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Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
Publisher: Cengage Learning
ISBN: 9781337625340
BuyFind

Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
Publisher: Cengage Learning
ISBN: 9781337625340

Solutions

Chapter
Section
Chapter 4.2, Problem 3E
Textbook Problem

In Problems 1-4, use the given feasible region determined by the constraint inequalities to find the maximum and minimum of the given objective function (if they exist).

f = 5 x + 2 y

Chapter 4.2, Problem 3E, In Problems 1-4, use the given feasible region determined by the constraint inequalities to find the

Expert Solution
To determine

To calculate: The maximum and minimum points of the given objective function f=5x+2y, using the given feasible region:

Mathematical Applications for the Management, Life, and Social Sciences, Chapter 4.2, Problem 3E

Explanation of Solution

Given Information:

The provided figure is shown below,

Calculation:

Consider the provided objective function,

f=5x+2y

Now, in order to determine, the maximum and minimum value,

Read the graph,

The maximum points lay above the shaded region and the minimum value lay below the shaded region.

As the region is unbounded and open,

So, the coordinates of feasible region are:

The maximum values are the 0 or no maximum values.

The minimum value is (0,6),(1,3),(2,1) and (4,0).

Substitute (x,y)=(0,6) in the objective function f=5x+2y.

f=5x+2y=5(0)+2(6)=0+12=12

Substitute (x,y)=(1,3) in the objective function f=5x+2y

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Chapter 4 Solutions

Mathematical Applications for the Management, Life, and Social Sciences
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