Answer: function
Step-by-step explanation: Here were given a relation in
the form of a graph and we're asked if it represents a function.
In this situation, we would use what is called the vertical line test.
In other words, if we can draw a vertical line that passes through more
than one point on the graph, then the relation is not a function.
In this problem, there is no way to draw a vertical
line that passes through more than one point on a graph.
Therefore, this relation must be a function.
Gillian’s Restaurant has an ice-cream counter where it sells two main products, ice cream and frozen yogurt, each in a variety of flavors. The restaurant makes one order for ice cream and yogurt each week, and the store has enough freezer space for 115 gallons total of both products. A gallon of frozen yogurt costs $0.75 and a gallon of ice cream costs $0.93, and the restaurant budgets $90 each week for these products. The manager estimates that each week the restaurant sells at least twice as much ice cream as frozen yogurt. Profit per gallon of ice cream is $4.15, and profit per gallon of yogurt is $3.60.
Required:
a. Formulate this problem as a linear program. Make sure to clearly define you variables and label your constraints.
b. Solve this model by using graphical analysis.
Answer:
P=$440Step-by-step explanation:
NOTE: kindly find attached the graphical analysis/solution.
Given the data, we are expected to maximize the profit of Gillian’s Restaurant
let X be icecream
and Y be yogurt
Our objective function is
4.15X+3.6Y=P
Constraints
a. 0.75X+0.93Y<90
b. X+Y<115
c. X>=2Y = X-2Y>=0
X>=0, Y>=0
a. 0.75X+0.93Y=90
X=0
0.75(0)+0.93Y=90
0.93Y=90
Y=90/0.93
Y=96.77
Y=0
0.75X+0.93(0)=90
0.75X=90
X=90/0.75
X=120
b. X+Y<115
X=0
X+Y=115
0+Y=115
Y=115
Y=0
X+0=115
X+0=115
X=115
c. X>=2Y = X-2Y>=0
X=0
X-2Y=0
0+2Y=0
Y=0
Y=0
X-2(0)=0
X+0=0
X=0
From the graph profit is maximum at
X=80 and Y=30
4.15(80)+3.6(30)=P
332+108=P
440=P
P=$440
We are expected to maximize the profit of Gillian’s Restaurant:
let
X = icecreamY = yogurtObjective function =4.15X+3.6Y=P
Constraintsa. 0.75X+0.93Y<90
b. X+Y<115
Part A :0.75X+0.93Y=90
X=0
0.75(0)+0.93Y=90
0.93Y=90
Y=90/0.93
Y=96.77
Y=0
0.75X+0.93(0)=90
0.75X=90
X=90/0.75
X=120
Part B:X+Y<115
X=0
X+Y=115 0+Y=115 Y=115
Y=0
X+0=115 X+0=115 X=115The graph profit is maximum at
X=80 and Y=30
4.15(80)+3.6(30)=P332+108=P440=PP=$440Find out more information about "linear program":
https://brainly.com/question/14161814?referrer=searchResults
How could you correctly rewrite the equation 6(11 – 3) = 4(7 455) using the distributive property?
18 - 66 = 20 +28
66 - 18 = 28 + 20
66 - 33 = 28 + 5
66 - 3 = 28 + 35
Answer:
B. 66-18=28+20
Step-by-step explanation:
Answer:
B.) 66 - 18 = 28 + 20
Step-by-step explanation:
An airplane takes off and then climbs 2500 feet. After 20 minutes, the airplane drops 150 feet.
What is the airplane's current height?
Answer:
2350 feet
Step-by-step explanation:
2500-150=2350
There are 39 calories in 12 fluid ounces of a tea drink. Based on the information how many calories are in 39 calories of the tea drink. Please show work!!!!!
A. 117
B.900
C.87
D.147
Answer:
117
Step-by-step explanation:
Jane babysits for $8 per hour. She earned $240 last week. This equation represents the number of hours, h, Jane babysat last week.
8h=240
How many hours did Jane babysit last week?
Answer:
30 Hours
Step-by-step explanation:
8h=240
240÷8=30
Answer:
30
Step-by-step explanation:
Because 8 x 30 = 240 or
240 Divided by 8= 30
sela
Lines a, b, c, and d intersect as shown.
rpod
covery Education
FARI Montage
R
124
95
42
53
39
95
What is x?
21x40=840, so 21x 42 =
Use mental math
Answer:
882
Step-by-step explanation:
mental math right ;)
Which graph I-IV matches with a?
Answer:
III
Step-by-step explanation:
At t = 0, x = 1.
At t = 0.5, x = 2.
At t = 1, x = 1.
The curve is symmetrical.
The graph that fits is III. x starts at 1, increases 2, then decreases at the same rate back to 1.
HELP!!! DUE IN AN HOUR!!
Answer:
measure 3 equals 121 degrees
Step-by-step explanation:
Measure 2 and 3 make a 180 angle and you subtract 59 from 180 and you get 121.
1. Find the area of the polygon, explain your process.
And this one you need to evaluate it please show your work I need help
Step-by-step explanation:
-5 + 2 - 8 - (-14) =
(-3) - 8 + 14 =
-11 + 14 =
3 =
not sure but here you go^^
what is 0.7283 written in standard form
Answer:
0.7283 written
in scientific is: 7.283×10^-1
Step-by-step explanation:
thats what i think but i'm not sure, hope you got it right sweetie!
