Question

1. By graphing the system of constraints, find the values of x and y that maximize the objective function.

2<=x<=6
1<=y<=5
x+y<=8

maximum for p=3x+2y

A. (2,1)
B. (6,2)
C. (2,5)
D. (3,5)

2. By graphing the system of constraints, find the values of x and y that maximize the objective function.

3x+y<=7
x+2y<=9
x=>0
y=>0

Maximum for p=2x+y

a. p=3
b. p=4
c. p=6
d. p=10

3.By graphing the system of constraints, find the values of x and y that maximize the objective function.

x+y<=11
2y=>x
x=>0
y=>0

maximum for p=3x+2y

a. p=10 1/3
b. p=7 1/3
c. p=21
d. p=29 1/3

4.By graphing the system of constraints, find the values of x and y that maximize the objective function.

25<=x<=75
y<=110
8x+6y=>720
y=>0

minimum for c=8x+5y

a. c=100
b. c=225 2/3
c. c=633 1/3
d. c=86 2/3

5. By graphing the system of constraints, find the values of x and y that maximize the objective function.

2x+y<=300
x+y<=200
x=>0
y=>0

maximum for p=x+2y

a. p=100
b. p=200
c. p=400
d. p=550


These are the last five of a test I'm working on and my brain is getting stuck:/ Any help is appreciated! Thanks

Answer 1

well, did you graph the lines of the constraints, and shade the appropriate areas?

This web site will solve the problem and even graph the solution if you want:

http://www.zweigmedia.com/RealWorld/LPGrapher/lpg.html

Answer 2

By graphing the system of constraints, find the values of x and y that maximize the objective function.

2x+y<=300
x+y<=200
x=>0
y=>0
maximum for p=x+2y

Answer 3

What were these answers?

Answer 4

Practice:
1.) (5,0)
2.) (8,0)
3.) (6,2)
4.) P=6
5.) P= 29 1/3
6.) C = 633 1/3
7.) 3 trays of corn muffins and 2 trays of bran muffins.
8.) P = 400
9.) C = 67,370
10.) P = 51

Quick Check:
1.) (5,0)
2.) 40 type of A : 80 of type B
3.) x = 1,600; y = 0

Answer 5

By graphing the system of constraints, find the values o f x and y that minimize the objective function.
x+2y=>8
x=>2
y=>0
minimum for C=x+3y

Answer 6

countess nightmare is 100% right. <3.

Answer 7

countless nightmare is right.

ily <33