Chad’s Pottery Barn has 24 pounds of clay to make either 24 small vases or 6 large vases. He has 16 pounds of a special glazing compound to glaze either 16 of the small vases or 8 of the large vases. Let X1 = the number of small vases and X2 = the number of large vases. The smaller vases sell for $3 each, and the larger vases would bring $9 each.
(a) Write down the objective and the constraint(s) functions.
(b) Graphically identify the feasible region.
(c) Mathematically solve the objective function for all the corners points.