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Supervisor's memo: At the present rate of manufacture we will not have the 1,200 circuit boards assembled in time to ship them to the customer. We currently have 10 workers, working 8 hours a day, assembling the boards, and to date they've assembled 400. In order to finish the customer's order in time, I'll need to have each of the workers work an additional 2 hours for each of the 10 work days between now and the deadline.
One can determine the hourly rate at which each worker assembled circuit boards up to the date of the supervisor's memo by dividing 1 circuit boards by the product of 2 worker-hours and the number of days since the workers began assembling the circuit boards. Select Circuit boards for the option that fills the blank labeled 1 in the given statement, and select Worker-hours for the option that fills the blank labeled 2 in the given statement to create the most accurate statement on the basis of the information provided. Make only two selections, one in each column.
Circuit boards
Worker hours
80
400
500
800
1,000
1,200
Let's create a simple table to track our key information:
| Current Status | Values |
| Total boards needed | 1,200 |
| Boards assembled to date | 400 |
| Number of workers | 10 |
| Current hours per day | 8 |
| Worker-hours per day | \(10 \times 8 = 80\) |
The statement looks intimidating, but let's break it down:
"One can determine the hourly rate at which each worker assembled circuit boards up to the date of the supervisor's memo by dividing [1] circuit boards by the product of [2] worker-hours and the number of days since the workers began assembling the circuit boards."
Key components:
To find hourly rate per worker, we need:
For blank 1 (circuit boards):
For blank 2 (worker-hours):
Let's verify our formula makes sense:
This is logical because as the number of days (d) increases, the hourly rate decreases, which makes sense.
Final Answer:
This creates the statement: "One can determine the hourly rate at which each worker assembled circuit boards up to the date of the supervisor's memo by dividing 400 circuit boards by the product of 80 worker-hours and the number of days since the workers began assembling the circuit boards."