Question

The marketing research department of a computer company used a large city to test market the firm’s new laptop. The department found that the relationship between price p (dollars per unit) and the demand x (units per week) was given approximately by p=1,296-0.12x^2 0≤x≤80) So, weekly revenue can be approximated by R(x)=xp=1,296x-0.12x^3 Find all critical numbers of the function, then use the second-derivative test on each critical number to determine if it is a local maximum or minimum in order to find the maximum revenue.

Answer #1

A company’s market research department recommends the
manufacture and marketing of a new headphone set for the iPhoneXS.
iphone2.png After suitable test marketing, the research department
presents the following demand function... p = 74 - 2q The financial
department provides the cost function below... C(q) = 78 + 17q
where $78 is the estimate of fixed costs (tooling and overhead) and
$17 is the estimate of marginal costs per headphone set (materials,
labor, marketing, transportation, storage, etc.). Find the price,...

1. At a price $p per unit, the marketing department at a local
company esti- mates that the weekly costs are given by the equation
C = 2p + 12
and the revenue is given by the equation R =
10p ? p2
(a) The company makes a profit when the revenue is bigger than
the costs.
At what prices will the company have a profit?
(b) The company will have a loss if the costs are greater than
the...

4. When the second derivative test (SDT) is used for a critical
point the result can be local maximum, local minimum, saddle point
or test inconclusive. Consider the function f(x, y) = y^2 − 2y
cos(x) with domain restricted to {(x, y) | −1 ≤ x ≤ 4 and − 2 ≤ y ≤
4} and the three points P = ( π/2 , 0) Q = (0, 1) and R = (π,
−1).
(a) Find all the critical points...

4. When the second derivative test (SDT) is used for a critical
point the result can be local maximum, local minimum, saddle point
or test inconclusive. Consider the function f(x, y) = y 2 − 2y
cos(x) with domain restricted to {(x, y) | −1 ≤ x ≤ 4 and − 2 ≤ y ≤
4} and the three points P = ( π 2 , 0) Q = (0, 1) and R = (π,
−1).
(a) Find all the...

3. Critical analysis Q3
Compute-Accounting, Inc., uses computer technology and
data-entry operators to provide accounting services in a
competitive market. For each accounting statement processed, the
firm receives a $200 fee (column 4 in the following table). Given
the firm’s current fixed capital, column 2 shows how total output
changes as additional data entry operators are hired. The marginal
revenue product (MRP) schedule (column 6) indicates how hiring an
additional operator affects the total revenue of the firm. Because
a...

1.
Let A denote the event that a particular stock
outperforms the market and let B denote the event that the
economy is experiencing rapid economic growth. Suppose that
P(A) = 0.40, P(B) = 0.50 and
P(A/B) is 0.20. Therefore, the two
events A and B are probabilistically
independent.
True
False
2.
A manager estimates that demand for their company's product will
increase within the next 2 quarters with probability 0.55. This is
an example of a
a.
objective probability...

1. A city official claims that the proportion of all commuters
who are in favor of an expanded public transportation system is
50%. A newspaper conducts a survey to determine whether this
proportion is different from 50%. Out of 225 randomly chosen
commuters, the survey finds that 90 of them reply yes when asked if
they support an expanded public transportation system. Test the
official’s claim at α = 0.05.
2. A survey of 225 randomly chosen commuters are asked...

Department of Management Information Systems, Operations
Management and Decision Sciences, University of Dayton, Dayton,
Ohio 45419, [email protected] Hub Group, a North American
intermodal freight rail transportation company, developed an
integrated produc- tion decision support system to improve its
yield management and container allocation. The system combines a
suite of analytical tools, including forecasting, error
distribution analysis, expected value-based heuristics, and
optimization tools to improve the decision making of Hub's
frontline employees. It is important to note that the production
decision...

What tools could AA leaders have used to increase their
awareness of internal and external issues?
???ALASKA AIRLINES: NAVIGATING CHANGE
In the autumn of 2007, Alaska Airlines executives adjourned at
the end of a long and stressful day in the
midst of a multi-day strategic planning session. Most headed
outside to relax, unwind and enjoy a bonfire
on the shore of Semiahmoo Spit, outside the meeting venue in
Blaine, a seaport town in northwest
Washington state.
Meanwhile, several members of...

Delta airlines case study
Global strategy. Describe the current global
strategy and provide evidence about how the firms resources
incompetencies support the given pressures regarding costs and
local responsiveness. Describe entry modes have they usually used,
and whether they are appropriate for the given strategy. Any key
issues in their global strategy?
casestudy:
Atlanta, June 17, 2014. Sea of Delta employees and their
families swarmed between food trucks, amusement park booths, and
entertainment venues that were scattered throughout what would...

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