Answer:
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Answer:
The profit will be maximum on x = 250.
Step-by-step explanation:
From the given information:
Revenue = 1500x - x²
Cost = 1500 + 1000x
As we know that
Profit = Revenue - Cost ; Let say it equation 1
Then after putting the values of revenue and cost in equation 1 we have:
Profit = (1500x - x²) - (1500 + 1000x)
Profit = 1500x - x² - 1500 - 1000x
Profit = -x² + 500x - 1500
We know that at the max or min the slope of the graph formed by the profit function will be zero, therefore we find the slope of profit function by taking the first derrivative w.r.t. x as under:
d(Profit)/dx = d/dx(-x² + 500x - 1500)
d(Profit)/dx = -2x + 500
By putting the above slope equal to zero we get:
d(Profit)/dx = -2x + 500 = 0
-2x + 500 = 0
-2x = -500
x = 250
Therefore it is concluded that the profit will be maximum when x will be equal to 250.
Answer:
A) 96
Step-by-step explanation:
The 2 base angles are both 42* thus adding up to 84*. 180-84=96
You are welcome.
Using proportions, it is found that Leanne's family should book their tickets at Section U1 to maximize their chances of having a "perfect" view.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, the section with the highest proportion of perfect views should be chosen, hence:
pL1 = 57/90 = 0.633
pL2 = 33/52 = 0.635
pL3 = 47/75 = 0.623
PU1 = 55/84 = 0.655
pU2 = 27/43 = 0.628
pU3 = 22/35 = 0.629
Leanne's family should book their tickets at Section U1 to maximize their chances of having a "perfect" view.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
<em>C = 13π ≈ 40.82 units </em>
Step-by-step explanation:
C = 2 r π = d π
AB = 
= 13 units
<em>C = 13π ≈ 40.82 units</em> ( π ≈ 3.14 )
