Real-Life Applications of Matrices: Profits & Revenue

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?

• 105

• 75

• 90

• 120

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?

• 50

• 100

• 110

• 80

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?

• 12

• 8

• 15

• 10

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?

• 20 hours

• 25 hours

• 15 hours

• 30 hours

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?

• 1500

• 1200

• 1000

• 1300

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?

• 1800

• 2000

• 2200

• 2500

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?

• 30

• 20

• 50

• 40

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?

• $1800

• $2100

• $1900

• $1500

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?

• 1300

• 1600

• 1200

• 1450

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?

• 15000

• 30000

• 25000

• 20000