The biological relationship between the growth for the fish population and the size of the fish population is g= 12S(1-S/4) where g is the growth of the fish population and S is the size of the population. The size of the harvest is a function of the amount of human effort expended b = 3ES where E is the level of effort. Market price of fish per unit is $100 and a constant marginal cost of effort is $40. We can derive the free-access equilibrium effort level E f by setting the net benefits function equal to zero. Then, Ef= in one decimal place. .Hint: Write the number
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- In the Faustmann model, what factors determine the marginal benefits and marginal costs of allowing a stand of trees to continue to grow for another year, and therefore the dynamically efficient harvest interval?The number of units Q of a particular commodity that will be produced with K thousand dollars of capital expenditure is modeled by Q(K) = 500 . Suppose that capital expenditure varies with time in such a way that t months from now there will be K(t) thousand dollars of capital expenditure, where K(t) = 2t^4 + 3t + 149 / t + 2 (a) What will be the capital expenditure 3 months from now? How many units will be produced at this time?Question #2. Attached (below) is a diagram of a bio-economic model reflecting the relationships between the biological growth of a stock of fish and three different rates of harvest—H1, H2, and H3. In this model, dX/dt=F(X)—the change in the stock with respect to time and biomass— is captured in the parabola. Use the diagram to answer the following questions. On the diagram, the point A refers to a specific and important biological point on the growth curve. What is this point and what is its significance? On the diagram, the point B refers to a biologically important value. What is this value and what is its significance? Consider point C on the diagram. Assume that the stock of fish is just to the right of this point, but still to the left of B. Assume the harvest level is maintained at H3. Over time, what would happen to the stock of fish and the size of the harvest? Consider point D on the diagram. Assume the stock of fish is just to the right of D but still to the left…
- Assume the relationship between the growth of a fish population and the population size can be represented as g= 8S – 0.2S2, where g is the growth in tons and S is the size of the population (in thousands of tons) a. Given a price of $100 a ton of fish, what is the marginal benefit of smaller population sizes?Suppose that the marginal cost of extracting a non-renewable natural resource is MXC(Q) = 10 and the marginal beneÖt of using the resource are MB(Q) = 90Q. In the context of a static model, address the following question: Calculate the efficient value of Q if the total stock of the natural resource is Q = 50: Provide a graphical representation of the solution.Please answer question 3 a and b b.A clothing manufacturer makes trousers, skirts and blouses. Each trouser requires 20 minutes of cutting time, 60 minutes of sewing time and 5 minutes of packaging time. Each skirt requires 15 minutes of cutting time, 30 minutes of sewing time and 12 minutes of packaging time. Each blouse requires 10 minutes of cutting time, 24 minutes of sewing time and 6 minutes of packaging time. The amount of time available for cutting, sewing and packaging is 115 hours, 280 hours and 65 hours respectively. Using either the Inverse Method or the Cramer’s Rule, determine how many of each type of clothing should be made to use all available labor hours?
- Question: Suppose that the marginal cost of extracting a non-renewable natural resource is MXC(Q) = 10 and the marginal beneÖt of using the resource are MB(Q) = 90Q. In the context of a static model, address the following question: Calculate the efficient value of Q if the total stock of the natural resource is Q = 50: Provide a graphical representation of the solution. My Note: This is my first time resubmitting, I was told to confirm that MXC(Q) =10 is the correct form of the Marginal cost of extraction to answer this question correctly. I'm not sure but this is the way my professor asked his question.The price of crude oil during the period 2000-2010 can be approximated by P(t) = 6t + 18 dollars per barrel (0 ≤ t ≤ 10) in year t, where t = 0 represents 2000. Saudi Arabia's crude oil production over the same period can be approximated by Q(t) = −0.036t2 + 0.62t + 8 million barrels per day (0 ≤ t ≤ 10). † Use these models to estimate Saudi Arabia's daily oil revenue and also its rate of change in 2008. (Round your answers to the nearest $1 million.) daily oil revenue $ million rate of change in 2008 $ million/yrSuppose that the marginal cost of extracting a non-renewable natural resource is MXC(Q) = 10 and the marginal benefit of using the resource is MB(Q) = 90Q. In the context of a static model, address the following questions. (a) Calculate the efficient value of Q if the total stock of the natural resource is Q = 50: Provide a graphical representation of the solution.
- . Find the equilibrium solution of given economic models, a- Qd = 8 – P2 , Qs = P2 – 2It is known that a certain company sells each kg of the product it manufactures at $80, it is also known that the total manufacturing cost "CT" is given by the function CT=(1/1000)x2 +100 , where "x" are the kg of product produced. a) How many units of "x" must the company sell to break even? Value = 100 points.b) How many units of "x" is the optimal quantity that should be sold to optimize the producer's profit? Value = 100 points.c) How many monetary units does that optimal profit for producers amount to? (remember, you will have to prove it mathematically either by the method of the first or by the method of the second derivative). Value = 100 points.Consider the following two-period model of dynamically efficient extraction of a non-renewable natural resource. The constant social marginal cost of extraction is 40 in each period and the total stock of the resource is Q = 300 units. Moreover, the social marginal beneÖt is MB(Qt) = 200 Qt, where Qt is the quantity of resource extracted in period t, for t = 0; 1. The discount factor is 0:8.(a) What is the efficient quantity of resources extracted in each period? Provide a graphical representation of the solution. (b) What is the marginal user cost (or scarcity rent) of the resource in each period? (c) Suppose that there is a market to trade the resource. What is the equilibrium price corresponding to each period? Justify the answer. (d) Suppose that it is now expected that because of an extraction technol- ogy improvement, while the Örst period marginal cost of extraction will still remain MXC1 = 40, the second period one will now de- crease to MXC2 = 20. Answer the previous…