1) m= -3 (13/3,0)
2) m= -2 (1/2,0)
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:
1. $3.00+42=$3.42
2. 4 Dimes , 2 Pennies
Step-by-step explanation:
2. 4 Dimes = 40 cents , 2 pennies = 2 cents
1. Add up 3.00+42 and that is how you could get the answer for number 1 .
Answer:
A=10506.25 Sq.yards
Step-by-step explanation:
Width of the park=85 yds
Lenght of the park=120 yds
Now,
A=L*W
A=120*85
A=10200 square yards. This is the area of your given rectangle.
Now,
P=2(L+W)
P=2(120+85)
P=2(205)
P=410 this is the perimeter of your given rectangle.
Now,
a=410/4=102.5
Now,calculate the area of newly given distance of each side:
A=a^2
A=102.5^2
A=10506.25 Sq. Yards
This is the new area and is larger than the area of the given rectangle which was 10200 square yards.
Answer:
88 square units
Step-by-step explanation:
