Calculating profit-maximizing price and output
Coke
PL=$40-$0.0005QL
MRL= dTRL/ dQL =$40-$0.001QL
Pepsi
PT=$50-$0.0004QT
MRT=dTRT/dQT = $50 - $0.0008QT
Average variable costs for labor and materials are constant at $20 per unit.
1. Calculate the profit-maximizing price, output, and total profit contribution levels.
2. Calculate point price elasticities of demand for each customer product at the activity levels identified in part A.
https://brainmass.com/economics/price-levels/calculating-profit-maximizing-price-output-287147
Solution Preview
1. Calculate the profit-maximizing price, output, and total profit contribution levels.
Coke
Marginal Cost=Constant variable cost per unit=$20
Marginal Revenue=MRL=$40-$0.001QL
A firm sets its output level such that Marginal Cost is equal to marginal revenue to maximize its profits.
Put Marginal Cost=Marginal Revenue
20=40-0.001Q
0.001Q=40-20=20
Q=20/.001=20000 units
Price=PL=40-0.0005*20000=$30
Total ...
Solution Summary
The solution describes the steps to calculate profit-maximizing price, output, total profit contribution levels and associated price elasticity of demand.