📘 economics

1. **Problem Statement:** We are given a 5% decrease in the price of chocolate sauce, which causes a 10% increase in the quantity demanded of chocolate sauce and a 15% increase in

1. **بيان المسألة:** عندما زاد دخل جودي من 130 إلى 170 في الأسبوع، زاد طلبها على تذاكر الحفلات بنسبة 15% وقلل طلبها على ركوب الحافلات بنسبة 10%.

1. **Problem Statement:** Judy's income increased from 130 to 170 per week. Her demand for concert tickets increased by 15%, and her demand for bus rides decreased by 10%. We need

1. Сформулюємо задачу: потрібно знайти мінімальне значення ціни $P$, при якому попит $Q(P) = 40 - 5P$ буде нейтральним. 2. Пояснимо, що означає "нейтральний" попит. Зазвичай нейтра

1. **Problem Statement:** We need to find the profit maximization for a steel firm producing $S$ units of steel and $x$ units of pollution.

1. **問題陳述**： 我們有需求函數 $p(x) = x^2 + 16$ 和供給函數 $p(x) = -x^2 + 88$，其中 $x > 0$。

1. **State the problem:** We are given the marginal revenue function $$MR(x) = 4x^3 - x^2 + 3x^2 - 4$$ (in hundreds of dollars) for selling $$x$$ hand-built bicycles. We need to fi

1. The problem involves verifying the equality \( \frac{MP_k}{P_k} = \frac{MP_l}{P_l} \) given the production function \( P = 12kl \) and marginal products \( MP_k = \frac{\partial

1. **State the problem:** Find the equilibrium price and quantity where demand equals supply. 2. **Given functions:**

1. A company finds that its profit $P(x)$ in thousands of dollars from producing $x$ units of a product is given by the quadratic function $$P(x) = -5x^2 + 300x - 2000.$$ Find the

1. Problem: Compute various price indices using the given food basket prices for years 1985, 1990, and 1995. 2. Formula: The simple price index for an item is given by

1. **Stating the problem:** We are given a table of Harga (price in thousands of Rupiah), Jumlah Permintaan (Qd), and Jumlah Penawaran (Qs) for coffee sales. We need to find the ma

1. The problem asks to find the price elasticity of demand between the equilibrium price and the new price. 2. The formula for price elasticity of demand (PED) is:

1. **Nyatakan masalah:** Diketahui fungsi permintaan $P = -Q + 15$ dan fungsi penawaran $P = 0.5Q + 9$. Pemerintah memberikan subsidi sebesar 6 untuk setiap unit barang. Kita dimin

1. **Problem Statement:** Calculate the Average Product of Labor (AP_L) and Marginal Product of Labor (MP_L) from the given Total Product (TP) data.

**1. Le chercheur compare les coûts pour estimer le coût de la main-d’œuvre familiale.** Imagine que la famille travaille comme les salariés, alors on regarde combien coûterait leu

1. **Stating the problem:** We want to calculate the price elasticity of supply, which measures how much the quantity supplied of a good changes in response to a change in its pric

1. **Problem Statement:** Find the equilibrium price $P$ and quantity $Q$ given demand $Q_d = 50 - 2P$ and supply $Q_s = -10 + 3P$. 2. **Formula and Rules:** At equilibrium, quanti

1. The problem is to apply advanced mathematical tools such as Matrix Algebra, Markov Chains, Leontief Models, National Income Models, and the IS-LM Model to analyze economic syste

1. **State the problem:** Given the Cobb-Douglas production function $$Y = A \sqrt{K} \sqrt{L}$$ with $$A=12$$, $$K=36$$, and labor $$L$$ varying from 6 to 13 units, find the Total

1. **State the problem:** We are given a Cobb-Douglas production function with productivity of resources $A=12$, capital $K=36$, and labor $L=4$. We need to find the total producti