<h3>
Answer: 4865</h3>
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Explanation:
The sequence {3,11,19,...} is arithmetic since we are adding 8 to each term to get the next one
etc. This means the common difference is d = 8.
The first term is a = 3
Let's use this formula
S = n*(2*a + d(n - 1) )/2
so we can find the sum of the first n terms. In this case, n = 35
So,
S = n*(2*a + d(n - 1) )/2
S = 35*(2*3 + 8(35 - 1) )/2
S = 35*(6 + 8(34))/2
S = 35*(6 + 272)/2
S = 35*(278)/2
S = 35*139
S = 4865
Given
The demand function
To determine:
a) The revenue function.
b) The marginal revenue.
c) The marginal revenue when x=200.
d) The equation of tangent, and its derivation.
Explanation:
It is given that,
a) The revenue function is given by,
b) The marginal revenue function is,
c) The marginal revenue when x=200 is,
Hence, the marginal revenue is 3.84.
d) Let y=mx+c is the tangent.
Then,
That implies, for y=12.68, and x=200,
Hence, the equation of tangent is,
847 million ! i hope this helped :)
Answer:
Yes
Step-by-step explanation:
Question
Given that,
Total cost function, C (x) = 43x + $1850
The revenue function R (x) = $80x
To find,
The number of units that must be produced and sold to break even.
Solution,
At break even, cost = revenue
43x + $1850 = $80x
Subtract 80x from both sides.
43x + 1850 -80x = $80x -80x
1850 = 80x-43x
37x = 1850
x = 50
So, the required number of units are 50.
