WorksheetsReal-Life Applications of Matrices: Profits & Revenue
Total questions: 10
Worksheet time: 5mins
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
