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A firm has the following demand function 𝑷 = πŸ”πŸŽ βˆ’ 𝟎. πŸ“π‘Έ and its total cost are defined by 𝑻π‘ͺ = πŸπŸ‘ + 𝑸.


a. Find the maximum revenue.


b. Find the production to optimize the profit.


c. Verify if the marginal revenue and marginal cost are the same at the profit-maximizing production level.Β 


A firm has the following average cost 𝑨π‘ͺ = 𝟐𝟎𝟎 𝑸 + πŸπ‘Έ βˆ’ πŸ‘πŸ”.


a. Find the stationary point and determine if it is a maximum or a minimum.


b. Find the marginal cost function.


A Firm has the following production function 𝑸 = πŸπŸŽπ‘³ βˆ’ 𝟎. πŸ’π‘³ 𝟐.


a.Using differential calculus find the unit of labor that maximizes the production.

b. Estimate function of Marginal product of labor.


c. Obtain the Average product of labor.


d. Find the point at which the marginal product of labor is equal to the average cost.Β 


Although parking meters in urban centres may yield little revenue because of the costs of installation and the employees who check and maintain them , most cities still regard them as essential for proper traffic flow. Explain why this is so using the concepts of demand, supply and price.


1. Assess the following functions:

a. Find the stationary points.

b. Determine whether the stationary point is a maximum or minimum.

c. Draw the corresponding curves, they can be in the same graph.


1. 𝑓 β€²(π‘₯) = π‘₯ 2 + 6π‘₯ + 2


2. 𝑓 β€²(π‘₯) = 10π‘₯ βˆ’ 2π‘₯ 2 + 5Β 


5. Using the example of your favourite soft drink, explain how your demand for it can be derived from the utility you receive from its consumption.


4. A demand curve normally slopes down from left to right. What does this indicate about consumer behaviour with regard to price and quantity demanded ? How does marginal utility help to explain this consumer behaviour and thus, the direction of the demand curve ?


Complete the following print and if statements by accessing the appropriate elements from my_list. Hint: Use the list indexing notation []. print('My favorite color is', ???) print('I have {} pet(s).'.format(???)) if ???: print("I have previous programming experience") else: print("I do not have previous programming experience")


A student newspaper has determined that it’s coefficient of demand is less than one at prices below $1.25 but greater than one at prices above $1.25. Considering the product, why do you think elasticity changes?

Assign your name to the variable name.

Q2: Assign your age (real or fake) to the variable age.

Q3: Assign a boolean value to the variable has_android_phone.

Q4: Create a dictionary person with keys "Name", "Age", "HasAndroidPhone" and values using the variables defined above.

Q4b Use a for loop to display the type of each value stored against each key in person. (Optional)


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