A company produces telephones at the rate of 600 per day. A customer survey indicates that the demand for phones with built in answering machines is twice as great as the demand for phones without the machines. If you are deciding the production quota for the day, how many phones with answering machines would you schedule for production? How many without answering machines would you make?
To determine the production quota for phones with answering machines and without answering machines, we need to consider the ratio of demand between the two types of phones.
Let's assume the demand for phones without answering machines is X, which means the demand for phones with answering machines is 2X.
The total demand for phones per day is the sum of the demand for phones with and without answering machines:
X + 2X = 3X
Since the company produces 600 phones per day, the production quota for each type of phone can be determined by dividing the total production by the total demand:
600 / (3X) = 200 / X
To find the value of X, we can use ratios. Since the demand for phones without answering machines is X, the demand for phones with answering machines is 2X.
Therefore:
X / (2X) = 600 / 200
1 / 2 = 3
Multiply both sides of the equation by 2:
1 = 6
Divide both sides of the equation by 6:
X = 1/6
Now, we can calculate the production quota for each type of phone:
For phones with answering machines: 2X = 2 * (1/6) = 1/3 * 600 = 200
For phones without answering machines: X = (1/6) * 600 = 100
Therefore, for the given scenario, you should schedule 200 phones with answering machines and 100 phones without answering machines for production.