Project 1 - Vet Clinic (1)
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School
Ferris State University *
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Course
115
Subject
Mathematics
Date
Feb 20, 2024
Type
docx
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MATH 115 - Unit 1 Project
Veterinarian Clinic
This project will incorporate ideas of linear equations, linear inequalities, and linear systems. There are rigid and flexible components to this project, as well as a reflection piece at the end.
State the names of your group members:
Ryan Turner
Nathan Brooks
Zoie Higdon
Before you begin, what has been your experience with vet clinics?
No one has gone to a vet or needed to attend to one. How do you think linear equations can be incorporated into the work that vet clinics do?
Total cost of materials and how much money they make in a day with total number of cats and dogs come that in.
Now, read through the project before attempting its completion.
Part I: Understanding the Business
You work in a veterinarian’s office, where you oversee budgeting and inventory of supplies. The
office is located in a busy Midwest town and primarily serves cats and dogs. The building that houses the clinic has two exam rooms and two attending veterinarians; this means two animals can be seen at the same time. Below are some of the services offered, along with their costs for each animal type.
Service
Cat
Dog
Spay (female)
$150
$175
Neuter (male)
$100
$125
Wellness exam
$50
$60
Rabies vaccine
$15
$15
Flea and tick treatment
$30
$45
Heartworm treatment
$50
$75
Ear infection treatment
$80
$110
1.
The vet clinic is open 12 hours per day (7am-7pm) Monday – Saturday (closed Sunday) but does close for 1 hour for lunch from 12-1pm. If appointments are offered every half hour (remember you have two exam rooms and two veterinarians on staff), how many animals can be accommodated each day? Show work.
11 x 2 = 22 11- Hours
22 x 2 = 44 Animals a day 2- Rooms
Half-hour appt.
2.
How many animals can be seen each week at your clinic? Show work.
44 x 6 = 264
Animals a week
3.
How many animals can be seen each month at your clinic? Assume a 30-day month, with
four Sundays. Show work.
264 x 4 = 1,056 Animals a month
4.
How many animals can be seen each year at your clinic? Remember, there are 365 days per year but, aside from Sundays, your clinic is also closed on New Year’s Day, Thanksgiving, and Christmas (assuming none of these are on Sundays). Show work.
44 x 314 = 13,816 Animals a year
Part II: Animal Clients
1.
A cat owner brings his new female cat in for a wellness exam. During the exam, she gets a rabies shot and is treated for heartworm. What is the total cost of the visit? Show work.
15 + 50 = $65 Total for visit 2.
A dog owner brings her male dog in to treat an ear infection and receive heartworm treatment. What is the total cost of the visit? Show work.
110 + 75 = $185 Total for visit
3.
With how busy the clinic can be, sometimes the receptionist doesn’t get to log the specific services an animal receives right away. This time, it was for a male cat. The receptionist knows that the cat’s owner paid $180 for the visit. What combinations of treatments are possible to obtain this amount? Find all possible
combinations. Show work.
Neuter, Wellness exam, Flea and tick treatment
Neuter, Heartworm, Flea and tick
Neuter, Ear infection
Wellness, Heartworm, Ear infection Part III: A focus on spay/neuter services.
1.
The owner of the clinic would like to make at least $25,000 from spay and neuter services for cats next year. Write a linear inequality based on this information, with x
being the number of female cats and y
being the number of male cats.
25,000 ≤ 150x+100y
2.
Similarly, the owner would also like to make at least $40,000 from spay and neuter services for dogs next year. Write a linear inequality based on this information, with x
being the number of female dogs and y
being the number of male dogs.
40,000 ≤ 125y + 175x
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3.
Choose one of the inequalities and graph it on the grid below, using appropriately labeled
axes and shade the appropriate region to indicate a solution. What does the shaded region mean? Please indicate which inequality you chose.
4.
25,000≤150x+100y
25,000=150x+100y
100y=25,000-150x
y=250-3/2x
25,000≤150(0)+100(0)
25,00≤0 FALSE
Part IV: Costs
It costs money to run a business. Below are the monthly expenses your clinic traditionally pays:
Expense
Average Cost
Electricity
$400
Internet
$150
Natural Gas
$100
Cleaning Supplies
$250
Exam Room Supplies (gloves, tools, etc)
$500
Medications (rabies vaccine, anesthesia, etc)
$5,000
Treats for Pets
$150
Employee Wages
$17,000
1.
What are the clinic’s total expenses each month? Show work.
