Derive United$$ Airline's best$-$response function if its marginal cost

falls

to

$$$$51$

per unit.

Part $2$

$$Initially$,$ United's marginal revenue$($derived from its residual demand$$ curve$)$ is

MR Superscript Upper UMRUequals$=339$minus$2$q Subscript Upper UqUminus$$q Subscript Upper AqA

and$$ American's marginal revenue$($derived from its residual demand$$ curve$)$ is

MR Superscript Upper AMRAequals$=339$minus$2$q Subscript Upper AqAminus$$q Subscript Upper UqU.

Part $3$

Determine$$ United's marginal revenue function corresponding to its

residual demand curve

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$.$

Part $4$

$$United$\text{'}$s marginal revenue function with marginal costs of

$$$$51$

per unit is

MR Superscript Upper UMRUequals$=339$ minus $2$ q Subscript Upper U Baseline minus q Subscript Upper A$3392$qU$$qA$.$

$($Properly format your expression using the tools in the palette. Hover over tools to see keyboard shortcuts.$$ E$.$g$.,$ a subscript can be created with the$\_$ character.$)$

Part $5$

Equate$$ United's marginal revenue function and its marginal cost to determine its

best$-$response function

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$.$

Part $6$

$$United$\text{'}$s best$-$response function with marginal costs of

$$$$51$

per unit is

q Subscript Upper UqUequals$=$enter your response here.

$($Properly format your expression using the tools in the$$ palette.$)$