ONLY ANSWER THESE TWO QUESTIONS BASED ON THE INFO BELOW:

1. How many Total constraints are there including the non-negativity constraint?

2. Please show the mathematical formation for the LP problem.

Objective Function

S.t.

Constrains

1

2

3 ...

Non-Negativity Constraint

Dunder Mifflin supplies paper to corporate clients. An important client needs 1500 reams of paper. Dunder Mifflin can procure the paper from several suppliers. The characteristics of the suppliers are as follows: Cost Delivery Reams Supplier per Time Available Ream 3.50 5 200 B 2.00 10 600 C 6.50 15 600 D 5.00 4 200 4.00 6 200 When procuring the paper, Dunder Mifflin needs to ensure the following conditions are satisfied: (a) The client requires that at least 500 of the 1500 reams be delivered within the next 7 days. (b) In order to maintain good relations with Supplier C, Dunder Mifflin must order at least 100 reams from them. (c) Because of a rivalry between supplier B and D, Dunder Mifflin must order at least as many reams from supplier D as they do from supplier B. (d) Each supplier has a limited number of reams of paper available, as shown in the table. Formulate a linear optimization model to help Dunder Mifflin procure the paper at the lowest cost. a (You don't need to find the optimal solution to the model you formulate.) HINT - Let A be the number of reams to order from Supplier A, B be the number of reams to order from Supplier B, etc. The first constraint is that the client needs 1500 reams. If Dunder Mifflin procures less than that, the client's needs won't be met. Can Dunder Mifflin procure more than 1500? There doesn't seem to be a reason why not. They could always keep the extra on hand for the next client