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Assessment – MHF4U n26+ NSA, Advanced Functions, 12, University – Virtual High School1/7/22, 8(38 AM
Instructions
You can either copy and paste these questions into a word document, or use the “Print Assignment”
button to print a hard copy for yourself. Then complete these assignment questions by hand, or in your
word processor, and upload your full solutions to the Dropbox.
Print Assignment
The ‘Dragon’s Den’ is a reality television show where entrepreneurs pitch their
business ideas in the hopes of securing an investment from the team of investors
also known as “The Dragons”.
In this activity, you are an entrepreneur pitching your new idea to the Dragon’s
Den. You will need to create one of the following options to pitch your idea:
Video
Website
PowerPoint
Written Report
You must include all calculations and graphs in whichever method you choose.
Complete the following tasks (Questions 1 – 7) for your assignment:
Question 1 (1 point)
Listen
Watch this clip from Dragon’s Den to familiarize yourself with the concept of
pitching your product to investors
https://lms.virtualhighschool.com/d2l/lms/quizzing/user/attempt/qui…i=1191210&dnb=1&cfql=1&fromQB=0&showIncorrectOnly=1&d2l_body_type=1
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Assessment – MHF4U n26+ NSA, Advanced Functions, 12, University – Virtual High School
1/7/22, 8(38 AM
http://www.cbc.ca/dragonsden/pitches/pook-toques
Question 2 (1 point)
Listen
Think of a product you would like to invent. Some of the most successful pitches
on dragons den are products created for everyday living that will make consumers
lives easier. Have you ever been completing a task and thought there has to be an
easier way? Well now is the time to explore that idea! If you are having a hard
time coming up with an idea go to the Dragon’s Den website. You may choose to
use one of these products from the show or a similar one for your project. Choose
an item that will retail between $5-$10.
http://www.cbc.ca/dragonsden/pitches/category/season-10/
Question 3 (1 point)
Listen
Now you will need to research (see instructions below) how much your idea will
cost per month and create a function in the form of C (x) = mx + b to represent it.
Here are the two different monthly costs for operating your new business. Choose
the most appropriate fit for your product:
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Assessment – MHF4U n26+ NSA, Advanced Functions, 12, University – Virtual High School
1/7/22, 8(38 AM
a) Operating and producing from home, C (x) = mx , where m is the cost of
your material and x is the number of items produced
b) Operating and producing from a storefront or factor: C (x) = mx + b, where
m is the cost of your material and x is the number of items produced and b
is your overhead costs such as rent
Question 4 (1 point)
Listen
Choose a selling price between $5-$10. Suppose on an average month you sell
500 items. For every $0.15 increase in your price you sell 10 less items.
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Assessment – MHF4U n26+ NSA, Advanced Functions, 12, University – Virtual High School
1/7/22, 8(38 AM
a) Find a function for Revenue, with respect to the number of price increases.
Your function will be R (x) = (number of products sold) x (price). It is
important to incorporate that for every $0.15 in your price you sell 10 less
items.
[Hint: First find a function for the number products sold, and a function for
the price of the item.]
b) Provide a graph for your Revenue Function.
c) Determine the roots of R (x) and interpret them in the context of the
question.
d) Determine the maximum or minimum values of R (x) and interpret them in
the context of the question.
e) Determine the domain and range of and interpret them in the context of
the question
f) Now create a revenue function with respect to the number of items sold
and the new selling price.
Question 5 (1 point)
Listen
Using your Cost and Revenue functions, find the profit function,
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Assessment – MHF4U n26+ NSA, Advanced Functions, 12, University – Virtual High School
1/7/22, 8(38 AM
P (x) = R (x) − C (x) .
Provide all of your calculations and a graph of your profit function.
Question 6 (1 point)
Listen
Now that you have your new product and all your calculations complete, it is time
to create your pitch to The Dragon’s. Remember you are trying to get them to
invest in your product so you will want to include all the selling points from your
calculations (such as your maximum profit).
You must include all calculations and graphs in whichever method you choose
to present your pitch.
Be concise, keeping it engaging and to the point (Maximum 5 pages, or 10
slides, or 8 minutes).
Question 7 (1 point)
Listen
Write a short reflection on this assignment (1-2 paragraphs). Were your results
realistic?
Were your results realistic? What did you learn from this assignment? What
was easy and what was more difficult?
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Assessment – MHF4U n26+ NSA, Advanced Functions, 12, University – Virtual High School
1/7/22, 8(38 AM
Submitting Your Assignment
This is the end of your assignment. After completing all of the questions, upload your work to the
appropriate dropbox.
Print Assignment
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