Answer:
The correct answer is 0.5 pounds of pollutant.
Step-by-step explanation:
According to the problem the cost of controlling emissions at a firm is given by:
C(q) = 1,260 + 100 × 
, where q is the reduction in emissions (in pounds of pollution per day) and C is the daily cost to the firm (in dollars) of this reduction.
Government clean-air subsidies amount to $100 per pound of pollutant removed per day.
Net cost = C(q) - Subsidy
⇒ Net Cost = 1,260 + 100 × - 100 × q.
In order to minimize net cost we calculate, 
(Net cost) = 0.
⇒ 200 × q - 100 = 0
⇒ q = 0.5
We can see that the second order derivative is positive and thus the net cost minimizes.
Thus the firm should remove 0.5 pounds of pollutant each day in order to minimize net cost.
Answer:
Step-by-step explanation:
Total number on the trip is 24
Let the number of girls be x
Then the boys are x + 8
So... x + x + 8 = 24
2x + 8 = 24.......... This is the equation
2x = 24 - 8
2x = 16
x = 16/2
x = 8
Number of girls = 8
And number of boys = x + 8
Which is = 8+8 = 16
Answer:
19/50
Step-by-step explanation:
If you put this in decimal form, it's 0.38.
All you have to do is convert the decimal to a reduced fraction, which is 19 over 50 (19/15).
Hope this helps you!
7/2 is 3 and a half or 3.5
3.5/7 is 1/2
Answer:
36
Step-by-step explanation:
