Operations Research Answers

A Kelifa Business Centre plans to sell two models of an item at costs of $350 and $400. The $350 model yields a profit of $85 and the $400 model yields a profit of $90. The total demand per month for the two models will not exceed 150. Find the number of units of each model that should be stocked each month in order to maximize the profit. Assume the merchant can invest no more than $56,000 for inventory of these items.

Formulate Linear Programming problems (LPP)

Find the optimal solution by Graphic method

A school organized a book fair and in this book fair a book seller is selling his books under the following rules:

There are three different packages available.

First package contains 2 Islamic books, 2 Science books and 2 Geography books, second package contains 2 Islamic books, 4 Science books and 1 Geography books and third package contains 3 Islamic books, 4 Science books and 5 Geography books. The book fair has a total of 250 Islamic books, 300 Science books, and 270 Geography books. First package makes a profit of Rs. 120, second package makes Rs.100 and third package makes Rs.270 per pack.

How many packs should be made to maximize book fair profits?

What will the profit be?

Q2. A school organized a book fair and in this book fair a book seller is selling his books under the following rules:

There are three different packages available.

First package contains 2 Islamic books, 2 Science books and 2 Geography books, second package contains 2 Islamic books, 4 Science books and 1 Geography books and third package contains 3 Islamic books, 4 Science books and 5 Geography books. The book fair has a total of 250 Islamic books, 300 Science books, and 270 Geography books. First package makes a profit of Rs. 120, second package makes Rs.100 and third package makes Rs.270 per pack.

How many packs should be made to maximize book fair profits?

What will the profit be?

1. A Kelifa Business Centre plans to sell two models of an item at costs of $350 and $400. The $350 model yields a profit of $85 and the $400 model yields a profit of $90. The total demand per month for the two models will not exceed 150. Find the number of units of each model that should be stocked each month in order to maximize the profit. Assume the merchant can invest no more than $56,000 for inventory of these items.

A. Formulate Linear Programming problems (LPP)

B. Find the optimal solution by Graphic method

A farmer can plant upto to 8 acres of land with wheat and barley. He can earn $5000 for every acre he plants with wheat and $3000. His use of necessary pesticides is limited by federal regulations of 10 gallons for his entire 8 acres. Wheat requires 2 gallons of acre for each planted and barley one gallon per acre. What is the maximum profit he can make

1)   3F manufacturer produces two products: Beds and Chairs. Each unit of Bed requires 3 hrs in molding unit, 4hrs in painting unit, and 1 hr in finishing. On the other hand, each unit of Chair requires 3 hrs in molding unit, 2 hrs in the paint shop and 2 hours in finishing. Each week, there are 210 hrs available in molding, 200hrs in painting, and 120 hrs in finishing unit. The demand for Beds cannot exceed 40 units per week. Each unit of Bed contributes Birr 20 to profit, while each unit of chair contributes Birr 30. Determine the number of units of each product per week to maximize the profit?

A factory produces three types of fertilizer: X1, X2 and X3. The profits realized from a kilo of each typeare P25, P15 and P35, respectively. The raw materials from which fertilizers are made are nitrogen, sulfurand potassium which are used in the following quantities:NitrogenSulfurPotassiumX13 kilos4 kilos8 kilosX23 kilos4 kilos1 kiloX32 kilos5 kilos3 kilosThe available stocks include 1,500 kilos of nitrogen, 1000 kilos of sulfur and 1200 kilos of potassium. Theobjective is to maximize profit. Find the amounts of X1, X2 and X3 to be manufactured

Steel can be produced using three different methods: The following table lists the average cost per ton of steel for each method.

Type of Cost Basic Continuous Electric

Process Casting Furnace

Materials 150 140 120

Labor 80 75 70

Capital 100 100 60

Energy 20 15 50

Other 45 40 25

a. Production of steel by electric furnace is a relatively new development (beginning in late 1970s) and accounts for a growing fraction of total steel sold. What is your prediction about the future production share of this method?

b. If there were a new energy crisis how would this affect steel makers choices of production methods?

c. Suppose the price of steel scrap is expected to fall significantly over the next five years. What effect would this have on the choice of production method?

How to draw a network diagram in mathematical foundations of computer science

How steps to draw a network diagram.