Solve
-The Length ℓ of a Metal Rod Used in Manufacturing

question 64

Multiple Choice

Solve.
-The length ℓ of a metal rod used in manufacturing cars must not differ from the standard s by more than 0.3 inches. The manufacturing engineers express this as |ℓ- s| ≤0.3. If the standard s is 23.1, solve the inequality for the length ℓ. Express the answer in set-builder notation.

• A) \(\{ \ell l \ell \leq 22.8\) or \(\ell \geq 23.4 \}\)
• B) \(\{ \ell l 22.8 \leq \ell \leq 23.4 \}\)
• C) \(\{ \ell \mid 23.4 \leq \ell \leq 23.7 \}\)
• D) \(\{\) ll \(l \leq 23.4\) or \(\ell \geq 23.7 \}\)

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Definitions:

Break-even Point

The financial analysis point at which total costs and total revenues are equal, yielding no net loss or gain.

Break-even Point

The break-even point is the point at which total costs equal total revenues, resulting in neither profit nor loss for the business.

Estimated Fixed Costs

Forecasted expenses that do not vary with the level of production or sales over a specific period of time.

Net Sales

This refers to the total revenue from sales minus returns, allowances for damaged or missing goods, and discounts.