What helps make tourism an important industry in North Afric

Suppose that a closed economic region has three industries: service, electrical power, and tourism. The service industry uses $20 \%$ of its own production, $40 \%$ of the electrical power, and $80 \%$ of the tourism. The power company uses $40 \%$ of the service industry, $20 \%$ of the electrical power, and $10 \%$ of the tourism. The tourism industry uses $40 \%$ of the service industry, $40 \%$ of the electrical power, and $10 \%$ of the tourism.

Let $S, E$ , and $T$ be the numbers of units produced by the service, electrical, and tourism industries, respectively. The following system of linear equations can be used to determine the relative number of units each industry needs to produce. (This model assumes that all production is consumed by the region.)

\begin{aligned} & 0.2 S+0.4 E+0.8 T=S \\ & 0.4 S+0.2 E+0.1 T=E \\ & 0.4 S+0.4 E+0.1 T=T \end{aligned}

Solve the system and write the solution in terms of $T$ .

If tourism produces 60 units, how many units should the service and electrical industries produce?

Solution

Verified

Answered 2 years ago

Step 1

1 of 2

Tourism is very important in North Africa. All states worked hard to attract tourists, but riots and conflicts during the 1990s slowed tourism. Egypt has since managed to improve, but tourism in Algeria remains low.