  PRE-ALGEBRA
ALGEBRA 1
GEOMETRY
ALGEBRA 2
TRIGONOMETRY
PRE-CALCULUS
CALCULUS    Precalculus 2014 PAGE: 411 SET: Exercises PROBLEM: 19
Please look in your text book for this problem Statement  The constraints are The objective function is .

Graph :

Graph the inequalities and shade the required region. Note : The shaded region is the set of solution points for the objective function.

Observe the graph,

Tabulate the solutions of each of two system of inequalities and obtain the intersection points.

 System of boundary equations      Solution (vertex points)    Find the value of objective function at the solution points.

At point , .

At point , .

At point , .

The object function have many solutions for different values of .

Let .

Substituite in maximum and minimum values. . . .

Observe the values of ,

The maximum value of is when and .

The minimum value of is when and  The maximum at point is .

The minimum at point is . TESTIMONIALS
 "I want to tell you that our students did well on the math exam and showed a marked improvement that, in my estimation, reflected the professional development the faculty received from you. THANK YOU!!!" June Barnett "Your site is amazing! It helped me get through Algebra." Charles "My daughter uses it to supplement her Algebra 1 school work. She finds it very helpful." Dan Pease
 Tweets by @mathskeydotcom

QUESTIONS? LET US HELP.
mathskey.com is not affiliated with any Publisher, Book cover, Title, Author names appear for reference only