Ana spends Php500.00 to start a small business selling polvoron. Each polvoron costs her Php5.00 to package. she sells each polvoron for Php6.00.
1.)How much profit will she make if she sells 1,000 polvoron?
2.)Write a polynomial model for the profit she makes selling x polvoron.
1.)How much profit will she make if she sells 1,000 polvoron?
2.)Write a polynomial model for the profit she makes selling x polvoron.
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1. In general, profit is calculated as Profit = Total Sales – Total Expenses.
Total Sales = 1, 000 × 6 = 6, 000
Total Expenses = 1, 000 × 5 + 500 = 5, 000 + 500 = 5, 500
Profit = 6, 000 – 5, 500 = 500
Answer : 500
2. In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
A polynomial in a single variable x can always be written in the form:
[tex]f(x)=a_{n} {x}^{n}+a_{n-1} {x}^{n-1}+...+ a_{2}{x}^{2}+a_{1}x+a{0}[/tex]
If Anna sells x polvoron, her sales will be Total Sales = 6 × x = 6x
Expenses will be: Total Expenses = 5 × x + 500 = 5x + 500
Profit = 6x – (5x + 500) = 6x – 5x – 500 = x – 500
Answer: x – 500