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## Homework Statement

Jeffrey is planning a large dinner party. His budget is $3000. He has the option of serving chicken at $30 per meal or roast beef at $40 per meal.

The cost of the party can be modeled with the equation

30

*c*+ 40

*b*= 3000, where

*c*represents the number of chicken meals ordered and

*b*represents the number of roast beef meals ordered.

What are the restrictions on the variables? Justify your reasoning.

## Homework Equations

restrictions on variables.

## The Attempt at a Solution

Well for the variable c you cannot exceed 100 meals or you will exceed your budget and you cannot have – 1 or more meals/$. So it has to be 0 or greater. So you can say:

0 <_ C <_ 3000 ($) (Note: the <_ is meant to represent greater or equal to.)

Same with b you cannot exceed 75 beef meals or you u will exceed your budget. You also can’t have –1 meals or dollars. So we can say that it has to be 0 or greater.

0 <_ B <_ 3000 ($)

Its a new concept for me and I would like to know if I am understanding it correctly, and got the answer right. I appreciate your time and effort and would like to say thank you in advance.