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1. 1. Prove by simple arguments that the square root of 2 is not a rational number. What is the implication of this finding to the early Pythagoreans who claimed that all numbers are commensurable?
1.2. Discuss the “foundational issues of Mathematics”. Is Mathematics really nothing more than logic? What, in particular, would be the problem of this point of view if we consider “analysis”?
1.2. Discuss the “foundational issues of Mathematics”. Is Mathematics really nothing more than logic? What, in particular, would be the problem of this point of view if we consider “analysis”?
Moore Corporation has earned $205,500 after tax. The return on equity for Moore Corporation is 18%. What's Moore's stockholders' equity?
1. A trucking company has a contract to move 115 truckloads of sand per week between three sand-washing plants W, X, and Y, and three destinations A, B and C. cost and volume information is given below. Compute the optimal transportation cost.
To
From
Project A
Project B
Project C
Supply
Plant W 5 10 10 35
Plant X 20 30 20 40
Plant Y 5 8 12 40
Demand 45 50 20
a. Formulate the transportation problem.
b. Set up the initial transportation tableau from the minimum-entry method.
c. Using the Northwest Corner rule, find the initial allocation.
d. Find the optimal solution using Stepping-stone method.
e. Compare the optimal solution obtained in e. using Modified Distribution Method.
To
From
Project A
Project B
Project C
Supply
Plant W 5 10 10 35
Plant X 20 30 20 40
Plant Y 5 8 12 40
Demand 45 50 20
a. Formulate the transportation problem.
b. Set up the initial transportation tableau from the minimum-entry method.
c. Using the Northwest Corner rule, find the initial allocation.
d. Find the optimal solution using Stepping-stone method.
e. Compare the optimal solution obtained in e. using Modified Distribution Method.
2. A manufacturing company operates plants P1, P2, and P3 in different regions. The weekly production of these plants are as follow:
Plant Weekly Production (Box)
P1 1000
P2 850
P3 550
The total supply of the company is absorbed by warehouse W1, W2, and W3. Their weekly requirement is as follows:
Warehouse Weekly Requirement
W1 1000
W2 700
W3 850
The transportation cost (in peso) from each plant to each warehouse in given below:
To
From W1 W2 W3
P1 90 110 70
P2 80 50 100
P3 140 130 90
a. Formulate the transformation problem.
b. Set up the initial transportation tableau from the minimum-entry method.
c. Using the Northwest Corner Rule, find the initial allocation.
d. Determine the shipment from each plant to each warehouse that minimizes the delivery cost using Stepping-Stone Method.
Compare the optimal solution obtained in e. using Modified Distribution Method
Plant Weekly Production (Box)
P1 1000
P2 850
P3 550
The total supply of the company is absorbed by warehouse W1, W2, and W3. Their weekly requirement is as follows:
Warehouse Weekly Requirement
W1 1000
W2 700
W3 850
The transportation cost (in peso) from each plant to each warehouse in given below:
To
From W1 W2 W3
P1 90 110 70
P2 80 50 100
P3 140 130 90
a. Formulate the transformation problem.
b. Set up the initial transportation tableau from the minimum-entry method.
c. Using the Northwest Corner Rule, find the initial allocation.
d. Determine the shipment from each plant to each warehouse that minimizes the delivery cost using Stepping-Stone Method.
Compare the optimal solution obtained in e. using Modified Distribution Method
Gunpowder contains 75% nitrite 15% charcoal and rest sulphur find the amount of sulphur in 9 kg of gunpowder
1. A trucking company has a contract to move 115 truckloads of sand per week between three sand-washing plants W, X, and Y, and three destinations A, B and C. cost and volume information is given below. Compute the optimal transportation cost.
To
From
Project A
Project B
Project C
Supply
Plant W 5 10 10 35
Plant X 20 30 20 40
Plant Y 5 8 12 40
Demand 45 50 20
a. Formulate the transportation problem.
b. Set up the initial transportation tableau from the minimum-entry method.
c. Using the Northwest Corner rule, find the initial allocation.
d. Find the optimal solution using Stepping-stone method.
e. Compare the optimal solution obtained in e. using Modified Distribution Method.
To
From
Project A
Project B
Project C
Supply
Plant W 5 10 10 35
Plant X 20 30 20 40
Plant Y 5 8 12 40
Demand 45 50 20
a. Formulate the transportation problem.
b. Set up the initial transportation tableau from the minimum-entry method.
c. Using the Northwest Corner rule, find the initial allocation.
d. Find the optimal solution using Stepping-stone method.
e. Compare the optimal solution obtained in e. using Modified Distribution Method.
Find the work done in moving an object along a vector r=3i+2j-5k if the applied force is f= 2i-j-k
On a bike trip across the u.s Rodney notes that he covers about 190 miles every 4 days. If he continues at this rate determine about how many miles he could bike in 6 days
Suppose that a child's grade point average is directly proportional to that child's hours of outdoor play. Last semester, nine-year-old Jamie played outdoors an average of 20 hours per week, and a great point average was 3.25. So far this semester, she has only managed to play outdoors 12 hours/week. What grade point average for this produce?
Use the digits 1-7 to create a seven digit number the can be rounded to 6,300,000
