Suppose that a political campaign by Loki estimates that the candidate’s polling percentage y and the amount x (in hundred thousands of pesos) that is spent on television advertising are related by y = e^0.3x + (5lnx)^2 while the amount that is spent on social media advertising are related by (x −3)^4 + 3y = x. (a) If P300,000 has been spent on television advertising by Loki’s campaign, determine the rate of spending that will increase his polling percentage by 2 percentage points per week. (b) Suppose that Loki’s political adversary, Thor, is slowly ramping up his presence on social media. If Loki’s team plans on spending P400,000 on social media advertising and the rate of spending is at P100,000 per week, at what rate will the polling percentage increase?
Suppose that a political campaign by Loki estimates that the candidate’s polling percentage y
and the amount x (in hundred thousands of pesos) that is spent on television advertising are
related by y = e^0.3x + (5lnx)^2 while the amount that is spent on social media advertising are related by (x −3)^4 + 3y = x.
(a) If P300,000 has been spent on television advertising by Loki’s campaign, determine the
rate of spending that will increase his polling percentage by 2 percentage points per week.
(b) Suppose that Loki’s political adversary, Thor, is slowly ramping up his presence on social
media. If Loki’s team plans on spending P400,000 on social media advertising and the rate
of spending is at P100,000 per week, at what rate will the polling percentage increase?
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