📘 microeconomics

1. Το πρόβλημα ζητά να βρούμε τη συνάρτηση κερδών μιας μονοπωλιακής επιχείρησης με συνάρτηση ζήτησης $$Q=50-2P$$ και κόστος ανά μονάδα 10, σταθερό κόστος 3. 2. Αρχικά, εκφράζουμε τ

1. **Δήλωση του προβλήματος:** Έχουμε τη συνάρτηση ζήτησης $Q = 50 - 2P$, όπου $Q$ είναι η ζητούμενη ποσότητα και $P$ η τιμή.

1. **Problem Statement:** Analyze the three-stage optimization problem involving quantities $q$, $q^*$ and wages $w$, $w^*$ with objective functions and first-order conditions (FOC

1. The problem asks for the total utility at the optimal consumption bundle given quantities and utilities of tulips and pizzas. 2. The optimal consumption bundle is where the tota

1. The problem asks for the total utility at the optimal bundle consumption. 2. To find the total utility, we need the utility function and the optimal consumption bundle (quantiti

1. **State the problem:** Donna consumes tulips and pizzas. Prices are 5 per tulip and 10 per pizza. Currently, she consumes 18 tulips and 9 pizzas. We need to calculate the margin

1. The problem asks for the prices and quantities of brie at points A and B on Hayden's demand curve. 2. From the bread and brie combinations graph, point A corresponds to brie qua

1. **Problem statement:** Given the utility function $$UT = 2X^{3/2}Y^{1/2}$$ with prices $$P_X = 9$$, $$P_Y = 3$$ and nominal income $$R = 480$$, find the consumer's equilibrium q

1. **Stating the problem:** Given the demand function $P=36-4Q$ and the supply function $P=18+2Q$, we need to find: (a) Equilibrium price and quantity before subsidy.

1. Problem: We have demand: $P=30-2Q$ and supply: $P=6+Q$. We want to find equilibrium price and quantity before and after tax, new supply function, tax burden division, and graph.

1. Masalah: Diberikan dua fungsi kuantitas $Q$ berupa (a) $Q = 50 - 5P$ dan (b) $Q = 22 + 2P$. Tentukan mana fungsi demand dan supply, lalu temukan market equilibrium. 2. Identifi

1. **Problem Statement:** Calculate the equilibrium prices and quantities for a two commodity market model. 2. **Step 1: Define demand and supply functions for each commodity.**

1. **Problem statement:** We analyze the returns to scale from the given table of output (Q) outputs for different combinations of labour (L) and capital (K). 2. **Returns to scale

1. **Problem Statement:** Analyze the effects on demand and supply curves for the "Island Escape" tour package under different scenarios including price changes, endorsements, and

1. **Problem:** Given the Cobb-Douglas production function $$Q = L^\alpha K^\beta$$ with $$\alpha = \beta$$ and total cost $$TC = wL + rK$$, write the profit function. 2. **Step 1:

1. **Stating the problem:** We have a Cobb-Douglas production function $$Q = L^\alpha K^\beta$$ with $$\alpha = \beta$$, and a total cost function $$TC = wL + rK$$. We want to:

1. Stating the problem: We need to graph a typical indifference curve for a utility function. An indifference curve shows combinations of goods that provide the same utility level.

1. Problem: Investigate the convexity of indifference curves and the behavior of the Marginal Rate of Substitution (MRS) for each utility function. A typical indifference curve is

1. **State the problem:** Given the utility function $$u(x_1, x_2) = 2x_2$$, interpret and analyze it. 2. **Interpretation:** The utility function depends only on the variable $$x_