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M Hasan
M Hasan, Teacher
Category: Homework
Satisfied Customers: 1849
Experience:  BA (Hons) in Mathematics from Oxford University
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Urgent Math help please...MAT 540 Quantitative Methods

Customer Question

Question 1


 


Management science techniques focus primarily on observation, model construction and implementation to find an appropriate solution to a problem.


 


True


False


 


Question 2


In linear programming problems, multiple optimal solutions occur when constraints are parallel to each other.


 


True


False


 


Question 3


A change in the value of an objective function coefficient will always change the value of the optimal solution.


 


True


False


 


Question 4


Fractional relationships between variables are not permitted in the standard form of a linear program.


 


True


False


 


Question 5


In a total integer model, all decision variables have integer solution values.


 


True


False


 


Question 6


In a transshipment problem, items may be transported from destination to destination and from source to source.


True


False


 


Question 7


The events in an experiment are mutually exclusive if only one can occur at a time.


 


True


False


 


Question 8


The minimax criterion minimizes the maximum payoff.


 


True


False


 


Question 9


Excel can be used to simulate systems that can be represented by both discrete and continuous random variables.


 


True


False


 


Question 10


Adjusted exponential smoothing is an exponential smoothing forecast adjusted for seasonality.


 


True


False


 


Question 11


Which of the following is an equation or an inequality that expresses a resource restriction in a mathematical model?


 


*a decision variable


*a parameter


*an objective function


*a constraint


 


 


Question 12


If the price decreases but fixed and variable costs do not change, the break even point:


 


















decreases



increases



remains the same



may increase or decrease, depending on sales


 



 


Question 13


A slack variable :


 


















is the amount by which the left side of a ≥ constraint is larger than the right side



is the amount by which the left side of a ≤ constraint is smaller than the right side



is the absolute value of the difference between the left and right side of a constraint



all of the above


 



 


Question 14


Cully furniture buys 2 products for resale: big shelves (B) and medium shelves (M). Each big shelf costs $500 and requires 100 cubic feet of storage space, and each medium shelf costs $300 and requires 90 cubic feet of storage space. The company has $75000 to invest in shelves this week, and the warehouse has 18000 cubic feet available for storage. Profit for each big shelf is $300 and for each medium shelf is $150. What is the storage space constraint?


 


 


















90B + 100M ≥ 18000



90B + 100M ≤ 18000



100B + 90M ≤ 18000



500B + 300M ≤ 18000


 



 


Question 15


The following is an Excel “Answer” and “Sensitivity” reports of a linear programming problem:


The Answer Report:


 


 


 


The Sensitivity Report: 


 


 


 


 Which additional resources would you recommend to be increased?


















mix/mold



kiln



paint and seal



Cannot tell from the information provided


 



 


Question 16


Given the following linear programming problem that minimizes cost.


 


Min Z = 2x + 8y


 


Subject to        8x + 4y ≥ 64


                        2x + 4y ≥ 32


                        y ≥ 2


 


What is the sensitivity range for the third constraint, y ≥ 2?


 


















0 to 4



2 to 5.33



0 to 5.33



4 to 6.33


 



 


Question 17


Compared to blending and product mix problems, transportation problems are unique because:


 


















They maximize profit.



The constraints are all “=” constraints with no "≤" or "≥" constraints.



The solution values are always integers.



All of the above are True.


 



 


 


Question 18


The owner of Black Angus Ranch is trying to determine the correct mix of two types of beef feed, A and B which cost 50 cents and 75 cents per pound, respectively.  Five essential ingredients are contained in the feed, shown in the table below.  The table also shows the minimum daily requirements of each ingredient.


