Question

The number of new businesses established in the US since 1990 can be modeled by the function N(x)=110.8x^3-5305.5x^2+76,701x+332,892 where x = 0 represents 1990 and the domain is [0, 25].

1. According to the model, about how many new businesses were established in 2011? Don’t forget to label and interpret the answer.

2. What was the average rate of change in the number of new businesses established between 2000 and 2010? Don’t forget to label and interpret the answers.

3. What is the instantaneous rate of change in the number of new businesses established in 2011? Remember to label and interpret the answer.

4. Consider the year 2015 (x = 25). Evaluate D(25),D’(25),and D’’(25). Label and interpret the meaning of each answer.

5. Use the First Derivative Test to determine the extrema of the function on the given domain. Classify as max/min and absolute/relative. For what intervals does the function increase/decrease? Please label and interpret each answer in the context of this problem.

6. Use the Second Derivative Test to discuss the concavity of this function on the given interval. What is the POI? Interpret the meaning of the POI in the context of this problem.

Answer #1

kukindly please upvote this

Answer Questions 2 and 3 based on the following LP
problem.
Let P1 = number of Product 1 to be
produced
P2 =
number of Product 2 to be produced
P3 =
number of Product 3 to be produced
Maximize 100P1 + 120P2 +
90P3 Total
profit
Subject to
8P1 + 12P2 + 10P3 ≤
7280 Production budget
constraint
4P1 + 3P2 + 2P3 ≤ 1920 Labor
hours constraint
P1
> 200 Minimum
quantity needed...

Please read the article and answear about
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Determining the Value of the Business
After you have completed a thorough and exacting investigation,
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is the time to consult with your business, financial, and legal
advis- ers to arrive at an estimate of the value of the business.
Outside advisers are impartial and are more likely to see the bad
things about the business than are you. You should...

Using the model proposed by Lafley and Charan, analyze how
Apigee was able to drive innovation.
case:
W17400
APIGEE: PEOPLE MANAGEMENT PRACTICES AND THE CHALLENGE OF
GROWTH
Ranjeet Nambudiri, S. Ramnarayan, and Catherine Xavier wrote
this case solely to provide material for class discussion. The
authors do not intend to illustrate either effective or ineffective
handling of a managerial situation. The authors may have disguised
certain names and other identifying information to protect
confidentiality.
This publication may not be...

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