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If a project plan states it will last 10 months and will create 150 gadgets per month, what is the planned value when 50 percent of the project is complete?

  1. $1,500

  2. $4,500

  3. $8,250

  4. $9,000

The correct answer is: $4,500

To determine the planned value when 50 percent of the project is complete, you first need to understand the total project duration and the output rate. The project is set to last 10 months and produce 150 gadgets each month. First, calculate the total number of gadgets planned for the entire project by multiplying the monthly output by the total duration: 150 gadgets/month × 10 months = 1,500 gadgets. Next, since the question asks for the planned value when 50 percent of the project is complete, you need to find out what that equates to in terms of time and output. At 50 percent completion, the timeline reaches 5 months (50% of 10 months). Then, calculate how many gadgets are expected to be produced in that 5-month period: 150 gadgets/month × 5 months = 750 gadgets. The planned value can also be interpreted as a monetary value, typically calculated based on the total estimated cost of the project. If we were to assume each gadget has a certain value or cost attached to it, you could derive the monetary value from the total outputs. If we say that producing each gadget costs $6 (just hypothetically for this explanation), then the monetary value for the 750