400 + 150 + 100 + 250 + 500 + 5,000 + 150 + 17,000 = $23,550
2.
What are the clinic’s total expenses for the year? Show work.
23,550 x 12 =
$282,600
Part V: Charity Event
Now you know a bit about how this vet clinic operates, its services, its expenses, etc. You have a
chance to engage with a flexible component of this project. The owner of the vet clinic would like you to design a charity event. Below are the requirements. This should take you more than the remaining space to complete.
1.
You must choose a cause you wish to raise money for. Provide justification.
2.
Describe the charity event you are planning in detail, with complete sentences.
3.
Create a flyer for the event with important information (date/time of event, audience, how
money is being raised – tickets for a dinner/show, auction, etc.)
4.
Incorporate a linear equation into the spending portion of this event. Be creative!
o
Come up with a scenario that describes a linear equation. This should be in complete sentences. And provide a full solution (with context). All work must be present. Think about the party planning problems we discussed before.
5.
Incorporate a linear system in the event planning. Be creative!
o
Come up with a scenario that describes a linear system. This should be in complete sentences. And provide a full solution (with context). All work must be present.
o
This scenario could focus on spending, guest count, food options, etc. Use the examples we have discussed before as models.
2) We are doing a fun event to raise money for the Humane Society. We will have food and drink, raffles, a dog wash, dog groom, and dog treats with a photoshoot. There will be an entry fee of 10 dollars and the raffle tickets will be 2 dollars a ticket unless you get 50 then it will be 75 dollars. The pizza will range from 3 to 10 dollars and on how much you want. There will be water and soda to drink for 2.50. Anyone can come and we are dog friendly.
4) We want to raise a total of 10,000 dollars for our event. We are charging 10 dollar admission and 2 dollars per raffle tickets if we were to count one person’s entry, if one person got 20 raffle tickets how much would the price per person be if they all got the same amount of tickets?
y=2x+10
y = 2(20) + 10
y= 50
10,000/50 = 200 people 5) We want to spend more than or equal to 500 dollars. If food (x) costs 5 per person and supplies (y) costs dollars 10 dollars per person how much money can we have to spend in each category? If we sell raffle tickets (x) for 2 dollars ticket and 10 dollars for admission (y) how much will we
have to sell to make our goal. 500 ≤ 5x + 10y and 5,000 ≤ 2x + 10y 500=5x + 10y 5,000 = 2x + 10y 10y=500-5x 10y = 5,000 – 2x
y=50-1/2x y = 200- 1/5x
1)
500 ≤ 5x +10y
2)
5000 ≤ 2x + 10y
1)
y = 50 - .5x
2)
5000 = 2x + 10(50-.5x) 5000 = 2x +500-5x
5000 = -3x+500
4500 = -3x
x= -1500
3)
500 = 5(-1500) +10y
500=-7500+10y
8000=10y
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y= 800
Part VI: Extending to the C4 Framework
These must be answered in complete sentences to earn credit.
1.
What does professionalism mean to you and your group? Come up with a definition based on your ideas of this term. Do not look it up. Professionalism is a big thing to our group because it shows the way you act and the way you dress for example, we want people to wear nice clothes and act professionally at our event. The definition that we came up with is someone who acts the right way and dresses the right way but also it can mean someone who is a master at what they do.
2.
How does professionalism connect with this project? In your response, reference at least 2 ways. One way it can be represented in this
project is at the event if everyone who attends the event dresses in nice clothing so they can look professional. But another way people can be professional is by the way they act at the event by the way they talk to people and how they support the cause.
3.
What does accountability mean to you and your group? Come up with a definition based on your ideas of this term. Do not look it up. Accountability means we are each responsible for our group as a whole. However, we are also responsible for ourselves as individuals.
4.
How does accountability connect with this project? In your response, reference at least 2 ways.
Accountability connects with this project in multiple ways. For example, we are all responsible and held accountable by our group members for completing our part of our assignment as individuals but also as a group. Another example of
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accountability is our group is fully responsible for our project as a whole. Each member is required to have hands-on participation in the group.
5.
Assume a future employer was observing the work that you and your group just completed. What would they say? Would they be happy with the progress made? Would they be happy with the interaction between group members? Use these questions to fuel your response. As a group, I believe we all participated together with good communication and politely shared ideas we each had. We made good progress with the time that was provided in class. We also used time outside of class if we needed to complete more work. We all came together as a group, but also did a few things individually. If a future employer was observing our time spent on this project, I think they would be surprised how well each of us individually can work as a group and on our own.