ONLY PART B 1 & 2 NEEDED!

PART A: A chocolate maker has contracted to operate a small candy counter in a fashionable store.

To start with, the selection of offerings will be intentionally limited. The counter will

offer a regular mix of candy made up of equal parts of cashews, raisins, caramels, and

chocolates, and a deluxe mix that is one-half cashews and one-half chocolates, which will

be sold in one-pound boxes. In addition, the candy counter will offer individual one-

pound boxes of cashews, raisins, caramels, and chocolates.

A major attraction of the candy counter is that all candies are made fresh at the counter.

However, storage space for supplies and ingredients is limited. Bins are available that can

hold the amounts shown in the following table:

Ingredient Capacity (Pounds/Day)

Cashews 120

Raisins 200

Caramels 100

Chocolates 160

In order to present a good image and to encourage purchases, the counter will make at

least 20 boxes of each type of product each day. Assume that demand of the candies is

such that regardless of candy mix all candy will be sold every day. Formulate the

problem in order to maximize profit. The profit per box for the various items is as follows:

Item Profit per Box

Regular $.80

Deluxe $.90

Cashews $.70

Raisins $.60

Caramels $.50

Chocolates $.75

PART B: The chocolate maker is considering broadening his candy selection by adding two

candies to his selection: the regular candy with marshmallow topping and the deluxe

candy with marshmallow topping. He will add 0.05 pounds of marshmallow topping on

one pound of each of the regular or deluxe candies to make the new candies. Since he is

not sure whether to add these candies he will not require a certain amount be made per

day. He has space to add 10 pounds of marshmallow per day and the profit for the

marshmallow regular is $1.00/pound and the marshmallow deluxe is $1.05/pound.

Formulate the problem in order to maximize profit.

1. A typed formulation with decision variables clearly defined and all

constraints clearly defined.

2. Solve the formulation using solver