39089fee-eat-platters-which-system-of-inequalities-models-the-minimum-serving-co

Question

A small catering company must prepare at least 40 servings of vegetarian dishes and at least 30 servings of meat dishes for an event. Each vegetarian platter serves v people and each meat platter serves m people; one vegetarian platter serves 8 people and one meat platter serves 6 people. Let x = number of vegetarian platters and y = number of meat platters. Which system of inequalities models the minimum serving constraints?

Accepted Answer

8x ≥ 40 and 6y ≥ 30, which simplify to x ≥ 5 and y ≥ 5.

Answer

8x ≤ 40 and 6y ≤ 30 because the caterer must not exceed the minimum serving amounts.

Answer

8x + 6y ≥ 70 because combined servings must be at least 70 irrespective of vegetarian or meat counts.

Answer

x + y ≥ 70 because total servings measured as platters must exceed 70.