The reproduction function for a sardine is  f(p) = −0.0005p2 + 4p,  where p and  f(p)  are in hundred metric tons. Find the population that gives the maximum sustainable yield, and the size of the yield.

Q: The cost C (in dollars) of producing x units of a Lithium battery-powered drill is given by C(x) =…

A: Since you have asked a question with multiple question in a single request, we would be answering…

Q: The marginal cost of producing the xth box of light bulbs is  5 −x/30000,  and the fixed cost is…

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Q: Given: (x is number of items) 3042 Demand function: d(x) Supply function: s(x) = 2/x Find the…

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Q: A population of bacteria is initially 8000. After three hours the population is 4000. If this rate…

A: Given,          A population of bacteria is initially 8000. afters three hours the population is…

Q: Find the maximum sustainable harvest of the given function. f(S) = 24S025, where S is measured in…

A: Consider the given function fS=24S0.25 , where S is measured in thousands Suppose HS be the harvest…

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Q: For the given cost function C(x)=10000+700x+x2C(x)=10000+700x+x2,First, find the average cost…

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Q: By natural increase, a city whose population is 40,000 will double in 50 yrs. There is a net…

A: This question is related to population growth, We will solve it using given information.

Q: The marginal cost of producing the xth box of light bulbs is 14-(x/10000), and the fixed cost is…

A: Given, Marginal cost = dC/dx = 14 - x/10000 now dC/dx = 14 - x/10000 dC = (14 - x/10000) dx…

Q: A company manufacturing laundry sinks has fixed costs of $100 per day but has total costs of $2,500…

A: Given, Demand function is, q=360-pp=360-q Now, the Revenue function is, Rq=pq=360-qq=360q-q2…

Q: Given a total-revenue function R(x) = 800/x - 0.2x and a total-cost function C(x) = 1600 (x +5)+…

A: Total-revenue function R(x)= 800x2-0.2x Total-cost function C(x)= 1600(x2+5)13+500 Profit function…

Q: The demand for a particular item is given by the demand function D(x) = 1400 – x² Find the…

A: Given, The demand function is given by Dx=1400-x2 Equilibrium point xe, pe=5, 1375

Q: Find p1 and p2, the prices per unit (in dollars), so as to maximize the total revenue R = X1P1 +…

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Q: The demand for a particular item is given by the demand function D(x) = 1100 - x² %3D Find the…

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Q: Exercise 4. Suppose a publishing company has found that the marginal cost at a level of production…

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Q: A manufacture has been selling 1800 television sets a week at $540 each. A market survey indicates…

A: Given : A manufacture has been selling 1800 television sets a week at $540 each. A market survey…

Q: For the demand function Qd= a- bP and the supply function Qs=dP-c, using Cramer's rule, determine…

A: To determine the equilibrium proce and equilibrium quantity.

Q: Consider the production function:           Y = 0.75X + 0.0042X2 – 0.000023X3 (a) At what level of…

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Q: 17. Given a demand function, p=v15x + 0<x<65, find the value of x x- 65 Use R=xp that produces a…

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Q: The marginal cost of producing the xth box of lightbulbs is 10-x/30000, and the fixed cost is…

A: Given,         The marginal cost of producing the xth box of lightbulbs is 10-x30000 , and the fixed…

Q: Write the formula for the cost function C(x) in terms of R(x) and P(x).

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Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: The given equation is Ct=8e-0.4t-e-0.6t. Equate the derivative of C to zero as follows:…

Q: A manufacture has been selling 1050 television sets a week at $510 each. A market survey indicates…

A: Here we solve the given problem.

Q: For demand function Qd = a-bP and supply function Qs = dP-c, using Cramer’s rule determine…

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Q: The demand function for a certain commodity is p(x)=10−0.001x, where p is measured in dollars and x…

A: Given data:     The expression for the demand function for a certain commodity is: p(x)=10-0.001x.…

Q: The annual total revenue for a wis given by R(x)=24,000x-6x^2 dollars, where x is the number of…

A: To find maximum no of units sold. Also to find maximum possible annual revenue.

Q: Find producer's surplus at the market equilibrium point if supply function is p= 0.7x+12 and the…

A: Given that, Supply function is, p = 0.7x + 12 and the demand function is, p = 164.7/x We have to…

Q: Marine ecologists estimate the reproduction curve for swordfish in a fishing ground to be  f(p) =…

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Q: The demand for widgets is Q = 20/p. When p=4, the price elasticity of demand . dQ_P is equal to: dp…

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Q: Solve the non-linear function using NR AND Secant Method. Use 5 decimal values and stop at & ≤…

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Q: According to the U.S. Census Bureau, the population of the United States in 2008 was 304 million…

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Q: Find the demand function p, given the marginal-revenue function dr/dq below. dr = 269 – 9q - 1.29 dq…

A: Here, the given marginal revenue function is: drdq=269-9q-1.2q2...(1) where r is the revenue…

Q: Y = 0.75X + 0.0042X2 – 0.00023x3 At what level of X, the output will be maximum?

A: Given: .

Q: A fast food restaurant hos a cost Production C(x) = ||x+120 and arevenue function R (x) = 5x,When…

A: Consider the profit function is P(x)=R(x)-C(x) when this function is more than 0 then company makes…

Q: A bacteria culture starts with a population of 1000 bacteria, and after 2 hours, the population grew…

A: Solution and Explanation is given below

Q: Find consumer's surplus at the market equilibrium point given that the demand function is p=V529 68x…

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Q: The marginal cost of producing the xth box of light bulbs is  10 − X/20000,  and the fixed cost is…

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Q: For the supply function s(x) and demand level x, find the producers' surplus. s(x) = 0.02x, x = 200…

A: For this problem, we have to find producer surplus.

Q: Consider the cost function C(x) = −x^3 + 10x^2 + 20x. Find the maximum of the average cost function.

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Q: Find the cost function C(x)-

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Q: For the given cost function C(x) = 52900 + 400x + x2, First, find the average cost function. Use it…

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Q: Given a total-revenue function R(x) = 900/x -0.1x and a total-cost function C(x) = 1400 (x +2) +800,…

A: Given, Total revenue function Rx=900x2-0.1x Total cost function Cx=1400x2+213+800 We have to find…

Q: For the supply function s(x) and demand level x, find the producers' surplus. s(x) = 0.09x2, x =…

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Q: The total cost of producing w phone sets per day at Cutting Edge Electronics plant is $( ½ w^2 + 70w…

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Q: The demand and supply functions for your college newspaper are, q = −11,000p + 2,200 and q = 3,000p…

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Q: For the production function given by x-2 Hab - Aa² - Bb², ow that the marginal rate of technical…

A: The marginal rate of technical substitution (MRTS) shows the rate at which  one input can be…

Q: 7. Find the price per unit p that produces the maximum profit given

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Q: A firm sells a product for $80 per unit. Raw material costs are $12,50 per unit, labor costs are…

A: a) To determine: The profit function: It is given that x are the sold units. Now we know that,…

Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: Let C be the concentration of the antibiotic in μg/mL t hours after the antibiotic is taken. Given…

Q: For the demand function d(x) and demand level x, find the consumers' surplus. d(x) = 250 − 0.06x2,…

A: For the demand function d(x) and demand level x, find the consumers' surplus. d(x) = 250 −…