A farmer has 1000 acres of land on which he can grow corn, wheat and soybean….
Relax! Stop worrying about deadlines and let our professional writers help you. Hire an essay writer helper and receive a professional assignment before your deadline. We provide writing services for all types of academic assignments.
Order a Similar Paper Order a Different Paper
MBA Program
INDIVIDUAL ASSIGNMENT 1 for analytical DECISION MODELLING FOR BUSINESS DECISIONS
 Develop a linear programming model for each of the following problems.

A farmer has 1000 acres of land on which he can grow corn, wheat and soybean. Each acre of corn costs birr 100 for preparation, requires 7 mandays work and yields a profit of birr 30. An acre of wheat costs birr 120 to prepare, requires 10 mandays of work and yields a profit of birr 20. An acre of Soybeans costs birr 70 to prepare, requires 8 mandays of work and yields a profit of birr 20. If the farmer has birr 100,000 for preparation and can count on 8000 mandays of work, how may acres should be allocated to each crop to maximize profit?

A firm has produced three products A, B, and C. Each of which passes through three departments: Fabrication, finishing, and packaging. Each unit of product A requires 3,4, & 2 hours; a unit of B requires 5,4, and 4 hours while each unit of product C requires 2,4 and 5 hours respectively in three departments. Every day, 60 hours are available in the fabrication departments, 72 hours in the finishing department and 100 hours in the packaging department. If the unit contribution of product A is birr 5, of product B is 10 and of product C is birr 8, determine the number of units of each of the products, that should be made each day to maximize the total contribution.

Dinsho Company sells two types of fertilizers, Urea and DAP. Urea fertilizer contains 2 units of chemical A and 4 units of Chemical B per sack and the DAP fertilizer contains 3 units of each of the chemical A and B per sack. Urea and DAP fertilizers sell at $3 and $4 per sack respectively. A farmer requires at least 90 units of chemical A and at least 120 units of chemical B for his farm. How many of each fertilizer should the farmer purchase to minimize the cost while meeting the requirement?

An air force is experimenting with three types of bombs P, Q, and R in which three kinds of Explosive viz, A, B and C will be used. Taking the various factors into consideration, it has been decided to use the maximum 600 kg of explosive A, at least 480 kg of explosive B and Exactly 540 of explosive C. Bomb P requires 3,2,2 kg of A,B,C respectively. Bomb Q requires 1, 4, 3 kg of A, B, and C respectively. Bomb R requires 4, 2, 3 kg of A, B, C respectively. Now bomb P will give the equivalent of 2 ton explosive, bomb Q will give 3 ton explosive and bomb R will give 4 ton explosive. Under what production schedule can the Air Force make the biggest bang?

A firm has an advertising budget of birr 720,000. It wishes to allocate this budget to two media: magazines and televisions, so that total exposure is maximized. Each page of magazine advertising is estimated to result in 60,000 exposures, whereas each spot on television is estimated to result in 120,000exposure. Each page of magazine advertising costs birr 9,000 and each spot on television costs birr 12,000. An additional condition that the firm has specified is that at least 2 pages of magazine advertising be used and at least 3 spots on television. Determine the optimal media mix that maximizes the exposure.

A furniture workshop makes desks, chairs, and cabinet and bookcases. The work is carried out in three major debarmentsdesigning, Fabrication, and Finishing. Time required per unit of product in hours is:
Department 
Desk 
Chair 
Cabinet 
Book Case 
Time/week 
Designing 
4 
2 
3 
3 
800 
Fabrication 
10 
6 
8 
7 
1200 
Finishing 
10 
8 
8 
8 
800 
Cost of operation per unit of the products is (birr)
Department 
Desk 
Chair 
Cabinet 
Book case 
Designing 
15 
8 
12 
12 
Fabrication 
30 
18 
24 
21 
Finishing 
35 
28 
25 
21 
Selling price/unit 
175 
95 
145 
130 
Copy and paste your question here…
Great students hand in great papers. Order our essay service if you want to meet all the deadlines on time and get top grades. Professional custom writing is the choice of goalfocused students. Word on the online streets is... we're simply the best!
Get a 15% discount on your order using the following coupon code SAVE15
Order a Similar Paper Order a Different Paper