Answer:1/4
Step-by-step explanation:
Answer:
The correct answer is there are 3 cages and 4 tigers.
Step-by-step explanation:
Let there be x cages and y tigers.
According to the first condition, if we put one tiger in each cage, one tiger is left over.
∴ y - x =1
According to the second condition, if we put two tigers in each cage, one cage is left over.
∴ x -
=1
⇒ 2x - y = 2
Therefore adding both the equations we get,
y - x + 2x - y = 2 + 1
⇒ x = 3
⇒ y = 4
Therefore there are 4 tigers and 3 cages.
The revenue is given by the unit price * number of units.
Profit = Revenue - Cost = 200x - 500,000 - 80x - 0.003x^2 = 120x - 500,000 - 0.003x^2
For profit to be maximum dP/dx = 0
120 - 0.006x = 0
x = 120/0.006 = 20,000
Therefore, to maximize profit, the firm should produce 20,000 penicillin.
Answer:
13.6
Step-by-step explanation:
The measure of the segment AQ is related to the measure of the segment A'Q by the dilation factor as follows:
dilation factor = A'Q/AQ
AQ = A'Q/dilation factor
Replacing with data:
AQ = 2.4/0.15 = 16
Then, the distance between points A and A' is
x = 16 - 2.4 = 13.6