4. A hand-thrown pottery shop manufactures plates, cups, and vases. Each plate requires 4
ounces of clay, 6 minutes of shaping, and 5 minutes of painting; each cup requires 4 ounces of
clay, 5 minutes of shaping, and 3 minutes of painting, and each vase requires 3 ounces of clay, 4
minutes of shaping, and 4 minutes of painting. This week the shop has 165 pounds of clay, 59
hours of skilled labor for shaping, and 46 hours of skilled labor for painting. If the shop manager
wishes to use all these resources fully, how many of each product should the shop produce?
Note...1 pound is 16 ounces and 1 hour is 60 minutes. YOU MAY USE TECHNOLOGY TO SOLVE
THE RESULTING SYTEM. You do NOT need to solve it by hand.