The overall expenses of the factory comprise both its variable and fixed costs. The factory incurs fixed costs of $53,900 alongside variable costs of $12.50 for each unit manufactured. If we denote 
as the total number of toys produced by Toby's Tiny Toys, then the total variable costs would be 
. From here, we can conclude that the cost function for the factory is,
Conversely, if we define as the amount of toys sold, we can determine that at a selling price of $16.50, the revenue function will be,
Toby's Tiny Toys will achieve their break-even point when their total costs match the total revenue. At this point, we determine that
The company must sell 134,750 units to break even.
Answer:
The equation of the line required is y=-6x-57.
Step-by-step explanation:
The point-slope form of a line is
Here, m represents the slope of the line.
It is given that a line passes through the point (–9, –3) with a slope of –6.
By substituting m=-6, x₁=-9, and y₁=-3 into the equation above, you get:
Next, subtract 3 from each side.
Therefore, the final equation of the line is y=-6x-57.
Answer:
B - Taking the cube root of y
Step-by-step explanation:
The information provided is:
y = ax^3
Using that information
we now find the cube root of y
The computation is as follows:
y1/3 = a1/3 × x
Thus
From the above equation, a linear relationship can be observed between the cube root of y and x.
Consequently, option B is the correct choice.
Therefore, the other options are incorrect.
