ABCD company is an office equipment company that produces two types of desks: st

Question

ABCD company is an office equipment company that produces two types of desks: standard and deluxe. Deluxe desks have oak tops and more expensive hardware and require additional time for finishing and polishing. Standard desks require 80 square feet of pine and 10 hours of labor, while deluxe desks require 60 square feet of pine, 18 square feet of oak, and 16 hours of labor. For the next week, the company has 5,000 square feet of pine, 750 square feet of oak, and 400 hours of labor available. Standard desks net a profit of $150, while deluxe desks net a profit of $320. All desks can be sold to national chains Shops.

Explanation / Answer

The given problem can be formulated as LPP

Maximize the profit earned by the company, let x represents the number standard desks produced an y represents the number of deluxe desks produced

Max Z = 150x + 320y
subject to,
80x + 60y <= 5000
18y <= 750
10x + 16y <= 400

Solving the problem using solver gives below solution

In order to maximize the profit company should produce 25 deluxe desks only. This will result into maximum profit of $8000

Solver Solution x y Total Demand Decision Variables 0 25 PROFIT 150 320 8000 Constraint 1 80 60 1500 5000 Constraint 2 0 18 450 750 Constraint 3 10 16 400 400

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.