 


 


 


 


 


 


 










































Ingredient



Percent per pound in Feed A



Percent per pound in Feed B



Minimum daily requirement (pounds)



1



20



24



30



2



30



10



50



3



0



30



20



4



24



15



60



5



10



20



40



 


The constraint for ingredient 3 is:


 


















5A + .75B = 20



3B = 20



3 B≤ 20



3B ≥ 20


 


 



 


 


Question 19


The Wiethoff Company has a contract to produce garden hoses for a customer. Wiethoff has 4 different machines that can produce this kind of hose. Write a constraint to ensure that if machine 4 is used, machine 1 will not be used.


 


















Y1 + Y4 ≤ 0



Y1 + Y4 = 0



Y1 + Y4 ≤ 1



Y1 + Y4 ≥ 1


 



 


 


 


 


 


 


 


 


Question 20


If we are solving a 0-1 integer programming problem, the constraint x1 = x2 is a __________ constraint.


 


 


















multiple choice



mutually exclusive



conditional



corequisite


 



 


Question 21


The following table represents the cost to ship from Distribution Center 1, 2, or 3 to Customer A, B, or C.


 


 


 


 


The constraint that represents the quantity demanded by Customer B is:


 


















6X1B + 2X2B + 8X3B ≤ 350



6X1B + 2X2B + 8X3B = 350



X1B + X2B + X3B ≤ 350



X1B + X2B + X3B = 350  



 


Question 22


 


A professor needs help from 3 student helpers to complete 4 tasks.  The first task is grading; the second is scanning; the third is copying, and the fourth is organizing student portfolios.  The estimated time for each student to do each task is given in the matrix below.


 


 


 


Which of the following constraints represents the assignment for student A?


 


















XA1 +XA2 + XA3 + XA4 = 0



XA1 +XA2 + XA3 + XA4 = 1



XA1 +XA2 + XA3 + XA4 ≥ 1



XA1 +XA2 + XA3 + XA4 ≥ 0


 



 


 


Question 23


Mutually exclusive events are:


 


















events with distinct probabilities



events that have no outcomes in common



events that have no effect on each other



all of the above


 



 


 


Question 24


Jim is considering pursuing an MS in Information Systems degree. He has applied to two different universities. The acceptance rate for applicants with similar qualifications is 20% for University X and 45% for University Y. What is the probability that Jim will not be accepted at either university?


 


*.20


*.30


*.36


*.44


 


Question 25


Determining the worst payoff for each alternative and choosing the alternative with the best worst is called :


 


 


















maximin



minimin



maximax



minimax


 



 


Question 26


A business owner is trying to decide whether to buy, rent, or lease office space and has constructed the following payoff table based on whether business is brisk or slow.


 


 


 


The conservative strategy is:


 


















Buy



Rent



Lease



Brisk.


 



 


Question 27


For the following frequency distribution of demand, the random number 0.8177 would be interpreted as a demand of:


 


 


 


 


















0



1



2



3


 



 


 


 


Question 28


In the Monte Carlo process, values for a random variable are generated by __________ a probability distribution.


 


















sampling from



running



integrating



implementing


 



 


Question 29


Given an actual demand of 59, a previous forecast of 64, and an alpha of .3, what would the forecast for the next period be using simple exponential smoothing?


 


















36.9



57.5



60.5



62.5



 


 


Question 30


__________ moving averages react more slowly to recent demand changes than do __________ moving averages.


 


 


















Longer-period, shorter-period



Shorter-period, longer-period



Longer-period, longer-period



Shorter-period, shorter-period



 


Question 31


A production process requires a fixed cost of $50,000. The variable cost per unit is $25 and the revenue per unit is projected to be $45.  Find the break-even point.


 


Answer: _________________


 


 


 


 


Question 32


Tracksaws, Inc. makes tractors and lawn mowers. The firm makes a profit of $30 on each tractor and $30 on each lawn mower, and they sell all they can produce. The time requirements in the machine shop, fabrication, and tractor assembly are given in the table.


