Suppose the technology matrix for a closed model of an economy is given by matrix A. Find the gross productions for the industries. 
Definitions:
Financial Option
A contract that gives the buyer the right, but not the obligation, to buy or sell an underlying asset or instrument at a specified strike price.
Fixed Price
An agreed upon price for goods and services that remains constant, unaffected by the fluctuations in the market or resource costs.
Risk Averse
A description of an investor's preference for lower risk, opting for surety over a gamble with potentially higher returns but higher uncertainty.
Cash Flow
The net amount of cash and cash-equivalents being transferred into and out of a business, critical for daily operations, taxes, purchasing inventory, and paying employees.
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