Maximize $,Z=2P-5C-3D,$

where $P=$ total $($discounted$)$ profit over life of new products,

$C=$ change $($in either direction$)$ in current level of employment,

$D=$ decrease $($if any$)$ in next year's earnings from current year's level.

The amount of any increase in earnings does not enter into $Z,$ because management is concemed primarily with just achieving some increase to keep the stockholders happy. $($It has mixed feelings about a large increase that then would be difficult to surpass in subsequent years.$)$

The impact of each of the new products $($per unit rate of production$)$ on each of these factors is shown in the following table:

$\backslash$table$[[$Factor$,$Unit Contribution,Goal,$($Units$)],[$Product$],[1,2,3],[$Long$-$run profit,$20,15,25,$Maximize,$\backslash$table$[[($millions of dollars$)],[($hundreds of employees$)]]]]$