(a) Explanation Given: The given inequalities are as follows: x ≥ 0 y ≤ 0 3 x − 2 y ≤ 6 y ≤ − x + 7 Graph: Consider the inequalities shown below: x ≥ 0 y ≤ 0 3 x − 2 y ≤ 6 y ≤ − x + 7 Rewrite the corresponding equations by substituting “equal to” symbol in the place of inequality symbols as shown below: 3 x − 2 y = 6 y = − x + 7 x = 0 y = 0 Put the value of y = − x + 7 in the equation 3 x − 2 y = 6 to get the value of x , as shown below: 3 x − 2 y = 6 3 x − 2 × ( − x + 7 ) = 6 3 x + 2 (b) To determine Points that form the corners of the graphed region shown below: (c) To determine To calculate: The value of 2 x + 5 y at the corner points ( 0 , 0 ) , ( 2 , 0 ) , ( 4 , 3 ) , and ( 0 , 7 ) .

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Author: Blitzer

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Chapter 8.5, Problem 124E

(a)

To determine

To graph: The sketch of the solution set of the system {x≥0y≤03x−2y≤6y≤−x+7.

(b)

To determine

Points that form the corners of the graphed region shown below:

(c)

To determine

To calculate: The value of 2x+5y at the corner points (0,0),(2,0),(4,3), and (0,7).

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Chapter 8.5, Problem 123E

Chapter 8.5, Problem 125E

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To graph: The sketch of the solution set of the system { x ≥ 0 y ≤ 0 3 x − 2 y ≤ 6 y ≤ − x + 7 .

Solution Summary: The author explains how to graph the solution set of the linear system cxge.

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To graph: The sketch of the solution set of the system {x≥0y≤03x−2y≤6y≤−x+7.

Points that form the corners of the graphed region shown below:

To calculate: The value of 2x+5y at the corner points (0,0),(2,0),(4,3), and (0,7).

Want to see the full answer?

Chapter 8 Solutions