Finite math help. Thanks! Would appreciate a fast response

Create a linear programming system where constraints are stated with variables on the left side and constants on the right side. Use correct variable notation. DO NOT SOLVE just write the system. The Bronze Forge produces and ships 3 different hand-crafted bronze plates: a dogwood-engraved cake plate, a wheat-engraved bread plate, and a lace-engraved dinner plate. Each cake plate requires $15 in materials, 5 hours of labor and $6 to ship. Each bread plate requires $10 in materials, 4 hours of labor, and $5 to ship. Each dinner plate requires $8 in materials, 4 hours of labor, and $5 to deliver. The profit on the cake plate is $15, on the bread plate is $12, and on the dinner plate is $5. The company has available up to 2700 hours of labor per week. Each week, they can spend at most $1500 on materials and $1200 on delivery. How many of each plate should the company produce to maximize their weekly profit? What is their maximum profit? Objective function: Subject to