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AIOU Assignment 2 Solution | Business Mathematics (Code 1429) | Comprehensive Guide

Welcome to this comprehensive solution guide for Assignment No. 2 of the Business Mathematics course (code 1429) at AIOU. In this video, we’ll walk you through each problem step-by-step, ensuring you understand the key concepts and techniques required to solve them. Whether you're struggling with specific questions or just want to check your answers, this guide will provide the clarity and understanding you need to excel in your course. Our detailed explanations cover all the essential topics from this assignment, including mathematical problem-solving strategies, formula application, and effective techniques for handling complex questions. By the end of this video, you’ll be well-prepared to submit your assignment with confidence. This guide is designed specifically for AIOU students, focusing on the exact requirements of Assignment No. 2. Don't forget to like, share, and subscribe for more educational content tailored to AIOU courses. 00:23 Q.1 Burger Barns three locations sell fries, burgers and soft drinks. Brant I sells 500 orders of fries, 150 burgers and 300 soft drinks on daily basis. Bran II and Bran III sell 900 and 700 orders of fries respectively, per day. Bran II sells 440 burgers and 830 soft drinks while Bran III sells 580 burgers and 1200 soft drinks each day. (a) Write a 3 x 3 matrix that represents daily sales for all locations. (b) If fries cost $0.92 per order, burger $1.54 each and soft drink $0.58 each. Write a matrix of order 1 x 3 that represents the prices. (c) What is the total daily income from all the locations? 02:31 Q.2 (a) Solve the following system of linear equations using Matrices as well as Cramer’s rule. 2x – y + z = 5 4x +2y + 3z = 8 3x – 4y – z = 3 03:35 Q.2 (b) In a pottery factory, a machine takes 3 minutes to make a glass and 2 minutes to make a plate. The material for a glass costs $0.25 and the material for a plate costs $0.20. If the machine runs for 10 hours and exactly $50 is used up for material. How many glass and plates can be produced? 04:30 Q.3 (a) Find , f” (x) and f’’’ (x)if (i) (ii) 05:12 Q.3 (b) Find the marginal revenue product if there are 20 employees who produce x unit of a product per day, where; x = 2n(3n + 1)2 and the demand function for a product is given by 06:26 Q.4 (a) Suppose that the profit of a certain company is given by; P (x, y) = 1200 + 80x – 2x2 + 100y – y2 Where x and y represent the cost of unit of labor and unit of goods respectively. Find x and y that maximize the profit. Find the maximum profit. 07:33 Q.4 (b) Give the demand function; (iii) Determine the partial derivatives and (iv) If and , evaluate and and interpret their meaning. 08:16 Q.5 (a) Find fx, fy, fz, fyx, fxz, fzy, fy,(2, –1, 3), fyz, (–1, 1, 0). If, f(x, y, z) = 09:30 Q.5 (b) Suppose z = f (x, y) describes the cost to build a certain structure, where x represents the labor costs and y represents the cost of materials. Describe what fxand fyrepresent. #AIOU #BusinessMathematics #AIOUAssignment #AssignmentSolution #Mathematics #AIOUTutorials #AIOUCourse1429 #DistanceLearning #AIOUStudents #Education #AIOUExams #AIOUMath #AIOUStudy #OnlineLearning #StudyGuide #MathSolutions #BusinessMath #AIOUTips #AllamaIqbalOpenUniversity #StudyHelp #AIOUVideo #AIOUMathematics #MathematicsCourse #Learning #UniversityAssignments #AIOU2024 #MathHelp #AIOUStudyMaterial #AIOUTutorial #AIOUGuide #aiouguide

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