Answer:
The profit will be maximum on x = 250.
Step-by-step explanation:
From the given information:
Revenue = 1500x - x²
Cost = 1500 + 1000x
As we know that
Profit = Revenue - Cost ; Let say it equation 1
Then after putting the values of revenue and cost in equation 1 we have:
Profit = (1500x - x²) - (1500 + 1000x)
Profit = 1500x - x² - 1500 - 1000x
Profit = -x² + 500x - 1500
We know that at the max or min the slope of the graph formed by the profit function will be zero, therefore we find the slope of profit function by taking the first derrivative w.r.t. x as under:
d(Profit)/dx = d/dx(-x² + 500x - 1500)
d(Profit)/dx = -2x + 500
By putting the above slope equal to zero we get:
d(Profit)/dx = -2x + 500 = 0
-2x + 500 = 0
-2x = -500
x = 250
Therefore it is concluded that the profit will be maximum when x will be equal to 250.
Answer:
8x - 15
Step-by-step explanation:
You multiply the 8 and x, put the subtract sign, and add the 15, BOOM!
Answer:
Daughter age = 3 years
Step-by-step explanation:
Let x be the age of the women and y be the age of the daughter.
Given:
After five year the sum of the women and daughter age = 40
At present the sum of the women and daughter age
--------------(1)
So the sum of the present age is
The difference in their present age is 24 years.
Now we substitute x value in equation 1.
Therefore, the daughter age is 3 years.
Answer:
y = 50
Step-by-step explanation:
All triangle angles add up to 180 degrees.
To set this equation up, you need to add everything given in the triangle and set it equal to 180:
y + y + 80 = 180
<em><u>Add like terms:</u></em>
2y + 80 = 180
<u><em>Subtract 80 from both sides:</em></u>
2y + 80 = 180
- 80 - 80
___________
2y = 100
<u><em>Divide both sides by 2:</em></u>
y = 50
<u><em>If you're unsure, you can plug in the 50 for y:</em></u>
y + y + 80 = 180
50 + 50 + 80 = 180
100 + 80 = 180
180 = 180
2. is 4/2 or 2 3.is 12/4 or 3 4.is 5 wholes
