Question (1):Based on what you have studied about Transportation models, answer the following problem:

The Hard rock concrete company has enterprises in three locations and is currently working on three major constructions sites, each located at a different site. The shipping cost per truckload of concrete, daily plant capacities, and daily project requirements are provided in the table below.

a-Formulate as a linear program. (4 marks)

b-Use the Northwest corner method to determine the least cost way to meet the requirements.

(6 marks)

To

Site A

site B

site C

Capacity

Enterprise 1

$10

$4

$11

70

Enterprise 2

$ 12

$5

$8

50

Enterprise 3

$9

$7

$6

30

Requirements

40

50

60

Question 2:Answer the following questions:

Part1. Put the suitable term between brackets

1-Assigning staff to a fast food restaurant is an example of (____________________).

2-A large city is planning for the Olympic Games. The transportation system is being evaluated to determine what expansion is needed to handle the large number of visitors to the games. Which of the following models would most help the city planners to determine the capacity of the current system? (___________________________)

Part2. Develop your own set of constraint equations and inequalities and use them to illustrate graphically each of the following conditions: (8 marks)

a.Unbounded problem

b.An unfeasible problem

Question 3:Answer the following problem:

Dell computers Company is promoting to its products with 3 types of advertisements (Billboards, Morning news, and Radio). Dell computers company wants to have at least 5 advertisements per day, but spend no more than $ 50 000 as the company budgeted up. The company wants to maximize the audience exposure. Formulate using Linear Programming.

The following Data are given:

Ad Type

Estimated Audience reached with each other.

Cost per Ad

Maximum Ads \ week

Billboards

$ 3000

$ 5000

10

Morning news

$ 4000

$ 7000

6

Radio

$ 75 000

$ 100 000

2