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- Suppose that a political campaign by Loki estimates that the candidate’s polling percentage yand the amount x (in hundred thousands of pesos) that is spent on television advertising arerelated 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 therate 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 socialmedia. If Loki’s team plans on spending P400,000 on social media advertising and the rateof spending is at P100,000 per week, at what rate will the polling percentage increase?B(Q) = 100 + 36Q – 4Q2 and C(Q) =80 + 12Q. What is N(Q)? What are the net benefits when Q = 1? Q = 5?Net benefits when Q = 1: $ Net benefits when Q = 5: $ Write out the equation for the marginal net benefits. What are the marginal net benefits when Q = 1? Q = 5? What level of Q maximizes net benefits? Q = At the value of Q that maximizes net benefits, what is the value of marginal net benefits? MNB =Please can you answer quicklyz= x² + xy + y² - yWhat is the x-component of the minimum point of function?
- The number of oil changes per hour at Quick Lube is described by the following short-term production function: Q=10L−0.5L2 If oil changes (Q) sell for $20 each and labor (L) costs $40 per hour (wage), what is the optimal number of units of labor to hire per hour? How many oil changes will be completed?How did you apply the concept of maxima/minima in answering the problem? Angelo, who is in a rowboat 2 kilometers from a straight shoreline wishes to go back to his house, which is on the shoreline and 6 kilometers from the point on the shoreline nearest Angelo. If he can row at 6 kph and run at 10 kph, how should he proceed to get to his house in the least amount of time?Find the relative maxima or minima. Maximum of ƒ(x, y) = 12xy - x2 - 3y2, subject to x + y = 16
