Business Mathematics Final Summer 2026 Question Paper

Examination: Final Semester: Şumumer-26 Time: 2 Hours Course Code: 0541-122 Section: All Full Marks: 40 Course Title: Business Mathematics Teachers' Initial: DSAS, Sushanta, AA Answer the following questions 1. A company produces and sells smart home security devices to households and small businesses. The company has a linear total cost structure with a fixed cost of $95,000 per year for equipment, office rent, salaries, and advertising. The variable cost is $85 per device, while each device is sold for $140. a) Develop the Revenue, Cost, and Profit functions using q for the number of devices produced and sold, CLO 2 L-З b) Calculate the variable cost when 1,500 devices are produced c) Determine the average cost per device when 2,000 devices are produced. d) Identify the variable cost per device. e) Determine the profit or loss when 1,000 devices are produced and sold. f) Calculate the number of devices that must be sold to earn a profit of $20,005. g) Due to limited production capacity, the company can produce a maximum of 3,000 devices this year. Using the profit function analyze whether producing the maximum number of devices would be profitable. CLO 3 L-4 2 2. A furniture company manufactures two types of products: office desks and bookshelves. Each desk requires 40 minutes of assembly time and 10 minutes of finishing time, while each bookshelf requires 30 minutes of assembly time and 5 minutes of finishing time. The company has a total of 4,000 minutes of assembly time and 700 minutes of finishing time available each week. Due to limited resources, the company must carefully plan its weekly production to stay within these available time limits. Calculate the number of desks and bookshelves the company can produce within the given resource constraints. CLO 2 L-3 3. a) Explain the break-even point with a break-even chart. b) Show this linear equation 4x + 5y = 25 in slope-intercept form by identifying slope and y-intercept. CLO ! L-2