d)
Using your answer from part b and your equation from part c, what is the most money you can hope to earn from your business?
part c 714
part b is t=50x
To find the most money you can hope to earn from your business, we need to substitute the value of t from part b into the equation from part c.
t = 50x
714 = 50x
Divide both sides of the equation by 50:
714 / 50 = x
14.28 = x
Therefore, the maximum number of units you can sell (x) is approximately 14.28.
Now we can substitute this value back into the equation to find the most money you can hope to earn:
t = 50x
t = 50 * 14.28
t = 714
So, the most money you can hope to earn from your business is $714.
To determine the most money you can hope to earn from your business, we'll use the equation from part c, t = 714, and the equation from part b, t = 50x.
Since both equations represent the same thing (the total amount earned), we can set them equal to each other:
50x = 714
To find the value of x, we'll divide both sides of the equation by 50:
x = 714 / 50
Simplifying the equation gives:
x = 14.28
Since the number of units produced (x) represents a quantity, it cannot be a fraction. Therefore, we can round down to the nearest whole number to find the maximum number of units:
x = 14
Now, we can substitute this value back into the equation to find the maximum amount of money you can hope to earn:
t = 50x
t = 50 * 14
t = 700
So, the most money you can hope to earn from your business is $700.
To find the most money you can hope to earn from your business, we need to use the equation you provided in part b and substitute the value you calculated in part c.
The equation from part b is t = 50x, where t represents the total money earned and x represents the number of products sold.
In part c, you calculated the value of x to be 714.
To find the most money you can hope to earn, we substitute this value of x into the equation:
t = 50 * 714
Now we can calculate the total money earned:
t = 35,700
Therefore, the most money you can hope to earn from your business is $35,700.