Question

Graph the system of constraints and find the value of x and y that maximize the objective function.

Constraints {x >= 0
y >= 0
y <= 3
y <= -x+5}

Objective Function C=-5x+3y

a) 0,0
b) 2,3
c) 5,0
d) 0,3

I am a mom going crazy. I did horrible in math in school. Someone please help. Thank you

Answer 1

This is not that hard

x≥ 0 , everthing to the right of the y-axis
y≥ 0 , everthing above the x-axis
So far you are in quadrant I of the x-y plane

y ≤ 3 , everthing from the above, but also below the horizontal line y = 3

lastly y ≤ -x + 5
sketch a line leaning 45° to the left with a y-intercept of 5, shade in everthing below that line
My diagram has a simple trapezoid consisting of a
rectangle with a right-angled triangle attached

now our Objective Function is
C = -5x + 3y , which is a line with slope 5/3
letting that line go through the origin, let it slide parallel to itself over the shaded region until you reach the farthest point from the origin.
On my diagram that looks like (5,0)

Answer 2

Thank you Reiny. I also appreciate the way you explained it out for me. Can I go to you for any Honors Algebra 2 help?

Answer 3

This Quiz was hard so I'm helping the ones that needs the answers idc how ANYONE feels about cheating...…
1. C. (5,0)
2. C. 20 of type A; 20 0f type B
3. D. no solution
4. A.-5
5. D. 11 -12 7 5 12 -7
6. A. (-6,8)

Answer 4

I forgot to say this is for the Unit 4 Lesson 6 solving systems using matrices Quiz part 1

Answer 5

#1 is D. (0,3)

Answer 6

Yeah #1 is (0,3), Got me a C on the Quiz :/

Answer 7

1 is c. I listened to the other two guys.

Answer 8

find the minimum value of c=4x+3y

Answer 9

I just took the Unit 4: Lesson 6: Quiz Part 1. The answers are:

1. D (0,3)
2. A (20 of type A; 20 of type B)
3. D (no solution)
4. A (-5)
5. D (11 -12 | 7)
(5 12 | -7)
6. A (-6, 8)

These are 100% correct I just took the quiz.

Answer 10

It is not D. I got a C. The right answer is C.

Answer 11

I just took the Unit 4: Linear Systems | Lesson 6: Solving Systems Using Matrices Quiz Part 1. These are my answers.
1.) C~ (5,0)
2.) A~ 20 of type A; 20 of type B
3.) D~ no solution
4.) A~ -5
I got #5 wrong but I said C. The answer to #5 is not C. Unfortunately, it won't tell me the correct answer. :( I'm sorry. @//Just Helping says it's D.
6.) A~ (-6, 8)

I know how hard math can be, and I know how difficult it is to see the naturally more 'smart' students get rewarded while the students who work hard but can still never quite get to the same level as them get scolded. Hope this helped somebody :) Stay safe everybody

Answer 12

it is d you cant trust me im smarter than all of you.

Answer 13

Ok y'all don't listen to anyone I just took it and got an 83 because I put c it's d for 1 everything else is like normal

Answer 14

I know it is confusing but answers 2-6 are correct for the tree people who gave all the answers but number 1 is D for real just listen to us I got an 83.3%

Answer 15

No all of yall are trippin #1 is 5,0

Answer 16

You guys make no sense. Anyway maybe we have different numbers in the question... but if you have:
"Graph the system of constraints and find the value of x and y that maximize the objective function.
Constraints
{x >= 0
y >= 0
y <= 3
y <= -x+5}
Objective Function C=-5x+3y"

then the answer is (0,3) - which for me is D

this is bc you are plugging it into the objective function to see basically which coordinates get you the biggest amount for C. - so solve it yourself if you want by just taking the answer choices and plugging each x value in for x in the objective function and each y value in for y in the objective function. Make sure you are using the objective function though not any of the constraints! Also I just submitted the test and got that right. Hope that helps some. If you want more help let me know and I've got the answers to the rest if any of you would like them as well.

Answer 17

YOU GUYS I PUT D FOR QUESTION 1 AND IT WAS WRONG IT WAS (5,0)

Answer 18

if you got the objective function as "C=7x-3y" then its c which is (5,0)

Answer 19

@Just_Helping is 1000% percent correct, except some answers are represented by the wrong letter but if you look at the actual answer then you will get 100% on the Unit 4 Lesson 6 solving systems using matrices Quiz part 1. Thx

Answer 20

1-D (0,3) i put c and it’s WRONG!
2-A 20 types of a;20 types of b
3-D no solution
4-A -5
5-D 11 -12 7 5 12 -7
6-A (-6,8)
if you put c on 1 like i did you will get a 83.3% PUT D FOR #1!!!!

Answer 21

I just took unit 4 lesson 6 solving systems using matrices and 1 is most definitely c(5,0)

Answer 22

just took the quiz 1 is c not d

Answer 23

Hey so all these comments confused me because you guys are just arguing over something saying that you got #1 wrong bc you picked c… idk what test you’re taking but these are the correct answers it told me at the end.

1. (5,0)
2. 20 of type A; 20 of type B
3. no solution
4. -5
5. [11 -12 | 7]
[ 5 12 | -7]
6. (-6, 8)

If those aren’t your answers then we have different tests. Just in case this is the exact question for #1

Graph the system of constraints and find the value of x and y that maximize the objective function.

Constraints {x>=0 y>=0}
{y<=1/5x+2 5>=y+x}
Objective Function: C=7x-3y

Hope this helps <3

Answer 24

ITS (0,3) YALL GOT ME A 83 :((

Answer 25

The correct answer for #1 is NOT (0,3)! I don’t know if y’all are joking around or??? But for all those wondering the correct answer to #1 is (5,0). Do not listen to those saying it is (3,0)…you will get it wrong.

Answer 26

UNIT 4 LESSON 4 QUICK CHECK
1.D, (5,0)
2.B, 40 of type A: 80 of type B
3.C, x= 1,600; y= 0

Answer 27

its d

Answer 28

guys if your #1 has the objective function C=-5x+3y than the answer is (0,3) but if your objective function is C=7x-3y than the answer is (5,0)

Answer 29

Oml is right i had C=-5x+3y and the answer was (0,3) !!!!

Answer 30

SO i got a 83 percent so let me help you.

for the first question, if ur question is “C=-5x+3y” then u hav to put (0,3)

BUT if ur question is “C=7x-3y” then put (0.5)

Answer 31

Just took the quiz. Can confirm with confidence that the correct choice is C.

Answer 32

Just helping is right lol, don't look at the letters tho look at the answers cause the answers were all switched around for me

Answer 33

There are two different problems. if you had the one with the objective function c=-5x+3y then your answer for questions #1 is (0,3) but if you had the other one c=7x-3y your answer would be (5,0)

Answer 34

1. D (0,3)
2. A
3. D
4. A
5. D
6. A
I put C for #1 and it got me a 83%

Answer 35

Nobody is 100% correct because I just check on all the answers on Connexus.

1. (5,0)
2. 20 of type A; 20 of type B
3. no solution
4. -5
5. [11 -12 | 7]
[ 5 12 | -7]
6. (-6, 8)

Answer 36

Study is right :) 100%

Answer 37

travis' nail polish is correct :D

Answer 38

i got 100% tysm