Given:
Fixed cost = b = $ 42,500
Production cost (Variable cost) /unit = m = $ 6/ unit
Let 'x' represent the number of unit, therefore the variable cost will be

a) The cost function will be the sum of the fixed cost and the variable cost.

b) The revenue function is the amount the product is sold per unit.
Recall: 'x' represents the number of units.
Therefore,

Hence, the revenue function R(x) is

c) The profit function is the difference between the revenue function and the cost function.

Hence, the profit function is

d) Let us compute the profit (loss) values when the units are 6000 and 11000
Using the profit function

Therefore,

Hence,
Answer:
y = 3x^2 + 12x + 8
Step-by-step explanation:
To rewrite in standard from by expanding the equation using the distributive property.
y= 3 (x+2)^2 - 4
y = 3(x^2 + 4x + 4) - 4
y = 3x^2 + 12x + 12 - 4
y = 3x^2 + 12x + 8
Answer:
If you are looking for the slope-intercept equation, it's y=−3x−1. Hope you have a great rest of the day and stay safe, be kind, and go beyond Plus Ultra!
Answer:
A
Step-by-step explanation:
A is correct. The graph of the basic exponential function neither touches nor crosses the x-axis, whereas a linear function does cross over and can be negative for some inputs.
Answer:
5
Step-by-step explanation:
Let L be the larger number and s be the smaller one.
Then we have two equations.
(1) L – s = 25
(2) s = L/6 Multiply both sides by 6
6s = L Substitute the value for L in Equation(1)
6s – s = 25 Combine like terms
5s = 25 Divide both sides by 5
s = 5
The value of the smaller number is 5.