📘 operations research

1. **State the problem:**\nWe want to maximize the total revenue from developing mobile applications ($x$) and web applications ($y$) given resource constraints on programming and

1. **State the problem:** We need to find the quantity back-ordered per replenishment cycle in an EOQ model with planned shortages. 2. **Given data:**

1. **Problem Statement:**\nWe have two products: Circuit Boards (let $x$ be the number of Circuit Boards) and Microcontrollers (let $y$ be the number of Microcontrollers).\n\n2. **

1. **State the problem:** We want to maximize the total weekly profit from producing Circuit Boards and Microcontrollers given constraints on soldering time, inspection time, and w

1. **Problem Statement:** Use the Dominance Method to eliminate dominated strategies from the given payoff matrix and determine if the game is a Mixed or Pure Strategy game.\n\nThe

1. **State the problem:** We want to determine the optimal number of Short pant A and Short pant B to produce to maximize profit, given labor hour constraints in the trimming and f

1. **Problem Statement:** Sunshine House has 5 production lines and 5 types of cookies. Each cookie must be assigned to exactly one production line to minimize the total sum of com

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: