0541-122 Final Solved Questions & Study Guide (Spring 2026)

0541-122 Business Mathematics Final Exam Solved Questions — Semester Summer 2025 (DIU BBA)

Introduction

Business Mathematics (Course Code: 0541-122) is a core subject in the BBA program at Daffodil International University (DIU), designed to equip students with essential quantitative skills for real-world business decision-making. This course covers critical topics such as linear equations, cost-volume-profit analysis, break-even points, and optimization problems, all of which are fundamental for future managers, entrepreneurs, and financial analysts.

For DIU BBA students, mastering these concepts is not just about passing exams—it’s about developing the ability to analyze business scenarios, optimize resources, and make data-driven decisions. Practicing past final exam questions, like those from the Summer 2025 Business Mathematics final, helps reinforce understanding, improve problem-solving speed, and reduce exam anxiety. This solved guide provides step-by-step solutions to every question from the 0541-122 final exam, ensuring you grasp the underlying concepts while preparing effectively for your own assessments.

Exam Overview & Mark Distribution

The Business Mathematics (0541-122) Final Exam for Summer 2025 consists of 4 questions, totaling 40 marks, to be completed in 2 hours. The questions assess CLO 1, CLO 2, and CLO 3 at varying difficulty levels (Level 2 to Level 4). Below is the mark distribution:

• Question 1: Linear programming (optimization) – 5 marks
• Question 2: Cost, revenue, and profit analysis – 8 marks (subparts a–d)
• Question 3: Break-even analysis and cost/revenue functions – 5 marks
• Question 4: Linear equations and break-even charts – 2 + 3 = 5 marks

Solved Questions

Question 1: Workshop Chair Production (Optimization Problem)

A workshop makes two types of chairs: wooden chairs and plastic chairs. Making one wooden chair takes 20 minutes and costs $8. Making one plastic chair takes 10 minutes and costs $5. If the workshop has 2500 minutes of labor and a budget of $1200, identify the number of each type of chair that can be made.

Solution Steps:

1. Define Variables:

- Let \( x \) = number of wooden chairs

- Let \( y \) = number of plastic chairs

1. Formulate Constraints:

- Labor constraint: \( 20x + 10y \leq 2500 \) (minutes)

- Budget constraint: \( 8x + 5y \leq 1200 \) (dollars)

- Non-negativity: \( x \geq 0, y \geq 0 \)

1. Simplify Constraints:

- Labor: \( 2x + y \leq 250 \) (divide by 10)

- Budget: \( 8x + 5y \leq 1200 \)

1. Find Feasible Solutions (Corner Points):

- Intersection of labor and budget constraints:

Solve \( 2x + y = 250 \) and \( 8x + 5y = 1200 \).

From the first equation: \( y = 250 - 2x \).

Substitute into the second: \( 8x + 5(250 - 2x) = 1200 \)

\( 8x + 1250 - 10x = 1200 \)

\( -2x = -50 \) → \( x = 25 \)

\( y = 250 - 2(25) = 200 \)

Corner point: (25, 200)

- Budget constraint with \( x = 0 \):

\( 8(0) + 5y = 1200 \) → \( y = 240 \)

Corner point: (0, 240)

- Labor constraint with \( y = 0 \):

\( 2x + 0 = 250 \) → \( x = 125 \)

Corner point: (125, 0)

1. Verify Feasibility:

- (25, 200): \( 8(25) + 5(200) = 200 + 1000 = 1200 \) (valid)

- (0, 240): Exceeds labor limit (\( 10 \times 240 = 2400 \leq 2500 \), valid)

- (125, 0): \( 8(125) = 1000 \leq 1200 \), valid

1. Optimal Solution:

The workshop can produce 25 wooden chairs and 200 plastic chairs without exceeding labor or budget limits.

Question 2: Cost, Revenue, and Profit Analysis

*The total cost \( C \) of producing \( q \) units of a