# Ex 12.2, 8

Last updated at May 29, 2018 by Teachoo

Last updated at May 29, 2018 by Teachoo

Transcript

Ex 12.2, 8 A merchant plans to sell two types of personal computers – a desktop model and a portable model that will cost Rs 25000 and Rs 40000 respectively. He estimates that the total monthly demand of computers will not exceed 250 units. Determine the number of units of each type of computers which the merchant should stock to get maximum profit if he does not want to invest more than Rs 70 lakhs and if his profit on the desktop model is Rs 4500 and on portable model is Rs 5000. According to Question : Monthly demand of both items = maximum 250 Units ∴ x + y ≤ 250 Also, Cost of Desktop = Rs 25000 Cost of Computers = Rs 40000 Max Investment = Rs 70,00,000 Hence, 25000 x + 40000 y ≤ 70,00,000 ⇒ 5x + 8y ≤ 1400 As we need to Maximize Profit, Hence, Function Used here will be Maximize Z Profit On Desktop → Rs 4500 Profit on Computers → Rs 5000 ∴ Maximize Z = 4500 x + 5000y. Combining all Constraints Max Z = 4500 x + 5000y Subject to Constraints x + y ≤ 250 5x + 8y ≤ 1400 x ≥ 0 , y ≥ 0 Hence, the Profit will be maximum if company Produces : Number of Desktops → 200 Number of Portable Computers → 50 Max. Profit → Rs. 11,50,000

Class 12

Important Question for exams Class 12

- Chapter 1 Class 12 Relation and Functions
- Chapter 2 Class 12 Inverse Trigonometric Functions
- Chapter 3 Class 12 Matrices
- Chapter 4 Class 12 Determinants
- Chapter 5 Class 12 Continuity and Differentiability
- Chapter 6 Class 12 Application of Derivatives
- Chapter 7 Class 12 Integrals
- Chapter 8 Class 12 Application of Integrals
- Chapter 9 Class 12 Differential Equations
- Chapter 10 Class 12 Vector Algebra
- Chapter 11 Class 12 Three Dimensional Geometry
- Chapter 12 Class 12 Linear Programming
- Chapter 13 Class 12 Probability

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.