Key Principle: A rational consumer maximizes total utility by allocating their income such that the marginal utility per dollar spent on each good is equal ((MUA)/(PA) = (MUB)/(PB)
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the solutions to the economics problems based on the provided table:
Key Principle: A rational consumer maximizes total utility by allocating their income such that the marginal utility per dollar spent on each good is equal ($$\frac{MU_A}{P_A} = \frac{MU_B}{P_B}$$) and all income is spent. When making sequential consumption decisions, the consumer will always choose the unit of the good that provides the highest marginal utility per dollar.
First, let's list the marginal utility per dollar ($MU/P$) for each unit of both commodities:
Commodity A ($P_A = 10$):
$Q_A=1: MU_A/P_A = 150/1
