A scale drawing of a school bus has a scale of 1/2 inch to 5 feet. If the length of the school bus is 4 1/2 inches on the scale
1 answer:
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Answer:
Quantity = 59 units
Price = $111
Step-by-step explanation:
The Demand function is given by
The Marginal cost is given by
We are asked to find the quantity and price of goods.
Firstly, obtain the Marginal revenue function from the demand function
The Total revenue is given by
The Marginal revenue is the derivative of the Total revenue,
Assuming that the monopolist maximizes profits,
Therefore, the quantity is 59 units.
The price of each good is
Therefore, the price is $111.
Answer:
781250
Step-by-step explanation:
Let y is the length of the farm field
Let x is the width of the farm field
Given that, no fencing is necessary along the rock wall, so we can find the perimeter of the farm is:
2x + y = 2500 feet
<=> y = 2500 -2x
The are of the farm has the following formula:
A = x*y
<=> A = x(2500 - 2x)
<=> A = 2500x -2
To have the maximum area of field in square feet, we need to use differentials to estimate:
= 2500 - 4x
Set = 0, we have:
2500 - 4x = 0
<=> x = 625 feet.
=> y = 2500 - 2*625 = 1250 feet
So the maximum area of field is:
A = x*y = 625*1250 = 781250