Using the Simplex Method, Construct the objective function and constraints.
A factory produces throw pillows and quilts Each pillow requires 1 yard of fabric Each quilt requires 2 yards of fabric Each yard of fabric costs \$5
The factory has \$1000 to spend.
The factory has 200 yards of fabric to use
The profit of each pillow is \$10; the profit of each quilt is \$20
Management selection. A corporation plans to fill 2 different positions for vice-president, V 1 and V 2, from administrative officers in 2 of its manufacturing plants. Plant A has 8 officers and plant B has 7.
a. How many ways can these 2 positions be filled if the V1 position is to be filled from plant A and the V2 position from plant B?
b. How many ways can the 2 positions be filled if the selection is made without regard to plant?
An electronics store receives a shipment of 30 graphing calculators, including 4 that are defective. Four of the calculators are selected to be sent to a local high school.
A. How many selections can be made using the original shipment? B. How many of these selections will contain no defective calculators?
Personnel selection. Suppose that 7 female and 6 male applicants have been successfully screened for 5 positions. If the 5 positions are filled at random from the 13 finalists, what is the probability of selecting
(A) 3 females and 2 males? (B) 4 females and 1 male? (C) 5 females?
(D) At least 4 females?
(A) The probability of selecting 3 females and 2 males is approximately (Type a decimal. Round to three decimal places.)
(B) The probability of selecting 4 females and 1 male is approximately (Type a decimal. Round to three decimal places.)
(C) The probability of selecting 5 females is approximately (Type a decimal. Round to three decimal places.)
(D) The probability of selecting at least 4 females is approximately (Type a decimal. Round to three decimal places.)
Insurance. By examining the past driving records of drivers in a certain city, an insurance company has determined the following (empirical) probabilities
Accident .10 .10 .20 .40
N0 Accident .10 .20 .30 .60
Totals .20 .30 .50 1.0
If a driver in this city is selected at random, what is the probability that
a. He or she drives less than 10,000 miles per year or has an accident? CI
(Type a decimal.)
b. He or she drives 10,000 or more miles per year and has no accidents?
(Type a decimal.)
In a study to determine frequency and dependency of color-blindness relative to females and males, 1000 people were chosen at random and the following results were recorded:
(A) Convert the table to a probability table by dividing each entry by 1,000.
(B) What is the probability that a person is a woman, given that the person is color-blind?
(C) What is the probability that a person is color-blind, given that the person is a male?
(D) Are the events color-blindness and male independent?
(E) Are the events color-blindness and female independent?
Decision analysis. After careful testing and analysis, an oil company is considering drilling in two different sites. It is estimated that site A will net \$30 million if successful (probability .2) and lose \$3 million if not (probability .8); site B Will net \$80 million if successful (probability .1) and lose \$6 million if not (probability .9). Which site should the company choose according to the expected return from each site?
a. What is the expected return for site A? million
b. What is the expected return for site B? million
c. Which site should the company choose?
Which graph is representative of the above data?
Common stocks. The table shows priceearnings ratios of 100 common stocks chosen at random from the New York Stock Exchange.
A) Construct a frequency table using a class interval of width 5 starting at -0.5
B) Which histogram is representative of the above data? C) Which frequency polygon is representative of the above data?
D) Construct a cumulative frequency table using the same class intervals as in the frequency table
What is the probability of a price-earnings ratio drawn at random from the sample lying between 4.5 and 14.5? Let n represent the price-earnings ratio drawn.
E) Which cumulative frequency polygon is representative of the above data?
Excerpt from file: Math Tutorial Let p pillows q quilts Then the original constraints are, the objective function is, using the simplex method these would look like, with objective function, 1. a) the number of ways these 2 position can be filled, b) if the decision is made without regard to plant then there are 87
Print Length: 6 Pages/Slides
Excerpt from file: MGT508Module1Case The case assignments for this course are tightly coordinated with the SLP and the TD. In the SLP, you will be working with a virtual team comprised of several of your classmates. In the case, you will be considering the more conceptual topics that will guide you in structuring
Filename: MGT 508 Module 1 Case.docx
Filesize: < 2 MB
Print Length: 6 Pages/Slides
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