A particular diet calls for exactly 1000 units of vitamin A, exactly 1600 units of vitamin C, and exactly 2400 units of vitamin E. An individual is fed a mixture of three foods. Each gram of food 1 contains 2 units of vitamin A, 3 units of vitamin C, and 5 units of vitamin E. Each gram of food 2 contains 4 units of vitamin A, 7
1. Find the sum of the first five terms of the geometric sequence.
A=3, r=2
2
a. 93 b. 5 c. 1 d. 93
2 2
2. Use the Gauss-Jordan method to solve the system of equations.
x - y + 3z = 16
3x + z = 4
x + 2y + z = -4
a. No solution b. (4, 0, -4)
Solve the following systems of equations using the method outlined in week 7 (Part I) of the notes. Your procedure should be in matrix form as was done in Example 3. (Read your notes carefully before attempting the problem and simply follow the examples)
x1 + x2 = 2
-x1 + x2 + x3 = 0
-1x2 + x3 = 1
In 2001, 400 seat Boeing 747s were priced at $200 million each, 300 seat Boeing 777s were priced at $160 million, and 200 passenger Airbus A321s were priced at $60 million. Suppose you were the purchasing manager of an airline company and had a $2100 million budget to purchase new aircraft to seat a total of 4500 passengers. You
1) Using the simplex method, solve the following linear programming equation:
Maximize: P= 5x + 2y
Subject to: 4x + 3y <= 30
2x ? 3y <= 6
x>=0 , y>=0
2) Solve the system of linear equation using the Gaus- Jordan elimination method.
a)
3x ? 3y + 4z
Give an example of a non-rectifiable closed Jordan curve on the interval -1<=t<=1.
My thought: t + i(sin 1/t) + ?????
Please advise what curve I can add to make this work. Or, if this will not work, please provide an example of a non-rectifiable closed Jordan curve on -1<=t<1.