 


 


 


Formulation:


Let                   x = number of tractors produced per period


                        y = number of lawn mowers produced per period


 


MAX 30x + 30y


 


subject to   2 x + y       ≤ 60


                  2 x + 3y     ≤ 120


                     x ≤ 45


                    x, y  ≥ 0


 


The graphical solution is shown below.


 


 


 


 


 


What is the shadow price for fabrication?  Write your answers with two significant places after the decimal and do not include the dollar “$” sign.


 


Answer: ________________


 


 


 


Question 33


Consider the following linear program, which maximizes profit for two products, regular (R), and super (S):


 


MAX


50R + 75S


s.t.


          1.2R + 1.6 S ≤ 600 assembly (hours)


          0.8R + 0.5 S ≤ 300 paint (hours)


         .16R + 0.4 S ≤ 100 inspection (hours)


 


Sensitivity Report:


 


 

































Cell



Name



Final Value



Reduced Cost



Objective Function



Allowable Increase



Allowable Decrease



$B$7



Regular=



291.67



0.00



50



70



20



$C$7



Super=



133.33



0.00



75



50



43.75



 


 










































Cell



Name



Final Value



Shadow Price



Constraint R.H. Side



Allowable Increase



Allowable Decrease



$E$3



Assembly (hr/unit)



563.33



0.00



600



1E+30



36.67



$E$4



Paint (hr/unit)



300.00



33.33



300



39.29



175



$E$5



Inspect (hr/unit)



100.00



145.83



100



12.94



40



 


 


A change in the market has increased the profit on the super product by $5. Total profit will increase by __________. Write your answer as an integer and do not include the dollar “$” sign.


 


Answer
: _____________


 


 


Question 34


 


Kitty Kennels provides overnight lodging for a variety of pets. An attractive feature is the quality of care the pets receive, including well balanced nutrition. The kennel’s cat food is made by mixing two types of cat food to obtain the “nutritionally balanced cat diet.” The data for the two cat foods are as follows:


 

Attachment: 2012-03-13_184544_mat_540_word_help.doc


 


 


 


Kitty Kennels wants to be sure that the cats receive at least 5 ounces of protein and at least 3 ounces of fat per day. What is the optimal cost of this plan? Write your answers with two significant places after the decimal and do not include the dollar “$” sign.


 


Answer: ______________


 


 


Question 35


Find the optimal Z value for the following problem. Do not include the dollar “$” sign with your answer.


 


MAX Z = 5x1 + 8x2


 


s.t.             x1 + x2 ≤ 6


                 5x1 + 9x2 ≤ 45


  x1, x2 ≥ 0 and integer


 


Answer: ____________


 


 


Question 36


A company markets educational software products, and is ready to place three new products on the market. Past experience has shown that for this particular software, the chance of “success” is 80%. Assume that the probability of success is independent for each product. Find the probability that at least two of the three is successful. Round your result to four significant places after the decimal.


 


Answer: ___________


 


 


Question 37


The local operations manager for the IRS must decide whether to hire 1, 2, or 3 temporary workers. He estimates that net revenues will vary with how well taxpayers comply with the new tax code. The probabilities of low, medium, and high compliance are 0.20, 0.30, and 0.50 respectively. What are the expected net revenues for the number of workers he will decide to hire? Do not include the dollar “$” sign with your answer.


 


 


 


 


 


Answer: ___________


 


 


Question 38


An investor is consider 4 different opportunities, A, B, C, or D.  The payoff for each opportunity will depend on the economic conditions, represented in the payoff table below.


.                 


.                                                            Economic Condition


.                                        Poor           Average       Good        Excellent


.                    Investment      (S1)              (S2)           (S3)          (S4)


.                           A               50                  75              20              30


.                           B               80                  15              40              50


.                           C           -100                 300             -50              10     


.                           D               25                  25              25              25 


.                 


 


Suppose all states of the world are equally likely (each state has a probability of 0.25). What is the expected value of perfect information? Round your answer to the nearest integer.


