This is a question from my homework:

The XYZ Furniture Company produces three styles of tables: Urban Chic, Country, and Modern.The manager has formulated the following linear programming model for table production.

U = the number ofUrban Chic style tables to produce

C = the number of Country style tables to produce

M = the number ofModern style tables to produce

Maximize profit =325U + 150C+ 275M

Subject to:

Labor4U + 3C +5M <= 160 hours

Metal2U + 1C + 3M <= 100 pounds

Wood2U+2.5C + 2M <=110 boardfeet

Modern contractM >= 20

U, C, M >= 0

Briefly explain, describe or define these parts of the model:

a.U, C, and M

b.The 325 in the objective function

c.The product 4U in the labor constraint

d.The 3 in the metal constraint

e.The 110 in the wood constraint

f.The 20 in the Modern contract constraint

g.U, C, M >= 0