Answer:
a) 
b) 
c)
Step-by-step explanation:
a)
We know that Revenue is our total income and cost is our total cost. Thus, profit is what's left after cost is subtracted from Income (revenue). Thus, we can say:
P(x) = R(x) - C(x)
Finding Profit Function (P(x)):
This is the profit function.
b)
The marginal profit is the profit earned when ONE ADDITIONAL UNIT of the product is sold. This is basically the rate of change of profit per unit. We find this by finding the DERIVATIVE of the Profit Function.
Remember the power rule for differentiation shown below:
Now, we differentiate the profit function to get the marginal profit function (P'):
This is the marginal profit function , P'.
c)
We need to find P'(4000) and P'(9500). So we basically put "4000" and "9500" in the marginal profit function's "x". The value is shown below:
and
Answer:
Step-by-step explanation:
The formula for slope is y2-y1/x2-x1 where y2 and x2 are the x and y coordinates from a coordinate pair and y1 and x1 are the coordinates from another coordinate pair. In this case, 2 coordinate pairs are given: (30,75) and (10, 35) 75-35/30-10 would be your slope, or, 40/20, or simplified, 2.
Your slope is 2
The lines mean that the number is going to become positive. |-178| will become positive meaning it will become= |178|
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:
Zara ate 50 almonds last week
Step-by-step explanation:
part to whole ratio is 50 : 100
150 divided by 2 is 75
100 divided by 50 is equal to 2
Zara ate 50 almonds last week
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