Question: Nelson's Nails makes nails, bolts, and washers from scrap steel. Each product must be "finished" (smoothing rough edges) after being formed. Each product is then coated with zinc to prevent rusting. A crate of nails requires 14 pounds of scrap steel, 5 hours of labor for finishing and 4 pounds of zinc. A crate of bolts uses 17 pounds of steel and a crate of washers takes 8 pounds of steel. A crate of washers requires 4 hours of finishing tiMeand 3 pounds of zinc. A crate of bolts uses 1 pound of zinc and takes 5 hours to finish.

The company has 900 pounds of steel and 300 pounds of zinc as well as 450 hours of finishing time available. If the profit on a crate of nails is $65, the profit on a crate of bolts $40 and the profit on a crate of washers is $30, how many crates of each product should be made to maximize profit?

a) How do we know it is the final matrix?

b) Write a complete interpretation of the final solution matrix.