📘 economics

1. **Problem statement:** Find the market equilibrium price $p^*$ and quantity $t^*$ by solving the system where supply price equals demand price, then calculate the producer and c

1. **State the problem:** Mr. White has $50,000 and can invest it with a 70% chance to grow to $70,000 and a 30% chance to shrink to $20,000.

1. **State the problem:** Jacques has a weekly budget of 24 to spend on candy bars and eggs. Candy bars cost 2 per pack, eggs cost 6 per dozen. We want to find how many packs or do

1. The problem asks to explain the meaning of "trade 1 ten for 10 units." 2. This phrase typically refers to exchanging one item or quantity called "ten" for ten smaller units.

1. **Problem Statement:** Calculate the own-price, cross-price, and income elasticities of demand for Martabak Power using the estimated demand function and mean values of variable

1. **Problem Statement:** We want to find the number of air conditioning units $q$ that ZamFlow should produce each month to maximize profit. Given:

1. The problem is to analyze the marginal cost function $$MC = 15Q - 6Q^2 + 10$$ where $Q$ is the quantity of units produced, and there is a fixed cost of 20. 2. Marginal cost (MC)

1. **Problem statement:** We have a firm producing two goods A and B with daily cost function $$C(x,y)=0.04x^2 - 0.01xy + 0.01y^2 + 4x + 2y + 500$$ where $x>0$ and $y>0$ are units

1. **Stating the problem:** We want to understand what profit maximization means in economics and how it is determined mathematically. 2. **Definition:** Profit maximization is the

1. **Problem Statement:** We want to find the number of laptops $x$ to sell in order to maximize profit.

1. **State the problem:** We have a linear demand function with two points: price $p=220$ when quantity demanded $q=40$, and price $p=240$ when $q=30$. The total cost function is g

1. The problem: Understanding the fiscal account deficit in underdeveloped countries from 1940 to 1972 involves analyzing economic data and trends rather than solving a mathematica

1. **Stating the problem:** We need to distinguish between cardinal utility theory and ordinal utility theory using diagrams and highlight two weaknesses of each approach. 2. **Car

1. **State the problem:** A clothing company raised the price of a coat from 100 to 120, and the quantity sold decreased from 1000 to 900. We need to find the price elasticity of d

1. **State the problem:** We have a profit function $\pi = -2Q^2 + 9Q - 4$.

1. **State the problem:** We have the average cost function $AC = \frac{80}{Q} + 2 + Q$ and a linear demand function with points $(Q=1, P=29)$ and $(Q=10, P=20)$. We need to find t

1. **State the problem:** We are given the average cost function $$AC = \frac{80}{Q} + 2 + Q$$ and we want to understand its behavior. 2. **Formula and explanation:** The average c

1. **Problem Statement:** We are given the average cost function $$AC = \frac{100}{Q} + \frac{4}{\sqrt{Q}} + 3$$ and two points on the demand curve: $$A=\left(\frac{4}{3},1\right)$

1. Problem 2a: Find the equilibrium price and quantity where demand equals supply. 2. Given demand: $$Q_D = \frac{-P^2 + 5}{P + 1}$$ and supply: $$Q_S = P + 1$$.

1. **Problem Statement:** Calculate the income elasticity of demand when the price is $40 using the midpoint method. 2. **Formula:** Income elasticity of demand is given by

1. **Stating the problem:** We have a demand schedule for motel rooms with prices, quantities demanded, total revenue, and percentage changes in price and quantity. We need to veri