!! While using the information below please answer the following !!

A) Define Decision Variables

B) Objection Function

C) Constraints

Linear Programming Formulation

1. Sunshine Pots . is a small manufacturer of garden statuaries whose creative director has designed two new garden gnomes to be sold this summer - the Grandpa gnome and the Grandma gnome . The gnomes require work in three departments as indicated in the table below . Each Grandpa gnome contributes $ 25 profit and each Grandma gnome contributes $ 22 profit .

The amount of time available in each department for production of gnomes is as follows : Molding , 630 hours Painting , 600 hours ; and Packaging , 135 hours .

Department

Molding, Requirement per Grandpa gnome 0.7 hour, Molding, Requirement per Grandma gnome 1 hour.

Painting, Requirement per Grandpa gnome 0.5 hour, Painting, Requirement per Grandma gnome 0.8 hour.

Packaging, Requirement per Grandpa gnome 0.10 hour, Packaging, Requirement per Grandma gnome 0.15 hour.

The Grandma gnomes appear to be more popular so production of Grandma gnomes should be at least twice that of Grandpa gnomes.

Write the linear programming formulation to help Sunshine determine the best mix of the two gnomes to produce .

1. Sunshine Pots. is a small manufacturer of garden statuaries whose creative director has designed two new garden gnomes to be sold this summer - the Grandpa gnome and the Grandma gnome. The gnomes require work in three departments as indicated in the table below. Each Grandpa gnome contributes $25 profit and each Grandma gnome contributes $22 profit. The amount of time available in each department for production of gnomes is as follows: Molding, 630 hours; Painting, 600 hours; and Packaging, 135 hours. Department Requirement per Requirement per Grandpa gnome Grandma gnome Molding 0.7 hour 1 hour Painting 0.5 hour 0.8 hour Packaging 0.10 hour 0.15 hour The Grandma gnomes appear to be more popular so production of Grandma gnomes should be at least twice that of Grandpa gnomes. Write the linear programming formulation to help Sunshine determine the best mix of the two gnomes to produce