Bordner Company manufactures HVAC (heating, ventilation, and air conditioning) systems for commercial buildings. For each new design, Bordner faces a 90 percent learning rate. On average, the first unit of a new design takes 600 hours. Direct labor is paid $25 per hour.
Required:
1. Set up a table with columns showing: the cumulative number of units, cumulative average time per unit in hours, and cumulative total time in hours. Show results by row for total production of one unit, two units, four units, eight units, and sixteen units.
2. What is the total labor cost if Bordner makes the following number of units: one, four, sixteen? What is the average cost per system for the following number of systems: one, four, or sixteen?
3. Using the logarithmic function, set up a table with columns showing: the cumulative number of units, cumulative average time per unit in hours, cumulative total time in hours, and the time for the last unit. Show results by row for each of units one through eight.