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:
<h2>Total yards of ribbon bought is 6.993yards of ribbon</h2>Step-by-step explanation:
Total pieces of ribbon James bought for his craft project = 10pieces. If each pieces of ribbon were 2.1feet long, the total number of feet for 10ribbons is expressed as;
Converting 21 feets to yards;
1 feet = 0.333yard
21feets = x
x =
Total yards of ribbon bought is 6.993yards of ribbon
Solution: The speed of old freight train is 0.5 miles per minute and the speed of new dart express train is 1.5 miles per minute.
Explanation:
Let the speed of old freight train is x miles per minute and the speed of new dart express train is y miles per minute.
It is given that the speed of the dart express train is three times faster than the freight train. So, it can be written as,
....(1)
The trains are moving towards the opposite directions, therefore the distance between them is increased at the speed of miles per minute.
The distance between both train in 15 minutes is represented by .
According to the given information the distance between trains is 30 miles in 15 minutes.
Use equation (1) and put
Put this value in equation (1), to find the value of y.
Therefore, the The speed of old freight train is 0.5 miles per minute and the speed of new dart express train is 1.5 miles per minute.