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Real-Life Applications of Matrices: Profits & Revenue

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

A company produces two products, A and B. The profit from each product can be represented by the matrix P = [[3, 5], [4, 2]]. If they sell 10 units of product A and 15 units of product B, what is the total profit?

a)

105

b)

75

c)

90

d)

120

2.

A school has two classes, Class 1 and Class 2. The number of students in each class can be represented by the matrix S = [[25], [30]]. If each student requires 2 textbooks, how many textbooks are needed in total?

a)

50

b)

100

c)

110

d)

80

3.

A store sells two types of fruit, apples and bananas. The price per kilogram can be represented by the matrix C = [[2], [1.5]]. If a customer buys 3 kg of apples and 4 kg of bananas, what is the total cost?

a)

12

b)

8

c)

15

d)

10

4.

A transportation company has two routes, Route 1 and Route 2. The time taken for each route can be represented by the matrix T = [[1.5], [2]]. If a vehicle travels 10 times on Route 1 and 5 times on Route 2, what is the total time spent?

a)

20 hours

b)

25 hours

c)

15 hours

d)

30 hours

5.

A restaurant has two types of meals, vegetarian and non-vegetarian. The number of meals sold can be represented by the matrix M = [[40], [60]]. If each vegetarian meal costs $10 and each non-vegetarian meal costs $15, what is the total revenue?

a)

1500

b)

1200

c)

1000

d)

1300

6.

A factory produces two types of gadgets. The production rate can be represented by the matrix R = [[100], [150]]. If the factory operates for 8 hours a day, how many gadgets are produced in a day?

a)

1800

b)

2000

c)

2200

d)

2500

7.

A delivery service has two types of packages, small and large. The weight of each package can be represented by the matrix W = [[2], [5]]. If a delivery truck carries 10 small packages and 4 large packages, what is the total weight?

a)

30

b)

20

c)

50

d)

40

8.

A gym has two types of memberships, basic and premium. The number of members can be represented by the matrix N = [[50], [30]]. If the basic membership costs $20 and the premium costs $30, what is the total income from memberships?

a)

$1800

b)

$2100

c)

$1900

d)

$1500

9.

A farmer grows two crops, corn and wheat. The yield per acre can be represented by the matrix Y = [[200], [150]]. If the farmer has 5 acres of corn and 3 acres of wheat, what is the total yield?

a)

1300

b)

1600

c)

1200

d)

1450

10.

A concert hall has two sections, VIP and regular. The number of seats in each section can be represented by the matrix H = [[100], [200]]. If the ticket prices are $100 for VIP and $50 for regular, what is the total revenue from a sold-out concert?

a)

15000

b)

30000

c)

25000

d)

20000