The logistics company is considering modernizing their operation by purchasing a modernized conveyer system. The new conveyer system requires 1 hour and 9 kWatts of electricity to move cargo to one loading dock. The old conveyer system requires 1 hr and 5 kWatts. Currently, management allocated 6 hours and 45 kWatts of energy for operation of the conveyer system at the loading dock. The new system contributes $8 to profit, and the old system contributes $5 to profit. Formulate and solve an Integer Program to maximize the profit. (no Excel or LINDO. Show work).