 


Answer: _____________


 


 


Question 39


Consider the following decision tree. The objective is to choose the best decision among the two available decisions A and B. Find the expected value of the best decision. Do not include the dollar “$” sign with your answer.


 


 


Answer: ______________


 


 


 


Question 40


Recent past demand for product ZXT is given in the following table.


 






































Month



Actual Demand



February



20



March



22



April



33



May



35



June



31



July



48



August



41



 


The forecasted demand for May, June, July, August, and September are 25, 30, 33, 38, and 40 respectively. Determine the value of MAD. Round your result to four significant places after the decimal.


 


Answer: _______________


 


 


Attachment: 2012-03-13_184620_mat_540_word_help.doc


Submitted: 2 years ago.
Category: Homework
Expert:  M Hasan replied 2 years ago.
Hi there!

1. False
2. False
3. False
4. True
5. True
6. True
7. True
8. False
9. True
10. False
11. *a constraint
12. increases
13. is the amount by which the left side of a ≤ constraint is smaller than the right side
14. 100B + 90M ≤ 18000
15. kiln
16. 0 to 5.33
17. The solution values are always integers.
18. 3B ≥ 20
19. Y1 + Y4 ≤ 1
20. corequisite

I shall post the answers to the rest shortly.
Customer: replied 2 years ago.
ok thank you. Once you post the rest of the questions I will be glad to click accept :)
Expert:  M Hasan replied 2 years ago.
Hi there!

Here are the rest of the answers:

21. X1B + X2B + X3B = 350
22.
XA1 +XA2 + XA3 + XA4 = 1
23. events that have no effect on each other
24. *.44
25. maximin
26. Buy
27. 1
28. sampling from
29. 62.5
30. Longer-period, shorter-period
31. 2500
32. 0
33. 667
34. $3.5
35. 39
36. 0.896
37. $50,000
38. 28.5
39. $2100
40. 7.3061

Hope this helps. If so, please click 'Accept'. Any bonus would be great! Thanks! :)
Customer: replied 2 years ago.
Great! got them. On # XXXXX the questions asks us to put the answer in this form:
Write your answers with two significant places after the decimal and do not include the dollar “$” sign. Your answer was $3.5, After I remove the $ sign what would be the answer with two significant places after the decimal. Thank you.
Customer: replied 2 years ago.
Also, on #36 we are asked to round our result to four significant places after the decimal. Your answer was 0.896. Please correct this for me if you can. The automated system which corrects our assignments is very picky and I do not want the answer to be marked incorrect. Thanks.
Customer: replied 2 years ago.
#32 you put the answer as 0. Are you sure the answer is 0 for the shadow price for fabrication? I am only having issues with Questions 32, 34, and 36. The rest of your answers look good. Please get back to me regarding these three answers. Thanks once again.
Expert:  M Hasan replied 2 years ago.
THIS ANSWER IS LOCKED!

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M Hasan, Teacher
Category: Homework
Satisfied Customers: 1849
Experience: BA (Hons) in Mathematics from Oxford University
M Hasan and 3 other Homework Specialists are ready to help you
Customer: replied 2 years ago.
Hi. Thanks for your help. I appreciate it. Just wanted to let you know however, that I got 10 answers wrong. #32 being one of them. The answer was not 0. It was 7.50. Here are the correct answers to the questions I got wrong:

13) correct answer: all of the above
23) events that have no outcomes in common
26) Lease
27) 2
32) 7.50
34) 3.60
35) 40
36) 0.8960 (I got your response to follow-up questions a little late so I had to submit my test before I ran out of time)

Nonetheless. I am sure that a lot of effort was placed in solving each answer regardless of the fact that some of them were wrong. I ended up getting an overall of 75% on the test. I will click accept. Thank you once again for you effort.
Expert:  M Hasan replied 2 years ago.
I'm sorry you got some of them wrong. I am glad to have been able to help. :)

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