Let's solve each part step by step using the data provided. --- ## Step 1: **Calculate the effective production time (in hours) for each assembly line.** - **Each line operates for 8 hours per day.** - **Setup time must be subtracted from total time.** - **Setup time is given in minutes; convert to hours:** \[ \text{Effective Production Time (hours)} = 8 - \frac{\text{Setup Time (minutes)}}{60} \] ### Calculations: #### **Line A:** \[ \text{Effective Production Time} = 8 - \frac{40}{60} = 8 - .67 = 7.33 \text{ hours} \] #### **Line B:** \[ \text{Effective Production Time} = 8 - \frac{30}{60} = 8 - .5 = 7.5 \text{ hours} \] #### **Line C:** \[ \text{Effective Production Time} = 8 - \frac{50}{60} = 8 - .83 = 7.17 \text{ hours} \] --- ## Step 2: **Determine the total number of units produced by each line per day.** \[ \text{Total Units Produced} = \text{Effective Production Time (hours)} \times \text{Units Produced per Hour} \] ### Calculations: #### **Line A:** \[ \text{Total Units Produced} = 7.33 \times 120 = 879.6 \approx 880 \text{ units} \] #### **Line B:** \[ \text{Total Units Produced} = 7.5 \times 110 = 825 \text{ units} \] #### **Line C:** \[ \text{Total Units Produced} = 7.17 \times 130 = 932.1 \approx 932 \text{ units} \] --- ## Step 3: **Compute the number of saleable (good) units produced by each assembly line.** \[ \text{Saleable Units} = \text{Total Units Produced} - \text{Defective Units per Day} \] ### Calculations: #### **Line A:** \[ \text{Saleable Units} = 880 - 30 = 850 \] #### **Line B:** \[ \text{Saleable Units} = 825 - 20 = 805 \] #### **Line C:** \[ \text{Saleable Units} = 932 - 35 = 897 \] --- ## Step 4: **Identify which assembly line has the highest effective productivity based on saleable output.** ### **Summary Table:** | Line | Saleable Units | |--------|----------------| | Line A | 850 | | Line B | 805 | | Line C | 897 | - **Highest saleable output:** **Line C** with **897 units** --- ## **Final Answers (Summary Table)** | Assembly Line | Effective Production Time (hours) | Total Units Produced | Defective Units | Saleable Units (Good) | |---------------|----------------------------------|---------------------|-----------------|-----------------------| | A | 7.33 | 880 | 30 | 850 | | B | 7.5 | 825 | 20 | 805 | | C | 7.17 | 932 | 35 | 897 | ### **Line C has the highest effective productivity based on saleable output.** --- **If you need the calculations shown with more significant digits or explained further, let me know!**