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.
It would be 96 ft
Cos 30*2=60 and 6 yards=18ft and 18*2 is 36 so 36+60=96
Answer: 5
Step-by-step explanation:
8+(-3)
=8-3 ⇔ you don't need to change signs when it is positive(+) outside the parenthesis
=5 ⇔ subtraction
#CarryOnLearning
Answer:
$80
Step-by-step explanation:
$5 per hour, then for 16houurs. 5*16=80
No.1
r=9
No.3
r=10.5ft
No.5
C=132m
No.7
C=25.12
No.9
44
No.11
264cm
No.13
97.34m
No.15
47.1
No.17
Am not sure
Hope this helps though