Answer to supplemental problem 1

Let X1: number of hardback books produced

Let X2: number of paperback books produced

Let 1 shift = 8 hours = 480 minutes

Objective function:

Maximize Z = 10 X1 + 6 X2

Subject to:

1/4 X1 + 1/8 X2 <= 480 [cover department capacity]

1/6 X1 + 1/4 X2 <= 480 [printing department capacity]

1/3.5 X1 <= 480 [framing department capacity]

X1, X2 = 0 [non-negativity]

Answer to supplemental problem 2

Let X1: number of pounds of B22 Binder

Let X2: number of pounds of T90 Zinc Oxide

Let X3: number of pounds of P55 Petroite

Objective function:

Minimize C = 0.3 X1 + 0.2 X2 + 0.4 X3

Subject to:

X1/X3 <= 4 [ratio of B22:P55]

X2 <= 60000 [T90 availability]

X1 + X2 + X3 = 400000 [resin requirement]

X1, X2, X3 = 0 [non-negativity]

Answer to Supplemental Problem 3

Let X1: acres of Milo planted

Let X2: acres of Soybean planted

Objective function:

Maximize Profit = 500 X1 + 700 X2

Subject to:

X2 <= 100 [acreage limit for Soybean]

2000 X1 + 1000 X2 <= 200000 [fertilizer availability]

X1, X2 >= 0 [non-negativity]

Answer to Supplemental Problem 4

Let X1: No. of gross of Bobby line produced

Let X2: No. of gross of Charlie line produced

Objective function:

Maximize Profit = 1800X1 + 1000 X2

Subject to:

4 X1 + 2 X2 <= 36000 [cutting hours available]

6 X1 + 4 X2 <= 60000 [sewing hours available]

X1, X2 >= 0 [non-negativity]

Answer to Supplemental Problem 5

Let X1: No. of bracelets produced

Let X2: no. of necklaces produced

Objective function:

Maximize Profit = 40 X1 + 20 X2

Subject to:

X1 <= 4 [demand for bracelets]

3 X1 + 2 X2 <= 18 [silver availability]

2 X1 + 4 X2 <= 24 [base metal availability]

X1, X2 >= 0 [non-negativity]

Pg.701, Problem 1 

Pg. 701, Problem 2