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A trust fund is planning to invest up to P600,000 in
two type of bonds: A and B. Bond A carries a
dividend of 25% and B, 30%. Suppose the fund rules
state that no more than P400,000 may be invested in
bond B, while at least P150,000 must be invested in
bond A, how much should be invested in each type
of bond to maximize the fund’s return?
500 750 300 450 compute with north West corner method
A city has two subrubs subrub x anf subrub y over the past several years, the city has experienced a populatin shift from the city to the subrubs
a) Determine the range of feasibility for each constraint
3x1+4x2+2x3+x4≤90
2x1+x2+2x3 +X5≤54
x1+3x2+2x3 + x6≤93
A merchant plans to sell two types of personal computers – a desktop model and a portable model that will cost Birr 25000 and Birr 40000 respectively. He estimates that the total monthly demand of computers will not exceed 250 units. Determine the number of units of each type of computers which the merchant should stock to get maximum profit if he does not want to invest more than Birr 70 lakhs and if his profit on the desktop model is Birr 4500 and on portable model is Birr 5000. (Find optimal Solution by simplex Model)
{F} The furniture company inexpensive tables and chairs. The production process of each is similar in the painting department each table take 4 hours of carpentry and 2 hours in the painting department. Each chair requires 3 hours of carpentry and 1 hour painting department. During the current product period 240 hours of carpentry time are available and 100 hrs in the painting is available. Each table sold yields of profit of $7 and chair produced sold for $5 profit. Find the best combination of table and chairs to manufacture in order to reach the maximum number of profit?
1. Bedele Brewery produces Ale and Beer. Suppose that the productions are limited by
scarce resources of Corn, Hops and Barely malt. To make Ale, 5 kg of Corn, 4 Kg of
Hops and 35 Kg of Barely malt are required. To make Beer, 15 Kg of Corn, 4 Km of
Hops and 20 Kg of Barely malt are required. Suppose that only 480 Kg of Corn, 160 Kg
of Hops and 1190 Kg of Barely malt are available. The Brewery plans to enjoy a Profit of
Birr 13 for each Kg of Ale and Birr 23 for each Kg of Beer.
Required:
A. Formulate the linear programming model
B. How many Ale and Beer should the Brewery Company produce in order to
maximize the returns? Using the graphical method.
C. What is the total profit?
D. Is there any slack? Identify
Given a transportation problem with the following costs, supply, and demand, find the initial solution
using the minimum cell cost method and Vogel’s approximation model. Is the VAM solution
optimal?
To
From 1 2 3 Supply
A 6 7 4 100
B 5 3 6 180
C 8 5 7 200
Demand 135 175 170
F. The furniture company inexpensive tables and chairs. The production process of each is similar in the painting department each table take 4 hours of carpentry and 2 hours in the painting department. Each chair requires 3 hours of carpentry and 1 hour painting department. During the current product period 240 hours of carpentry time are available and 100 hrs in the painting is available. Each table sold yields of profit of $7 and chair produced sold for $5 profit. Find the best combination of table and chairs to manufacture in order to reach the maximum number of profit?
The Burger Doodle restaurant franchises in Los Angeles are supplied from a central warehouse in Inglewood. The locations of the warehouse and its proximity, in minutes of travel time, to the franchises are shown in the following network: Trucks supply each franchise on a daily basis. Determine the shortest route from the warehouse at Inglewood to each of the nine franchises
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