. You are asked to create an budget for supplies in your department. Your department has a maximum budget of $15,000 for paper products, office equipment, and communication devices. Each dollar value of the paper products has a productivity rating of 2, each dollar value of the office equipment has a productivity rating of 3, and each dollar value of the communication devices has a productivity rating of 5. The amount spent on paper products and communication devices can't exceed $10,000. The amount spent on office equipment must be at least $1,000. How much money should be allocated to paper products, office equipment, and communication devices to maximize the productivity rating?

Let X₁ = amount spent on paper products

X₂ = amount spent on office equipment

X₃ = amount spent on communication devices