An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.

Objective Function
z = 21x - 25y

Constraints
0 ≤ x ≤ 5
0 ≤ y ≤ 8
4x + 5y ≤ 30
4x + 3y ≤ 20

A. Maximum: 105; at (5, 0)
B. Maximum: -150; at (0, 6)
C. Maximum: 0; at (0, 0)
D. Maximum: -98.75; at (1.25, 5)

Question

An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs. 

Objective Function	
z = 21x - 25y 

Constraints	
0 ≤ x ≤ 5 
0 ≤ y ≤ 8 
4x + 5y ≤ 30 
4x + 3y ≤ 20

A. Maximum: 105; at (5, 0)	
B. Maximum: -150; at (0, 6)	
C. Maximum: 0; at (0, 0)	
D. Maximum: -98.75; at (1.25, 5)

anonymous · Answer

C is wrong

anonymous · Answer

only if u plot these on graph paper or accurate measurements will u be able to answer this question

anonymous · Answer

How do i do it?

anonymous · Answer

well you must find points for eg. inequality 4 and 5....(0; ) ( ;0) substitute in the inequal.