An advertising agency spends £x on a newspaper campaign and a further £y promoting its client's products on local radio. It receives 15% commission on all sales that the client receives. The agency has £10,000 to spend in total, and the client earns £M from its sales, where Page 3 of 4 M = 10,0(1 + )* + 40,00(1+)* -1 30 -1 + 40,000 (1+ y Determine how much should be spent on advertising in newspapers and on radio to maximise the agency's net income. Give your answers correct to the nearest integer. Estimate the profit when the budget available to spend is increased to £11,000.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter9: Quadratic Equations And Functions
Section9.5: Solve Applications Of Quadratic Equations
Problem 9.71TI: Find the base and height of a triangle whose base is four inches more than six times height and...
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An advertising agency spends £x on a newspaper campaign and a further £y
promoting its client's products on local radio. It receives 15% commission
on all sales that the client receives. The agency has £10,000 to spend in total,
and the client earns £M from its sales, where
Page 3 of 4
M = 10,00(1 + )" + 4000(1+ )*
+ 40,000 (1 +
Determine how much should be spent on advertising in newspapers and on
radio to maximise the agency's net income. Give your answers correct to the
nearest integer. Estimate the profit when the budget available to spend is
increased to £11,000.
Transcribed Image Text:An advertising agency spends £x on a newspaper campaign and a further £y promoting its client's products on local radio. It receives 15% commission on all sales that the client receives. The agency has £10,000 to spend in total, and the client earns £M from its sales, where Page 3 of 4 M = 10,00(1 + )" + 4000(1+ )* + 40,000 (1 + Determine how much should be spent on advertising in newspapers and on radio to maximise the agency's net income. Give your answers correct to the nearest integer. Estimate the profit when the budget available to spend is increased to £11,000.
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