Optimal Allocation without a Tangency Point
A student has a total of 8 hours to prepare for two final exams: History and Chemistry. For this student, the marginal benefit of studying for History (the extra points gained on the exam from one additional hour of study) is a constant 5 points per hour. The marginal benefit of studying for Chemistry is a constant 3 points per hour. The student's goal is to maximize the total number of points gained across both exams. Explain why the common optimization approach of finding a point where the marginal benefits are equal is not applicable here, and determine the optimal allocation of the 8 study hours.
0
1
Tags
Science
Economy
CORE Econ
Social Science
Empirical Science
Economics
Introduction to Microeconomics Course
The Economy 2.0 Microeconomics @ CORE Econ
Ch.5 The rules of the game: Who gets what and why - The Economy 2.0 Microeconomics @ CORE Econ
Analysis in Bloom's Taxonomy
Cognitive Psychology
Psychology
Related
Corner Solution
A farmer is deciding how many hours per day to spend on leisure (
t), where the possible range is0 ≤ t ≤ 16. The remaining hours are spent working to produce grain. For any choice oftwithin this range, the farmer's marginal rate of substitution (the amount of grain they are willing to give up for an extra hour of leisure) is always greater than their marginal rate of transformation (the amount of grain they would actually lose by taking an extra hour of leisure). Given this information, what is the farmer's optimal number of leisure hours?Profit-Maximizing Advertising Budget
Profit-Maximizing Advertising Budget
Optimal Allocation Decision
A firm is choosing its level of production,
q, which can be any value between 0 and 100 units. For any level of production in this range, the marginal revenue gained from selling one more unit is always less than the marginal cost of producing it. Based on this, the firm's profit-maximizing strategy is to find the production level within the 0-100 range where the difference between marginal cost and marginal revenue is smallest.Optimal Allocation without a Tangency Point
Optimal Study Time Allocation
Analyzing an Optimization Problem with a Boundary Solution
Optimal Time Allocation without an Interior Solution
An individual is deciding on an amount of an activity (
x) to undertake, where the feasible range is0 ≤ x ≤ 100. For each scenario below describing the relationship between the marginal benefit (MB) and marginal cost (MC) of the activity, match it to the optimal choice ofxthat maximizes net benefit. Assume that forx > 0, MB is a decreasing function ofxand MC is an increasing function ofx.