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Subject:MathPrice: Bought3
1.Sketch the system of inequalities.
x + 2y ≤ 24
x ≥ 0, y ≥ 0
List all vertices. (Order your answers from smallest to largest x, then from smallest to largest y.)
(x, y) =
(x, y) =
(x, y) =
Identify the region as "bounded" or "unbounded."
bounded
unbounded
2.Sketch the system of inequalities.
−2x + y ≤ 12
x ≤ 10
x ≥ 0, y ≥ 0
List all vertices. (Order your answers from smallest to largest x, then from smallest to largest y.)(x, y) =
(x, y) =
(x, y) =
(x, y) =
Identify the region as "bounded" or "unbounded."
bounded
unbounded
3.Sketch the system of inequalities.
x + 2y ≤ 8
x + y ≤ 6
x ≥ 0, y ≥ 0
List all vertices. (Order your answers from smallest to largest x, then from smallest to largest y.)(x, y) =
(x, y) =
(x, y) =
(x, y) =
Identify the region as "bounded" or "unbounded."
bounded
unbounded
4.Sketch the system of inequalities. List all vertices and identify the region as "bounded" or "unbounded."
6x + 3y ≥ 24
y ≥ 2x ≥ 0
List all vertices. (Order your answers from smallest to largest x, then from smallest to largest y.)(x, y) =
(x, y) =
Identify the region as "bounded" or "unbounded."
bounded
unbounded
5.Formulate the situation as a system of inequalities. (Let x represent the number of goats the farmer can raise and y represent the number of llamas.)
A rancher raises goats and llamas on his 800-acre ranch. Each goat needs 4 acres of land and requires $60 of veterinary care per year, while each llama needs 10 acres of land and requires $48 of veterinary care per year. If the rancher can afford no more than $7,920 for veterinary care this year, how many of each animal can he raise?
(land requirements)
(veterinary care)
x ≥ 0, y ≥ 0
Find the vertices. (Order your answers from smallest to largest x, then from smallest to largest y.)(x, y) =
(x, y) =
(x, y) =
(x, y) =
