Chapter 3, Problem 23T

Use the following information in Problem $22$

and $23$.

The national economy of Swaziland has four products: agricultural products, machinery, fuel, and steel. Producing $1$

unit of agricultural products requires $0.2$

unit of agricultural products, $0.3$

unit of machinery, $0.2$

unit of fuel, and $0.1$

unit of steel. Producing $1$

unit of machinery products requires $0.1$

unit of agricultural products, $0.2$

unit of machinery, $0.2$

unit of fuel, and $0.4$

unit of steel. Producing $1$

unit of fuel requires $0.1$

unit of agricultural products, $0.2$

unit of machinery, $0.3$

unit of fuel, and $0.2$

unit of steel. Producing $1$

unit of steel requires $0.1$

unit of agricultural products, $0.2$

unit of machinery, $0.3$

unit of fuel, and $0.2$

unit of steel.

Determine how many units of each product will give surpluses of $1700$ units of agriculture products, $1900$ units of machinery, $900$ units of fuel, and 300 units of steel.