1. Deconstructing the ArgumentTo find the assumption, we first need to break the manufacturer's logic into its core components:
The Problem: Sales are stagnant (they aren't growing).
The Action: Downsizing production staff (cutting the workforce).
The Conflict: Usually, fewer workers mean lower productivity (making fewer goods).
The Goal: Increase total profit.
The Logical GapIf the manufacturer makes fewer items (lower productivity) but wants to make more profit, they are betting that the money they save on salaries is greater than the money they lose from selling fewer clothes.
2. Evaluating the OptionsA. Necessity of staff reduction for new products
Incorrect. The prompt says the goal is to "increase profits" during "stagnated sales," not that they ran out of things to make. This choice doesn't explain how the manufacturer plans to remain profitable despite lower productivity.
B. Competition from smaller manufacturers
Incorrect. If smaller manufacturers keep stealing business, the large manufacturer’s sales would likely continue to drop. This would hurt profits, not help them. This choice actually weakens the manufacturer’s confidence.
C. Lower prices and durable materials
Incorrect. While this sounds like a good business move, the prompt doesn't mention prices or material quality. An assumption must connect the specific actions mentioned (downsizing) to the goal (profit).
D. New factory safety regulations
Incorrect. This is "outside information." The cost of future regulations is irrelevant to whether downsizing staff today will increase profit margins in the face of lower productivity.
E. Savings vs. Productivity Loss
Correct. This is the "bridge" that makes the plan work.
The Logic: If I fire 100 people, I save $5 million in wages.
The Risk: Because I fired them, I produce less and lose $2 million in sales.
The Result: I am still "up" by $3 million.
For the manufacturer to be "confident" in this plan, they must assume that the cost-cutting (savings) outweighs the loss in output.
3. The "Negation Test"A great way to check your answer on assumption questions is to negate it (turn it into the opposite). If the negated version destroys the argument, it is the correct assumption.
Negated E: The expenses saved by reducing staff will NOT compensate for the decline in profit caused by lowered productivity.
If the savings don't cover the losses, the plan to increase profits is guaranteed to fail. Since the negation breaks the argument, E is the essential assumption.