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What’s the minimum __
take the derivative
What is the long-run price?
P = min ATC1
What is total revenue?
P * Q
How do you find optimal level of output?
set Qd = Qs, solve for Q where P = MC
What is profit?
P * Q - TC(Q)
How to find #firms
Qs/firm output
How to find #firms exit/enter the market
Qs/firm output, subtract from OG
What is the firms' shutdown price?
MC = minAVC
How tp find Profit-maximizing price and output (non competitive)
find MC, find MR, set MR = MC, then solve for Q and P
What is normal profit price?
P = min ATC
At what price is demand unit elastic
Ed = 1
When is revenue maximized?
MR = 0
Consider the following function relating number of units (in 100) of a product sold, N, to the amount (in $10000) spend on advertising, AD.
N= -0.08 AD3+3.6 AD2-30 AD+80
b) What level of advertising generates the maximum number of units sold.?
take deriv of N, set = 0, take the 2nd deriv and plug in values
b) Find the function's point of diminishing return.
set the 2nd deriv = 0
in a competitive market, profit is maaxed when
P = MC
in a monopoly, profit is maxed when
MR = MC
monthly growth rate
g = a - 1
Determine various supply elasticities (multiply prices)
coeff * value/total
MES is where AC is minimized
MC = AC
output elasticity of cost
MC * Q / TC
When is a production function valid?
the output is non negative
in the long run
P = min ATC2
For a competitive firm with only labor as variable input:
MC = w / MPL
how to find elasticities (one price)
deriv * value/total