Respuesta :
P(x) = 12x – 180
Given:
A company makes and sells charm bracelets.
The cost of producing x bracelets is represented by the function C(x) = 180 +
8x
The revenue earned from selling x bracelets is represented by the function
R(x) = 20x.
Explanation of terms:
For x bracelets,
Cost of production is C(x); C(x) = 180 + 8x
Revenue earned is R(x); R(x) = 20x.Profit made is P(x); P(x) is unknown
Profit made = Revenue earned – Cost of production
∴ P(x) = R(x) – C(x)
P(x) = 20x – (180 + 8x)
P(x) = 20x – 180 – 8x
P(x) = 12x – 180
The profit made from selling x bracelets is represented by the function
P(x) = 12x – 180
The expression that represents the profit made from selling x bracelets is 12x - 180.
The number of bracelets the company must sell to break even is more than 15 bracelets
i.e x > 15.
Given,
A company makes and sells charm bracelets.
The cost of producing x bracelets is represented by the function
C(x) = 180 + 8x.
The revenue earned from selling x bracelets is represented by the function R(x) = 20x.
We need to Write and simplify a function P that represents the profit made from selling x bracelets.
We have,
The cost of producing x bracelets is represented by the function:
C(x) = 180 + 8x
The revenue earned from selling x bracelets is represented by the function:
R(x) = 20x
Let P(x) represents the profit made from selling x bracelets.
Now,
Profit = Revenue earned - the cost of production
P(x) = R(x) - C(x)
= 20x - (180 + 8x)
= 20x - 180 - 8x
= 12x - 180
The expression that represents the profit made from selling x bracelets is
12x - 180.
Now,
The number of bracelets the company must sell to break even is more than 15 braclets i.e x > 15.
Put x = 15 in 12x -180.
= 12x - 180
= 12 x 15 = 180
= 180 - 180
= 0
When x = 15 there is no profit.
Thus,
The expression that represents the profit made from selling x bracelets is 12x - 180.
The number of bracelets the company must sell to break even is more than 15 bracelets
i.e x > 15.
Learn more about functions that represent the profits of a company's sales here:
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