# Case study problem matrix 1 chapter 3 class 12

## Case study Chapter 3 (Matrix)

Case study 1:- Read the following and answer the question(Case study problem matrix 1)

A manufacturer produces three stationery products Pencil, Eraser and Sharpner which he sells in two markets. Annual sales are indicated below

 Market Products (in numbers) Pencil Eraser Sharpner A 10,000 2,000 18,000 B 6,000 20,000 8,000

If the unit sale price of Pencil, Eraser and Sharpner are ₹ 2.50, ₹ 1.50 and ₹1.00 respectively, and unit cost of the above three commodities are ₹ 2.00, ₹ 1.00 and ₹ 0.50 respectively, then,

(i) Total revenue of market A is

(a) ₹ 64,000              (b) ₹ 60,400

(c) ₹ 46,000               (d) ₹ 40,600

(ii) Total revenue of market B is

(a)  ₹ 35,000              (b) ₹ 53,000

(c) ₹ 50,300               (d) ₹ 30,500

(iii) Cost incurred in market A is

(a) ₹ 13,000                (b) ₹30,100

(c) ₹ 10,300                 (d) ₹ 31,000

(iv) Profit in market A and B respectively are

(a) (₹ 15,000, ₹ 17,000)          (b) (₹ 17,000, ₹ 15000)

(c) (₹ 51,000,  ₹ 71,000)          (d) (₹ 10,000, ₹ 20,000)

(v) Gross profit in both market is

(a) ₹ 23,000              (b) ₹ 20,300

(c) ₹ 32,000               (d) ₹30,200

Total revenue for market A

= 10,000×2.50 + 2000×1.50 + 18000×1.00

= ₹46000

Total revenue for market B

= 6,000×2.50 + 20,000×1.50 + 8000×1.00

= ₹ 53000

Cost incurred in market A

= 10,000×2.00 + 2000×1.00 + 18000×0.50

= ₹ 31,000

= 6,000×2.00 + 20,000×1.00 + 8000×0.50

= ₹ 36,000

Profit in market A = ₹ 46000 – ₹ 31000 = ₹ 15000

Profit in market B = ₹ 53000 – ₹ 36000 = ₹ 17000

Gross profit = Profit in market A + Profit in market B

= ₹ 15000 + ₹ 17000

Case study 2:- Amit, Biraj and chirag were giventhe task of creating a square matrix of order 2. Below are the matrices created by them. A, B, C are the matrices created by Amit, Biraj and Chirag respectively.(Case study problem matrix 2)