Answer:
The value of q that maximize the profit is q=200 units
Step-by-step explanation:
we know that
The profit is equal to the revenue minus the cost
we have
---> the revenue
---> the cost
The profit P(q) is equal to

substitute the given values



This is a vertical parabola open downward (because the leading coefficient is negative)
The vertex represent a maximum
The x-coordinate of the vertex represent the value of q that maximize the profit
The y-coordinate of the vertex represent the maximum profit
using a graphing tool
Graph the quadratic equation
The vertex is the point (200,-120)
see the attached figure
therefore
The value of q that maximize the profit is q=200 units
Answer:
Step-by-step explanation:
A)
y=−2x+4
y-int:
y=−2*0+4
y=4
x-int:
0=−2x+4
2x=4
x=2
(2,4)
B)
2x+3y=6
y-int:
2*0+3y=6
3y=6
y=2
x-int:
2x+3*0=6
2x=6
x=3
(3,2)
C)
1.2x+2.4y=4.8
y-int:
1.2*0+2.4y=4.8
2.4y=4.8
24y=48
y=2
x-int:
1.2x+2.4*0=4.8
1.2x=4.8
12x=48
x=4
(4,2)
Answer: Option A
Step-by-step explanation:
A function is one to one if every element in the range (y) has only one value in the domain (x) associated to it, while a function is many to one if some values in the range (y) have more than one element in the domain (x) associated.
In this function, we can see that the function is almost linear and always increases and it is easy to see that each value of y has only one value of x associated (because the line will always increase) the correct option is A.
He sells each fish for $1.25, and he sells 24 fishes.
Multiply 24 with $1.25
24 x 1.25 = 30
He will have $30.
hope this helps
Answer: 
Step-by-step explanation:
According to the given information, we have
Sample size : n= 50


Since population standard deviation is unknown, so we use t-test.
Critical value for 95 percent confidence interval :

Confidence interval : 

Required 95% confidence interval : 