Solve Exercise 37.
Business and Economics
37. Production The Bronze Forge produces and ships three 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?
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