Q$3$: $(35$ points$).$

The Gorman Manufacturing Company must decide whether to manufacture a component part at its Milan, Michigan, plant or purchase the component part from a supplier. The resulting profit is dependent upon the demand for the product. The following payoff table shows the projected profit $($in thousands of dollars$)$:

$\backslash$table$[[$Decision Alternative,State of Nature$],[\backslash$table$[[$Low Demand$],[s_1$