Place value through billion chart
1 answer:
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Given:
Marginal revenue (in dollars per unit) for a month is
To find:
The total revenue from the production and sale of 30 units.
Solution:
We know that, total revenue is integration of marginal revenue with respect to quantity.
Now, substitute x=30 in the equation of Total Revenue (TR).
Therefore, the total revenue from the production and sale of 30 units is $11,775.
Let the two positive numbers are x , y and there sum is s
So,
x y = 1024 ⇒⇒⇒⇒ (1)
And S = x + y ⇒⇒⇒⇒ (2)
by substituting from (1) at (2) with the value of y = 1024/x
∴ s = x +
Differentiating both sides with respect to x to find the minimum value of the sum and equating to zero
∴
solve the last equation for x
∴
⇒⇒⇒ *x²
∴ x² = 1024
∴
taking the positive number as stated in the problem
x = 32
So, The numbers are 32 , 32
And theire mimimum sum = 32 + 32 = 64
So,
x y = 1024 ⇒⇒⇒⇒ (1)
And S = x + y ⇒⇒⇒⇒ (2)
by substituting from (1) at (2) with the value of y = 1024/x
∴ s = x +
Differentiating both sides with respect to x to find the minimum value of the sum and equating to zero
∴
solve the last equation for x
∴
∴ x² = 1024
∴
taking the positive number as stated in the problem
x = 32
So, The numbers are 32 , 32
And theire mimimum sum = 32 + 32 = 64