Question

You are organizing a Christmas party for at least 75 people. You plan to offer Candied Ham and Fried Chicken. Candied Ham costs $2 per serving, and Fried Chicken costs $4 per serving. You have a budget of at most $800 for food. Write a system of linear inequalities to represent the combinations of meals you can offer. Let H represent the number of ham meals, and C represent the number of chicken meals.

A) H + C ≥ 75; 2H + 4C ≤ 800

B) H - C ≤ 75; 2H + 4C ≤ 800

C) H + C ≤ 75; 2H - 4C ≥ 800

D) H + C ≥ 75; 2H + 4C ≥ 800

Answer 1

The correct system of linear inequalities for organizing the Christmas party with the given criteria is option A) H + C ≥ 75; 2H + 4C ≤ 800.

Step-by-step explanation:

The correct system of linear inequalities to represent the combinations of meals for organizing a Christmas party for at least 75 people, within a budget of $800, where Candied Ham costs $2 per serving (H), and Fried Chicken costs $4 per serving (C), is given by: A) H + C ≥ 75; 2H + 4C ≤ 800.

The first inequality, H + C ≥ 75, ensures that there are enough servings for at least 75 people. The second inequality, 2H + 4C ≤ 800, ensures that the total cost does not exceed the budget of $800. To plan within the budget constraint, you must select combinations of ham and chicken meals that satisfy both inequalities simultaneously.