, $0.10 from the transportation sector, and $0.30 from the services sector; each dollars worth of transportation output requires inputs of $0.20 from the tourism sector, $0.40 from the transportation sector, and $0.20 from the services sector; and each dollars worth of services output requires inputs of $0.05 from the tourism sector, $0.05 from the transportation sector, and $0.15 from the services sector.

(a) Write the consumption matrix for this economy.

(b) If the gross production for this economy is $10 million of tourism, $15 million of trans-
portation, and $20 million of services, how much input from the tourism sector is required
by the services sector?

(c) If the gross production for this economy is $10 million of tourism, $15 million of trans-
portation, and $20 million of services, what is the total value of the inputs consumed by
each sector during the production process?

(d) If the total outputs of the tourism, transportation, and services sectors are $70 million, $50million, and $60 million, respectively, what is the net production of each sector?

(e) What gross production is required to satisfy exactly a demand for $30 million of tourism, $50 million of transportation, and $40 million of services?

The Attempt at a Solution


I'm stuck on part d), but I'll show you my answers and working for previous parts anyway...

a)
http://img174.imageshack.us/img174/9486/18752815lh9.jpg

b) $1,000,000 worth of input is required by the services sector from the tourism sector

c) total value of inputs consumed by the tourism sector is $7,000,000
total value of inputs consumed by the transport sector is $12,000,000
total value of inputs consumed by the services sector is $5,000,000

d) I don't understand how one calculates "net production".
 
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