GreenLawns provides a lawn fertilizing and weed control service. The company is

Question

GreenLawns provides a lawn fertilizing and weed control service. The company is adding a special aeration treatment as a low-cost extra service option, which it hopes will help attract new customers. Management is planning to promote this new service in two media: radio and direct-mail advertising. A media budget of $4,000 is available for this promotional campaign. Based on past experience in promoting its other services, GreenLawns has obtained the following estimate of the relationship between sales and the amount spent on promotion in these two media:

S = -2R2 ? 12M2 ? 9RM + 20R + 39M,

Where

S = total sales in thousands of dollars

R = thousands of dollars spent on radio advertising

M = thousands of dollars spent on direct-mail advertising

GreenLawns would like to develop a promotional strategy that will lead to maximum sales subject to the restriction provided by the media budget.

Explanation / Answer

the relationship between sales and the amount spent on the promotion in two media ( radio and direct mail advertising) is given by

S=-2R2-12M2-9RM+20R+39M

then part(a)

find the value of sales if 3000 is spent on radio advertising and 1000 is spent on mail advertising

so S=-2(3000)2-12(1000)2-9(3000)(1000)+20(3000)+39(1000)

=-56901000 ,value of the sales

Related Questions

Navigate

• Browse (All)
• Browse G
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.