Answer:
in scientific notation is 7.283×10^-1
Who likes me the best out of the dragon ball universe?
Answer:
meeeee
Step-by-step explanation:
Answer:
vegeta is literally the best character
Step-by-step explanation:
Porcent. Word Problems
1) Potor want to his local zoo that featured 28 bird cachibits. If these bird ochibits make up
80% of the zoo's exhibits, then how many exhibits does the zoo have in total? Round your
answer to the nearest whole number if necessary.
Answer:
There are 35 total exibits.
Step-by-step explanation:
Geometry question, look at picture
Answer:
152° = w + 73°
=> 152° - 73° = w
=> 79° = w
If my answer helped, please mark me as the brainliest!!
Thank You!!
Reasonable definitions of the decision variables are:________
a) x subscript 11 household without children under 16 and without premium subscription
x subscript 12 household without children under 16 but with premium subscription
x subscript 21 household with children under 16 but without premium subscription
x subscript 22 household with children under 16 and with premium subscription
b) x subscript 11 number of interviewed households without children under 16 and without premium subscription
x subscript 12 number of interviewed households without children under 16 but with premium subscription
x subscript 21 number of interviewed households with children under 16 but without premium subscription
x subscript 22 number of interviewed households with children under 16 and with premium subscription
c) x subscript 11 cost of interviewing a household without children under 16 and without premium subscription
x subscript 12 cost of interviewing a household without children under 16 but with premium subscription
x subscript 21 cost of interviewing a household with children under 16 but without premium subscription
x subscript 22 cost of interviewing a household with children under 16 and with premium subscription
d) All of the above are reasonable definitions.
e) None of the above.
Answer:
The correct answer is A.
Step-by-step explanation:
Decision variable are the numbers which are determined by the decision makers. This enables to identify the different possible events that might occur. The decision makers then select a number and identifies the possible occurrence of the events.
Can someone please help me with this?
Answer:
126
Step-by-step explanation:
To get the answer for this, we're going to make an algebra equation and add every angle to make 360 in total. First, we can just write the equation.
x+(x-35)+(x-46)+1/2x=360
Next, we can simplify this.
3 1/2x-81=360
3.5x-81=360
Add 81 to both sides.
3.5x-81=360
+81 +81
3.5x=441
Divide by 3.5 on both sides.
3.5x=441
/3.5 /3.5
x=126
Each x is 126.
I hope this helps!!! Have an amazing day C:
Modeling events using random numbers is known as a/an ______.
A. Census
B. Sample survey
C. Simulation
D. Experiment
Answer:
C. Simulation
Step-by-step explanation:
The answer is Simulation the modeling events using random numbers is known as a simulation option (C) Simulation is correct.
What is a survey?A survey is a means of gathering information from a sample of people using pertinent questions with the goal of understanding populations as a whole.
It is given that:
Modeling events using random numbers is known:
As we know, a simulation recreates random occurrences by specifying event outcomes with relative frequencies that match the real-world relative frequencies we're aiming to simulate using random numbers.
It's called a simulation when you use random numbers to model an event.
Modeling events using random numbers is known as a simulation.
Thus, the answer is Simulation the modeling events using random numbers is known as a simulation option (C) Simulation is correct.
Learn more about the survey here:
brainly.com/question/17373064
#SPJ2
Ok so I need help my little sister is asking me this but I dont remember how to do this stuff so could someone help ? ill give brainliest as soon as possible, thanks </3.
Answer:
the second one 253
Step-by-step explanation:
16 ÷ ( 2/5 + 2/ 3 ).
Answer:
15
Step-by-step explanation:
16 % (2/5 + 2/3) = 16 % (6/15 + 10/15) = 16 % 16/15 = 16/1 x 15/16 = 240 % 16 = 15
Answer:
15
Step-by-step explanation:
(28)/(x)*(4)/(5)+1=22
Answer:
I got -8
Step-by-step explanation:
i googled it but check it just incase
A football team loses 8 yards in one play, then loses 5 yards in the next. What is the team's total yardage for the two plays?
yards=
Answer:
13 yards
Step-by-step explanation:
the scale is evenly balanced. explain how you could find the weight ( w ) of one turtle.
Answer:
count all of the weight on the right side, subtract 4 pounds from both sides, and divide it by 2.
Step-by-step explanation:
Which number sentence is true?
O A) 196 > 10
OB) 58 > 6.85
OC) -4/ > 25
OD) 8.45 x 102 > 845
Answer:
O A / OD
Step-by-step explanation:
196 is greater than 10
8.45×102 is greater than 845
What is (2 + 4i) + (-6-4i) simplified?
please help and answer quickly
Answer:
60
Step-by-step explanation:
question 7 i mark as brainliest
9/12-1/5???What is the answer????
Answer:
0.55
Step-by-step explanation:
Answer:
11/20 or 0.55
Step-by-step explanation:
9/12
- 1/5
_____
11/20
(sorry if wrong)
7th grade help me plzz
Answer: The temperature rose 20 degrees celsius
Step-by-step explanation:
the difference between -10 and 10 is 20.
Answer: 20 degrees Celsius
Step-by-step explanation:
Explanation:it just is do the math
please solve and write an equation for the graph answer choices
question 1 rate of change 57 or .75
question 2 ordered pair (44,57) or (57,44)
question 3 equation A y=-1/2x+6
B y=-1/2x+1
C y=-1/2x+10
D y=1/2x+1
please answer every question