Subject:MathPrice: Bought3

1.Sketch the system of inequalities.

*x* + 2*y* ≤ 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.

−2*x* + *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* + 2*y* ≤ 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."

6*x* + 3*y* ≥ 24

*y* ≥ 2*x* ≥ 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*) =