Production Calculation Analysis

This solution explains how to calculate the number of additional cycles a factory would produce if it matched its peak weekly output over five consecutive weeks.

Step 1: Identify Maximum Weekly Production

First, examine the table to find the week with the highest number of cycles produced:

• Week 1: 800 cycles
• Week 2: 1360 cycles
• Week 3: 1000 cycles
• Week 4: 900 cycles
• Week 5: 1400 cycles

The maximum number of cycles produced in a single week is 1400 (in Week 5).

Step 2: Calculate Hypothetical Total Production

If the factory had produced this maximum amount (1400 cycles) in each of the 5 weeks, the hypothetical total production would be:

$Hypothetical Total = Maximum Weekly Production $\times$ Number of Weeks$

$Hypothetical Total = $1400 \times 5 = 7000$ cycles$

Step 3: Calculate Actual Total Production

Next, calculate the sum of the cycles actually produced over the five weeks:

$Actual Total = $800 + 1360 + 1000 + 900 + 1400 = 5460$ cycles$

Step 4: Calculate Additional Cycles Needed

Finally, find the difference between the hypothetical total production and the actual total production to determine the number of additional cycles:

$Additional Cycles = Hypothetical Total - Actual Total$

$Additional Cycles = $7000 - 5460 = 1540$ cycles$

Therefore, the factory would have produced 1540 additional cycles.