The research department at a manufacturing company has developed a new process that it believes will result in an improved product. Management must decide whether to go ahead and market the new product. The new product may or may not be better than the old one. If the new product is better and the company decides to market it, sales should increase by $60,000. If it is not better and they replace the old product with the new product on the market, they will lose $25,000 to competitors. If they decide not to market the new product, they will lose a total of $50,000 if it is better and just research costs of $20,000 if it is not. Answer parts a through c below. (a) Prepare a payoff matrix. Start 2 By 2 Table 1st Row 1st Column 60000 2nd Column negative 25000 2nd Row 1st Column negative 50000 2nd Column negative 20000 EndTable 60000 −25000 −50000 −20000 (Type an integer or decimal for each matrix element. Do not include the $ symbol in your answer.) (b) If management believes there is a probability of 0.4 that the new product is better, find the expected profits under each strategy and determine the best action. Select the correct answer below and fill in the answer boxes to complete your choice. (Type integers or decimals.) A. The expected profits are $nothing if they market the product and $nothing if they do not. They should not market the product because they will earn more if they do not. B. The expected profits are $nothing if they market the product and $nothing if they do not. They should not market the product because they will lose less if they do not. C. The expected profits are $nothing if they market the product and $nothing if they do not. They should market the product because they will earn more if they do so. D. The expected profits are $nothing if they market the product and $nothing if they do not. They should market the product because they will lose less if they do.
The research department at a manufacturing company has developed a new process that it believes will result in an improved product. Management must decide whether to go ahead and market the new product. The new product may or may not be better than the old one. If the new product is better and the company decides to market it, sales should increase by $60,000. If it is not better and they replace the old product with the new product on the market, they will lose $25,000 to competitors. If they decide not to market the new product, they will lose a total of $50,000 if it is better and just research costs of $20,000 if it is not. Answer parts a through c below. (a) Prepare a payoff matrix. Start 2 By 2 Table 1st Row 1st Column 60000 2nd Column negative 25000 2nd Row 1st Column negative 50000 2nd Column negative 20000 EndTable 60000 −25000 −50000 −20000 (Type an integer or decimal for each matrix element. Do not include the $ symbol in your answer.) (b) If management believes there is a probability of 0.4 that the new product is better, find the expected profits under each strategy and determine the best action. Select the correct answer below and fill in the answer boxes to complete your choice. (Type integers or decimals.) A. The expected profits are $nothing if they market the product and $nothing if they do not. They should not market the product because they will earn more if they do not. B. The expected profits are $nothing if they market the product and $nothing if they do not. They should not market the product because they will lose less if they do not. C. The expected profits are $nothing if they market the product and $nothing if they do not. They should market the product because they will earn more if they do so. D. The expected profits are $nothing if they market the product and $nothing if they do not. They should market the product because they will lose less if they do.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...
Related questions
Topic Video
Question
The research department at a manufacturing company has developed a new process that it believes will result in an improved product. Management must decide whether to go ahead and market the new product. The new product may or may not be better than the old one. If the new product is better and the company decides to market it, sales should increase by
$60,000.
If it is not better and they replace the old product with the new product on the market, they will lose
$25,000
to competitors. If they decide not to market the new product, they will lose a total of
$50,000
if it is better and just research costs of
$20,000
if it is not. Answer parts a through c below.(a) Prepare a payoff matrix.
Start 2 By 2 Table 1st Row 1st Column 60000 2nd Column negative 25000 2nd Row 1st Column negative 50000 2nd Column negative 20000 EndTable
60000 | −25000 | ||
−50000 | −20000 |
(Type an integer or decimal for each matrix element. Do not include the $ symbol in your answer.)
(b) If management believes there is a probability of
0.4
that the new product is better, find the expected profits under each strategy and determine the best action. Select the correct answer below and fill in the answer boxes to complete your choice.(Type integers or decimals.)
The expected profits are
$nothing
if they market the product and
$nothing
if they do not. They should not market the product because they will earn more if they do not.The expected profits are
$nothing
if they market the product and
$nothing
if they do not. They should not market the product because they will lose less if they do not.The expected profits are
$nothing
if they market the product and
$nothing
if they do not. They should market the product because they will earn more if they do so.The expected profits are
$nothing
if they market the product and
$nothing
if they do not. They should market the product because they will lose less if they do.Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.Recommended textbooks for you
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University