Bronze Forge Co. produces and ships 3 different plates: cake plates, bread plates, and dinner plates. 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 ship. The profit on the cake plate is $15, on the bread plate is $12, and on the dinner plate is $5. The company has up to 2700 labor hours available per week. Each week, they can spend at most $1500 on materials and $1200 on shipping. How many plates in each category should the company produce to maximize their weekly profit? (a) Formulate a LP problem to Maximize Z = Weekly profit, subject to the constraints given (b) Solve the above LP problem using Excel-Solver