Math Problem Statement
Solution
The given function for the florist's monthly profit is:
where represents the number of bridal bouquets sold.
We need to calculate the monthly profit when the florist sells 12 bouquets, i.e., substitute into the function.
First, calculate , then substitute:
So, the florist's monthly profit from selling 12 bouquets is $2034.
Would you like further details on the steps?
Here are 5 follow-up questions:
- How does the profit function change if the cost per bouquet increases?
- What is the minimum number of bouquets the florist must sell to break even?
- Can this quadratic function have a maximum or minimum point? If so, where?
- What would the profit be if she sells 20 bouquets?
- How can you graph this quadratic function to visualize the profit for different sales?
Tip: For quadratic functions like this, if the coefficient of is positive, the parabola opens upwards, indicating a minimum point.
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Math Problem Analysis
Mathematical Concepts
Algebra
Quadratic Functions
Profit Calculation
Formulas
p(x) = 15x^2 - 10.5x
Theorems
Substitution of a specific value into a function
Suitable Grade Level
Grades 9-10
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