Suppose that Ralf enjoys collecting morel mushrooms from the forest. The marginal benefit that he receives (in dollar terms) from each additional mushroom can be represented by the function MB = 42 – 4m (where m represents the quantity of mushrooms). Ralf’s marginal cost of collecting mushrooms is given (in dollar terms) by the function MC = 2m.
Suppose that Ralf enjoys collecting morel mushrooms from the forest. The marginal benefit that he receives...
(1) Suppose that Ralf enjoys collecting morel mushrooms from the forest. The marginal benefit that he receives (in dollar terms) from each additional mushroom can be represented by the function MB = 42 – 4m (where m represents the quantity of mushrooms). Ralf’s marginal cost of collecting mushrooms is given (in dollar terms) by the function MC = 2m. A.How many morel mushrooms will Ralf optimally collect? In other words, what quantity of mushrooms maximizes Ralf's net benefits? Show your...
Ralf enjoys fishing. The total benefits (in dollars) he obtains from time spent fishing are given by TB = 40*ln(h), where ln( ) is the natural log function, and h is hours spent fishing. Because he has to miss work, where he earns a wage of $8 per hour, his marginal cost of time spent fishing is MC = 8. Solve for the optimal quantity of hours that Ralf will spend fishing and show your work. Generate a graph in...
(2) Ralf also enjoys fishing. The total benefits (in dollars) he obtains from time spent fishing are given by TB = 40*ln(h), where ln(.) is the natural log function, and h is hours spent fishing. Because he has to miss work, where he earns a wage of $8 per hour, his marginal cost of time spent fishing is MC = 8. A.Solve for the optimal quantity of hours that Ralf will spend fishing and show your work. Hint: You may...
Question 2: Working with Marginal Benefits and Costs Suppose the total benefit derived from a continuous decisions, Q, is B() 200-202 and the total cost from deciding Q is C(Q)-4Q +20. The marginal benefit (MB) and marginal cost (MC) is the first order derivative of these functions. MB)2040 and MC() 4 +40 (1) (4 points, 2 each) What is the total benefit when Q-2? Q-10? (2) (4 points, 2 each) What is the marginal benefit when Q-2? Q 10? (3)...
Question 2: Working with Marginal Benefits and Costs Suppose the total benefit derived from a continuous decisions, Q, ís B(Q) = 200-202 and the total cost from deciding Q is C(O) 4+2Q. The marginal benefit (MB) and marginal cost (MC) is the first order derivative of these functions. MBO) 20-4 and MC(O) 4+40 (1) (4 points, 2 each) What is the total benefit when Q-2? Q-10? (2) (4 points, 2 each) What is the marginal benefit when Q-2? Q-10? (3)...
Suppose the total benefit derived from a continuous decisions, Q, is B(Q) = 20Q − 2Q and the 2 total cost from deciding Q is C(Q) = 4Q + 2Q . The marginal benefit (MB) and marginal cost (MC) 2 is the first order derivative of these functions. MB(Q) = 20 − 4Q and MC(Q) = 4 + 4Q . (1) (4 points, 2 each) What is the total benefit when Q=2? Q=10? (2) (4 points, 2 each) What is...
(3) A village of 20 people is deciding how much open-space land to acquire. Because of differences in preferences, there are two types of demand functions for open-space land amongst the citizens. In particular, 10 of the people have a demand function given by P = 10 – Q, while the remaining 10 have the demand function P = 8 – 2Q, where Q is quantity of open-space in acres and P is price in dollars. a. Since the open-space...
A village of 20 people is deciding how much open-space land to acquire. Because of differences in preferences, there are two types of demand functions for open-space land amongst the citizens. In particular, 10 of the people have a demand function given by P = 10 – Q, while the remaining 10 have the demand function P = 8 – 2Q, where Q is quantity of open-space in acres and P is price in dollars. Since the open-space land is...
This problem asks you to analyze environmental quality as a public good, but using a slightly different approach than was used in the class example. In class we measured environmental quality by the percent abated (20%, 60% etc), this time we will measure environmental quality in terms of the quantity of pollution abated. I ask you to go into some detail about your calculations, to illustrate your understanding intuitively and technically. The Valley of Grimes is inhabited by three people...