Question
18 Tedco produces a teddy bear that sells for
manufacture and there is an initial start-up cost of
a Write a rule for the total cost,
b If the cost of a particular
production run was
how many teddy bears were
manufactured in that run?
c If
a rule for the revenue,
received by the company.
d How many teddy bears were
sold if the revenue was
e If they want to make an annual
profit of
teddy bears do they need to sell?
manufacture and there is an initial start-up cost of
a Write a rule for the total cost,
b If the cost of a particular
production run was
how many teddy bears were
manufactured in that run?
c If
a rule for the revenue,
received by the company.
d How many teddy bears were
sold if the revenue was
e If they want to make an annual
profit of
teddy bears do they need to sell?
Ask by Nichols Harmon. in Australia
Feb 08,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
a. Total cost
b. 300 teddy bears were manufactured.
c. Revenue
d. 350 teddy bears were sold.
e. 3825 teddy bears need to be sold to achieve a profit of $54,000.
Solution
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Beyond the Answer
To calculate the total cost, we consider both the fixed start-up cost and the variable cost for each teddy bear produced. Thus, the total cost
For the production run with a cost of
Subtract
So, 300 teddy bears were manufactured in that run.
The revenue,
If we want to find out how many teddy bears were sold when the revenue was
Dividing both sides by
Thus, 350 teddy bears were sold.
Lastly, to calculate how many teddy bears they need to sell for an annual profit of
So, we want:
Simplifying, we get:
Adding
Dividing by
Therefore, they need to sell 3825 teddy bears to achieve their profit goal.
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