Golden Eagles, Inc. produces three styles of portable stadium seats: high-rider style, low-rider style, and line-hugger style. The seats are made of high-impact composite material and are produced in two steps, assembly and painting. The schedule for labor and material inputs for each seat style are as follows:

Assembly labor

\(1 \mathrm{~h}\) per high-rider seat

\(3 \mathrm{~h}\) per low-rider seat

\(1.5 \mathrm{~h}\) per line-hugger seat Painting labor

\(1.5 \mathrm{~h}\) per high-rider seat

\(1.5 \mathrm{~h}\) per low-rider seat

\(4 \mathrm{~h}\) per line-hugger seat Material requirement 4 pounds per high-rider seat 3 pounds per low-rider seat 6 pounds per line-hugger seat

\(2,000 \mathrm{~h}\) of assembly labor hours are available per month

\(1,000 \mathrm{~h}\) of painting labor hours are available per month The contributions to profit for the styles are \(\$ 35, \$ 40\), and \(\$ 65\), respectively. The company has two equally desirable goals: minimization of idle time in painting, and making a monthly profit of \(\$ 20,000\). Set up this problem as a goal programming problem and show the initial tableau.