Question

Two branches of a company produce the same product. Both branches together produced 12,400 items per day. The manufacturing process at the lower producing branch was changed, resulting in a 25% increase in production. The process at the other branch remained unchanged. The total production of both branches together is increased to 13,550 items per day. How many items per day were produced by each branch before the lower producing branch's process was changed?

a. Lower branch: 9,600; Other branch: 2,800
b. Lower branch: 8,000; Other branch: 4,400
c. Lower branch: 7,000; Other branch: 5,400
d. Lower branch: 6,000; Other branch: 6,400

Answer 1

Before the lower branch's process change, the lower branch produced 6,400 items per day, while the other branch produced 6,000 items per day.

Step-by-step explanation:

Let's represent the number of items produced by the lower branch before the process change as x. Since the total production of both branches together was 12,400 items per day, the number of items produced by the other branch would be 12,400 - x.

After the process change at the lower branch, there was a 25% increase in production, so the new production for that branch is 1.25x. The production for the other branch remains the same at 12,400 - x.

The total production of both branches together after the change is 13,550, so we can write the equation 1.25x + (12,400 - x) = 13,550.

Solving this equation, we find that x = 6,400. Therefore, before the lower branch's process was changed, the lower branch produced 6,400 items per day, while the other branch produced 12,400 - 6,400 = 6,000 items per day.