ADMS 3300 Study Guide - Final Guide: Analysis Of Variance, Average Absolute Deviation, Gambling

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violetcoyote636

6 Feb 2015

School

York University

Department

Administrative Studies

Course

ADMS 3300

Professor

Malcolm Mac Taggart

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Document Summary

Extremte point (2,5) (5,6) (7,3) . Min 3x 4y + 0s1 + 0s2 + 0s3 s. t. 3x 4y = 12 x = 4, y = 0 x = 8, y = 3. X , y , s1 , s2 , s3 . Optimal solution: x = 2 and y = 5. Value of the objective function is 14. The slack/surplus: (binding constraints has slack/surplus = 0) X + 2y + s1 = 8 2 + 2(5) + s1 = 8 s1= 0 (slack =0) X + 2y s2 = 12 2 + 2(5) s2 = 12 s2= 0 (slack =0) X+2y=8 and x+2y=12 x=2, y=5 z = 3(2) 4(5)= 14: change rhs to: x+2y=9 and x+2y=12 x=1. 5, y=5. 25 z = 3(1. 5) 4(5. 25)= 16. 5; znew zold = 16. 5 ( 14) = 2. 5. Min: negative is improvemnt due price for ( x+2y=8) is 2. 5.

Related Questions

1. One of the tables below contains (x,y) values that weregenerated by a linear function. Determine which table, and thenwrite the equation of the linear function represented by the

Table #1 x 2 5 8 11 14 17 20 y 1 3 7 13 21 31 43

Table #2 x 1 2 3 4 5 6 7 y 10 13 18 21 26 29 34

Table #3 x 2 4 6 8 10 12 14 y 1 6 11 16 21 26 31

2. Give an example of each of the following:

A function whosedomain is [2, infinity)

An arithmeticsequence

A system of equationswith no solutions

3. For f(x) =1/x^2-3, find:

f(3)
f(2+h)

4. For f(x) = 1/x-5and g(x) = x^2+2, find:

1. (fog)(x)

2. (gof)(6)

5. For the sequencegiven by a (subscript n) = 4n+5 an=4n+5, answer the following:

Find the first fiveterms

Find the sum of thefirst 25 terms.

Is this an arithmeticsequence? If so, how can you tell? If not, why not?

6. Graph the areabound by y<1/2x+6, x+3y>=12, x>=0, and x<=12

7. For the functiondefined by:

f(x)= {x^2,x<=1}

{2x+1,x>1}

a. evaluate f(0)

b. graph f(x)

8. Solve thefollowing system of equations algebraically. Verify your solutioneither graphically or by using matrices.

3x-y=0

5x+2y=22

9. Solve thefollowing system of equations algebraically. Verify your solutioneither graphically or by using matrices

8x-2y=5

-12x+3y=7

10.Given matricesA, B, and C below, perform the indicatedoperations if possible. If the operation is not possible, explainwhy.

A (3x3) [1st 2, -1,0] [2nd 0, 5, 0.3] [3rd 1, 4, 10]

B (3x3) [1st 5, 0, 2][2nd 1, -3, 9] [3rd2, 0, 4]

C (1x1) [1, 3, 5]

1.3A+B

2. B+C

3. CA

11. Given the tablebelow, evaluate the following:

x	-3	-2	-1	0	1	2	3	4	5
f(x)	10	20	30	40	50	60	70	80	90
g(x)	-1	-2	-3	-4	-5	-6	-7	-8	-9

a.(3f+2g(1) b. (fog)(-1)

12.Express the following function, F(x) as a composition of twofunctions f and g

f(x)= x^2/(x^2+4)

13.You have a coupon for your favorite clothing store for $25 off anypurchase of more than $50. The store is also running a 20%-off saleon its entire inventory. Let x be the original price, f(x)be the price with the $25 coupon applied, and g(x) be the pricewith the 20% discount applied.

a.Write an expression for f(x)

b.Write an expression for g(x)

c.What would the expression (fog)(x) represent?

d.What would the expression (gof)(x) represent?

e.If the store allows you to apply both the 20% discount and the$25-off coupon, does it matter which you apply first? How do youknow?

11. A decision maker wishes to maximize the total benefit associated with three activities, X, Y, and Z. The price per unit of activities X, Y, and Z is $1, $2, and $3, respectively. The following table gives the ratio of the marginal benefit to the price of the activities for various levels of each activity:

Level of activity	MBXPX	MBYPY	MBZPZ
1	10	22	14
2	9	18	12
3	8	12	10
4	7	10	9
5	6	6	8
6	5	4	6
7	4	2	4
8	3	1	2

a. If the decision maker chooses to use one unit of X, one unit of Y, and one unit of Z, the total benefit that results is $______

b. For the fourth unit of activity Y, each dollar spent increases total benefit by $______. The fourth unit of activity Y increases total benefit by $______.

c. Suppose the decision maker can spend a total of only $18 on the three activities. What is the optimal level of X, Y, and Z? Why is this combination optimal? Why is the combination 2X, 2Y, and 4Z not optimal?

d. Now suppose the decision maker has $33 to spend on the three activities. What is the optimal level of X, Y, and Z? If the decision maker has $35 to spend, what is the optimal combination? Explain.

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Answer 1-44 with steps and explanations.

ADMS 3300 Study Guide - Final Guide: Analysis Of Variance, Average Absolute Deviation, Gambling

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