Math Problem Statement
Suppose that you can sell as much of a product (in integer units) as you like at $43 per unit. Your marginal cost (MC) for producing the qth unit is given by:
MC=8q饾憖饾惗=8饾憺
This means that each unit costs more to produce than the previous one (e.g., the first unit costs 81, the second unit (by itself) costs 82, etc.).
If fixed costs are $350, what is the optimal integer output level?
Solution
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Math Problem Analysis
Mathematical Concepts
Economics
Optimization
Profit Maximization
Formulas
Revenue function
Marginal cost function
Profit function
Theorems
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Suitable Grade Level
College
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