Certainly! Let's go through this step by step:
1. Understanding the Variables and Terms:
- We are tasked with calculating the hourly revenue from the buffet after certain price increases.
- The price paid by each customer after [tex]$x$[/tex] increments is derived from the initial price increment.
- The average number of customers per hour is affected by these price increments (though this relationship isn't explicitly provided in the given answer).
2. Identifying the Coefficients:
- Given the inequality in standard form, we need three coefficients: [tex]\(a\)[/tex], [tex]\(b\)[/tex], and [tex]\(c\)[/tex].
- From the given answer, we have:
- [tex]\( a = 0 \)[/tex]
- [tex]\( b = 1 \)[/tex]
- [tex]\( c = 0 \)[/tex]
3. Form the Inequality in Standard Form:
- The standard form of the quadratic inequality is [tex]\(ax^2 + bx + c \geq \text{desired revenue}\)[/tex].
- Substituting in the coefficients, we have:
- [tex]\(0x^2 + 1x + 0 \geq \text{desired revenue}\)[/tex]
4. Composing the Final Answer:
- The inequality simplifies to: [tex]\(0x^2 + 1x + 0 \geq \text{desired revenue}\)[/tex]
- Or more simply: [tex]\(x \geq \text{desired revenue}\)[/tex]
So, the correctly formatted inequality is:
[tex]\[
0x^2 + 1x + 0 \geq \text{desired revenue}
\][/tex]
