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5. Suppose for an economic activity, your total benet and total cost functions are B (x) = 654x - 40x2 and C (x) = 110x +120x2 , respectively. The corresponding marginal formulas will be MB (x) = 654 - 80x and MC (x) = 110 + 240x. What is your best choice?

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Related questions

Suppose the total benefit derived from a given decision, Q, is B(Q)=25Q-Q^2 and the corresponding total cost is C(Q) = 5 + Q^2 so that MB(Q) = 25 -2Q and MC(Q) = 2Q
What is the total cost when Q=2 and when Q=10
What is the marginal cost when Q=2 and q=10
What level of Q minimizes total cost?
What level of Q maximizes net benefits?

I need help double-checking my homework please help if you can. This is all one problem, there are two parts to the problem but this is one problem. Please also show how you arrived at the answer and everything

Suppose the total benefit derived from a given decision, Q, is B(Q)=25Q-Q^2 and the corresponding total cost is C(Q) = 5 + Q^2 so that MB(Q) = 25 -2Q and MC(Q) = 2Q

What level of Q minimizes total cost?
What level of Q maximizes net benefits?

For the maximizes net benefits part I have gotten 12.5 and 6.5.
If someone could please show me the correct way to find the answers it would be much appreciated.

1. Suppose marginal cost of abating X units of pollution is given by: MC(X) = 2X and marginal benefits are MB(X) = 16-2x when X<= 3 and 10 when X > 3. Current pollution = 6.

a.) What is the optimal level of pollution abatement, X*? How much pollution is there when X = X*?

COMMENT: For this part I set 2x = 16-2x and got 4 but 4>3 so I don't think that's a valid solution. So I set 2x = 10 when X >3 and got 5, what's the correct approach?

b.) What are total costs, marginal costs, and total net benefits at X = X*?

c.) What is the total net benefit of making (and encofring) a rule that bans pollution completely? What is the marginal benefit from removing the last little bit of pollution (i.e. the marginal benefit around the point X = Xmax)

d.) Suppose air pollution abatement in the U.S. is currently X* (that is, we currently have the ideal amount of air pollution given the costs and benefits of abatement). Now suppose that an effective vaccine against asthma is invented and given to everyone. Would this increase or decrease X*? Come up with your own example of a new technology that would move X* in the opposite direction and explain why it would have this effect.

Poster below me asked for irrelevant information that is not needed to answer the question.

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