Case #3: Your friend, who doesn't know Linear Programming, just got promoted to Store Manager at a local Best Buy. Your friend needs your help determining the best use of shelf space for headphones. Best Buy carries Apple headphones and "other" non-Apple headphones, and displays all headphones across 200 square feet of shelf space. Your friend's Best Buy store has an existing contract agreement with Apple to have at least 60% of the 200 square feet of shelf space allocated to Apple headphones. In addition, your friend made an agreement to allocate at least 10% of the space to the non-Apple brands. Best Buy profits $1.20 per square foot when stocking the Apple headphones, and profits $2.00 per square foot when stocking the non-Apple headphones. While the non-Apple headphones yield a better profit margin than the Apple headphones per square foot, the Apple headphones still sell faster due to brand recognition. Please help your friend determine how much shelf space should be allocated to Apple headphones and non-Apple headphones in order to maximize profit for Best Buyyour friend's job and recent promotion depends on your help!

Write the linear programming model, including the decision variables, objective function, and constraints.