Electric current flowing through wire produces heat that
1 answer:
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Answer:
The cost function is .
The revenue function is .
The profit function is .
Step-by-step explanation:
We have the following definitions:
The cost function is a mathematical formula that gives the total cost to produce a certain number of units. It consists of variable costs and fixed costs and is given by
If units are sold and the price per unit is
, then the total revenue is
and is called the revenue function.
If units are sold, then the total profit is
and is called the profit function.
Applying the above definitions we get that:
We know that the company has fixed monthly costs of $130,000 and production costs on its product of $32 per unit.
Therefore,
The cost function is .
We know that the company sells its product for $66 per unit.
Therefore,
The revenue function is .
The profit function is
The value of the exponents in simple exponential form is .
The mathematical operation of exponentiation, written as bⁿ, involves the base number (b) and the exponent (or power) number (n). The way to say this word is "b (elevated) to the (power of) n."
- Exponentiation corresponds to repeated base multiplication when n is a positive integer since bⁿ is the outcome of multiplying n bases. The exponent is often displayed to the right of the base as a subscript.
- The phrase "b to the nth power" or simply "b to the nth" is used to refer to bn. Other variations are "b (raised) to the power of n," "the nth power of b," and "b to the power of n" and "b to the nth power,"
The properties of exponents tell us that when the bases are equal then on multiplication the powers are added and on division the powers are subtracted.
Therefore the properties of exponents can be used to find the exponential solutions.
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