An objective function and a system of linear inequalities representing constraints are given. a. Graph the system of inequalities representing the con

Armorikam

Armorikam

Answered question

2021-01-02

An objective function and a system of linear inequalities representing constraints are given.
a. Graph the system of inequalities representing the constraints.
b. Find the value of the objective function at each corner of the graphed region.
c. Use the values in part (b) to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.
z=2x+3y
{xandy02x+y82x+3y12

Answer & Explanation

wornoutwomanC

wornoutwomanC

Skilled2021-01-03Added 81 answers

x0 (1)
y0 (2)
2x+y8 (3)
2x+3y12 (4)
a) Graph of given inequalities
b) The value at corner is given in graph.
c) find the maximum at which corner,
At point A (0,0)
z=2(0)+3(0) = 0
At point B (0,4)
z=2(0)+3(4) = 12
At point C (3,2)
z=2(3)+3(2) = 12
At point D (4,0)
z=2(4)+3(0) = 8

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?