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. The maximum sustainable effort level is an effort level that maximizes b s. Then, the maximum sustainable effort level, Em= integer (you can round the number). Hint: Write an

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. The maximum sustainable effort level is an effort level that maximizes b s. Then, the maximum sustainable effort level, Em= integer (you can round the number). Hint: Write an

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Suppose you have t = 5 hours in total to spend on some projects to make some money. The table below shows how many dollars you can make (Total Revenue) in each of the three projects I, II, III if you spend the corresponding number of hours on that project: How would you allocate your time across the projects?What is the maximum total money you could make?
.A company can sell its only product and in a perfectly competitive market at a price of 15. To produce it, it must purchase two production inputs: labor (x1) and machinery (x2). Initially, the company only has 1 machine and it is not possible to change this in the short term. Inputs are purchased in competitive markets with respective prices (w1, w2) = (5,10). The production function is as follows: 3 2/3 1/3 f(x,x2) a) Present the problem of maximization of the company. b) Find the first order condition that must be solved to find the optimal level of supplies. c) Find the optimal input level x1 that the company must contract in the above problem to maximize your profits.
suppose noW that the firm must pay a fixed cost of ē > 0 in order to produce (e.g., this could be the cost of buying a manufacturing plant). If the firm chooses not to produce at all, it does not incur the fixed cost. If it chooses to produce any strictly positive quantity, it must incur the full fixed cost of č. Suppose p = w = r = 4. When will the firm choose to produce a strictly positive amount of the good Y? Write down the firm's supply and profit functions.
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For firm A, is the following an internal or external economy of scale? Firm A benefits from lower administration costs per unit as a result of opening a second factory.
Introduction to Calculus in Economics (continued): In the previous Problem Set question, we started looking at the cost function C (æ), the cost of a firm producing z items. An important microeconomics concept is the marginal cost, defined in (non- mathematical introductory) economics as the cost of producing one additional item. If the current production level is æ items with cost C (z), then the cost of computing h additionial (C(z+h)-C(z)) items is C (z + h). The average cost of those h items is . As we analyze the cost of just the last item produced, this can be made into a mathematical model by taking the limit as h → 0, i.e. the derivative C' (z). Use this function in the model below for the Marginal Cost function MC (x). Problem Set question: The cost, in dollars, of producing z units of a certain item is given by C (z) = 0.02a3 – 10z + 450. (a) Find the marginal cost function. MC (z) (b) Find the marginal cost when 50 units of the item are produced. The marginal cost when 50…
In a fishery the long-run harvest function (harvest volume) is H(E) = aE – bE², with a, b representing positive constants and E is fishing effort. - Total cost is TC(E)= cE,with c being the unit cost of effort. Total revenue is TR(E) = pH(E), with p being the constant price of fish. Suppose that, because of an increase in world demand, the price of the fish from this fishery rises significantly. • Illustrate and explain the impact of this price-increase on the fish stock and the competitive level of effort (or employment) in the fishery. What can be said about the long-run impact on the fish catch? Is it positive, negative, or indeterminate? Explain.
The water Economist has estimated short run water responsiveness function for rice farming under major irrigation condition in the Dry Zone of "x" counry as follows;Y = 21W +30.3W2 – 3W3, Where Y = Output (paddy kg /Acre) , W = irrigation Water (Cubic Meter – m3) a) Determine three stages of this short run production process and graphically show the result. b) Determine rational production stage and what is the maximum and minimum output level of this rational stage. c) Determine the range of water level which is representing the low of diminishing marginal returns.
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For each of the following production functions Q = f(K,L), find the marginal productivity with respect to K and L a) Q = 5KL – 2K² – 2L² at K = 1 and L = 1 %3D 1 b) Q = 0.03K³ – 0.4KL + 0.5L7 at K = 8 and L = 4 -
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At the optimal level of R&D, what is the relationship between the marginal benefit (MB) and marginal (MC)? MBMC