Supose that delta and US Airways are separate and compete in the newy York, Los angeleles route. They have to decide how many discount seats to sell. The price is determined by the next formula P=200-0.10(qd+qu) where qd and qu are the discount seats in delta and US airways. The marginal cost of the route is $100 for delta and $50 for US airways. a. Find the quantities and profits for each company 1. Formulate the equations for maximization for each company Find the partiad derivative for each q and find qd and qu 2. 3. Substitute qd(quantity delta) y qu and find qu(quantity us airways) 4. Substitute qu y qd and find qd 5. Substitute qd and qu in the price function(p=200-0.10(qd+qu)) and find the price 6. Find the profit by substituting the values of p and q in the profit function

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
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Supose that delta and US Airways are separate and compete in the newy York, Los angeleles
route. They have to decide how many discount seats to sell. The price is determined by the next
formula P-200-0.10(qd+qu) where qd and qu are the discount seats in delta and US airways.
The marginal cost of the route is $100 for delta and $50 for US airways.
a. Find the quantities and profits for each company
1. Formulate the equations for maximization for each company
Find the partiad derivative for each q and find qd and qu
2.
3. Substitute qd(quantity delta) y qu and find qu(quantity us airways)
4. Substitute qu y qd and find gd
5. Substitute qd and qu in the price function(p=200-0.10(gd+qu)) and find the price
6. Find the profit by substituting the values of p and q in the profit function
Formulas
Profit or (pi) total revenue - total profit
Total revenue price quantity
Pax 11 354 1
Transcribed Image Text:Supose that delta and US Airways are separate and compete in the newy York, Los angeleles route. They have to decide how many discount seats to sell. The price is determined by the next formula P-200-0.10(qd+qu) where qd and qu are the discount seats in delta and US airways. The marginal cost of the route is $100 for delta and $50 for US airways. a. Find the quantities and profits for each company 1. Formulate the equations for maximization for each company Find the partiad derivative for each q and find qd and qu 2. 3. Substitute qd(quantity delta) y qu and find qu(quantity us airways) 4. Substitute qu y qd and find gd 5. Substitute qd and qu in the price function(p=200-0.10(gd+qu)) and find the price 6. Find the profit by substituting the values of p and q in the profit function Formulas Profit or (pi) total revenue - total profit Total revenue price quantity Pax 11 354 1
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