Question: A model for advertising response is given by the function N(a) = 1000 + 200 ln a, a 1, Where N(a) is the number

A model for advertising response is given by the function
N(a) = 1000 + 200 ln a, a ≥ 1,
Where N(a) is the number of units sold when a is the amount spent on advertising, in thousands of dollars.
a) How many units were sold after spending $1000 (a = 1) on advertising?
b) How many units were sold after spending $5000?
c) Graph the function.
d) How much would have to be spent in order to sell 2000 units?

Step by Step Solution

★★★★★

3.42 Rating (168 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a N1 1000 200 ln 1 1000 units b N... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

864-L-A-L-S (738).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!

A model for the US average price of a pound of white sugar from 1993 to 2003 is given by the function S(t) = - 0.00003237t5 + 0.0009037t4 - 0.008956t3 + 0.03629t2 - 0.04458t + 0.4074 where is...

The value of a stock is given by the function V(t) = 58 (1 - e-1.1t) + 20, Where V is the value of the stock after time t, in months a) Graph the function. b) Find V(1), V(2), V(4), V(6), and V(12)....

Crawford Labs has increased its profitability dramatically by using models to allocate its sales force among the company's major drugs. To guide that effort, a nonlinear sales-response curve is...

(21) A model for advertising response is given by N01) = 10000 + 80001n a where Nla) = the number of units sold and a = the amount spent on advertising, in thousands of dollars. Find the rate at...

A model for advertising response is given by N 9 a ) = 8 0 0 0 + 6 0 0 ln a , where n ( a ) = the number of units sold and a = the amount spent on advertising. Find N ' ( 1 0 )

itegrity vic Question 14 10 Solve the problem. A model for advertising response is given by N (a) = 8000 + 600 Ina, a > 1 where N(a) = the number of units sold and a = the amount spent on...

Solve the problem. A model for advertising response is given by N(a) = 6000 + 400 In a, a2 1 where N(a) = the number of units sold and a = the amount spent on advertising, in thousands of dollars....

In the following exercises and problems you will be able to apply models of situations related to business administration using linear, polynomial, exponential and logarithmic functions. Correctly...

Since graduating from college, Mabel has used the firm of R&P to prepare her tax returns. Each January, Mabel receives a summary information sheet, which she fills out and sends to R&P along with the...

Geotechnical Instrumentation is frequently employed for monitoring the condition of reclamation. Sometimes two piezometers are installed inside the same borehole. What is the reason behind this

Which is usually NOT a benefit from reducing a company's dividend? Signalling about future outlook Improving debt ratios and potentially generating better ratings Reducing requirements for free cash...

3. Create a new unemployment rate variable and relate it to emergency road service. Give unemployment a lagged effect on emergency road service by using the unemployment rate for the month (1) three...

A small company with 12 employees is growing at a rate of 20% per year. It will need to hire more employees to keep up with the growth, assuming its business keeps growing at the same rate. a. How...

Find the value of u1, u2, and u3. Identify the type of sequence (arithmetic, geometric, or shifted geometric) and tell whether it is increasing or decreasing. a. u0 = 16 un = (1 - 0.05)un -1 + 16...

An anti-asthmatic drug has a half-life of about 9 hours. This means that 9 hours is the length of time it takes for the amount of drug present in a person's blood to decrease to half that amount. a....

Aunt Sallys Foods, Inc. is a full line producer and distributor of ready to use jarred food products such as gravies and sauces. Their products are well received in the marketplace competing with...

Neal Enterprises has no debt. Its current total value is $77.6 million. Assume the company sells $35.8 million in debt. Requirement 1: Ignoring taxes, what is the debt-equity ratio? (Do not round...

Ford Motor Company is discussing new ways to recapitalize the frm and raise additional capital. Its current capital structure has a 25% weight in equity, 15% in preferred stock, and 60% in debt. The...