📘 operations research

1. **State the problem:** Minimize the total manufacturing cost for Bataan Electronics Manufacturing Inc. by determining the optimal monthly production quantities of LED Light Asse

1. **Problem Statement:** We have three plants (Houston, Phoenix, Memphis) with supplies 850, 650, and 300 units respectively.

1. **بيان المشكلة:** نريد تعظيم الدالة الهدف $$Z = 2x_1 + x_2$$

1. **State the problem:** Calculate the cumulative distance based on the overall movement of material between processes for the given layout. 2. **Given data:**

1. **Problem Statement:** Roy Creasey Enterprises plans to move to a new building with 6 equal-sized rooms arranged in 2 rows and 3 columns. The flow matrix shows the number of mat

1. **Постановка задачи:** Дана транспортная задача с двумя критериями: стоимость перевозок и транспортная работа.

1. **Problem Statement:** A company produces two types of tables, T1 and T2. Each requires different hours for producing parts, assembling, and polishing. Available hours per month

1. **Problem Statement:** A car hire company has one car at each of five depots a, b, c, d, and e. A customer in each of five cities A, B, C, D, and E requires a car. The distances

1. **State the problem:** We have a transportation problem with 4 sources and 3 destinations. The costs, supplies, and demands are given. We want to find the optimal shipping plan

1. **State the problem:** We have 3 servers (workers) each with their own queue. Customers arrive at a total rate of 140 per minute, and each customer takes on average 1.1 seconds

1. **Problem Statement:** Calculate the overstock cost (Co), understock cost (Cu), critical ratio (CR), optimal cycle service level (CSL*), and optimal order quantity (Q*) for PT T

1. Muammo bayonoti: Transport masalasida to'rt ta ta'minotchi va uch ta iste'molchi mavjud. Har bir ta'minotchining mahsulot zahirasi va har bir iste'molchining talab miqdori beril

1. **State the problem:** We need to find the Initial Basic Feasible Solution (IBFS) for the given transportation problem using the North-West Corner Rule.

1. **Problem Statement:** A factory has an annual demand of 12,960 units, ordering cost of 750 per order, unit cost of 100, and inventory carrying rate of 10%. We need to find:

1. **Problem Statement:** We want to maximize the profit from producing two products, X and Y, using three machines M1, M2, and M3 with given time constraints.

1. **Problem statement:** Company X uses 4 units daily, 360 days/year. Ordering cost is 10 per order, carrying cost is 2 per unit. Current order size is 144 units.

1. **State the problem:** We need to fill the transportation table using the West-Left Corner Rule, which allocates supplies to demands starting from the top-left corner and moving

1. **Énoncé du problème :** Nous avons 3 entrepôts (A, B, C) avec des capacités respectives de 50, 60, et 50 unités.

1. **Linear Programming (LP)** is a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements are represented by linear

1. **Problem Statement:** Precision Gears Ltd. needs to create an aggregate production plan for 3 months with given demands, capacities, and costs. We use the Transportation Table

1. Muammo: Eng kam xarajatlar usulida transport masalasining boshlang‘ich tayanch rejasini topish. 2. Formulalar va qoidalar: