3. Prove that if the more general form of the Cobb-Douglas production function Y = AK" L %3D exhibits constant returns to scale" then 3 1 - a.

Q: Consider the following optimisation problem max f(x, y) = t√x y, subject to tx2 + y ≤ 5 x ≥ 0, y ≥…

A: An optimization problem is given by, max fx, y = txy subject to tx2+y ≤ 5 for x≥0, y≥0. (a) The…

Q: The following equation is used to predict quarterly demand: Yt = 300 - 2t where = 1 in the second…

A: Quarterly demand is given by below equation: t quarter 0 q1 1 q2 2 q3 3 q4 4 q1 5 q2…

Q: 2. A product has a demand function p = 144 – x² and its supply function is p = = x2 + 10x + 116. a.…

A:

Q: 4 1 5 5 P(x, y) = 2100x (a) Find the number of units produced with 26 units of labor and 1236 units…

A: Given function p(x,y)=2100x45y15. The marginal productivity px at x=26, y=1236 is px(26,1236)=3637.…

Q: S/dy = 0.2 + e−1.5y      (i

A:

Q: If consumption is $3 billion when disposable income is $0, and if the marginal propensity to save i…

A: Given: To Find:

Q: Suppose that a demand function is linear-that is, q = m - np for 0 s ps m/n, where m and n are…

A: Given that demand function is                      q = m - np   for 0 ≤ p ≤ m/n…

Q: 7. Consider the following total revenue and total cost function: TR = 5900Q – 10Q² TC = 2Q3 – 4Q² +…

A:

Q: Suppose that the marginal propensity to consume is dc = 0.2 - e-2y (in billions of dollars) dy and…

A: Given, dCdy = 0.2 -e-2y   When y = 0  the  C = 5.4

Q: Find the marginal cost function. C(x) = 160 + 2.4x – 0.01x² c'(x) =O

A:

Q: A company determined that the marginal cost, C'(x) of producing the xth unit of a product is given…

A:

Q: Find the value of x for which the marginal profit is zero. C(x) = 2x, R(x) = 6x - 1,000 О а. х33,000…

A:

Q: 20. Given the demand function P = 80 – 2Q, what is the %D Marginal Revenue when P is 40? А. О В 1 с…

A:

Q: Example 16. q =b-!. Show that if T = ae4, then Marginal cost is equakto Average cost provided

A:

Q: Suppose that in a certain market the demand function for a product is given by 10p + q = 2,100 and…

A: The demand function is 10p+q=2100 and the supply function is 50p-q=1250 where p is price per item…

Q: Suppose that we were to model a continuous income stream using the function f(t)=t2 / (t-1)(t+1) for…

A: The function that models a continuous income stream is

Q: Suppose that the marginal propensity to consume is dC = 0.4 – e-0.2y dy (in billions of dollars) and…

A: Given that marginal propensity is dC/dy=0.4-e-0.2y We need to find national consumption function…

Q: If consumption is $9 billion when disposable income is $0, and if the marginal propensity to save is…

A: The disposable income is $0. The consumption at $0 disposable income is $9 billion. The marginal…

Q: Consider a cost function of the form for 0 1,000. 20, 000 + 980x – x² C(2) = {0" n an attempt to…

A:

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

A:

Q: suppose that the price p of a product and its demand x are related through the price-demand equation…

A: Given that the price-demand equation is x+400p=8000 To find the point intersection with the axes we…

Q: 4. A company possesses a major piece of equipment that denigrates at a continuous rate f = f(t),…

A: (a) Let F(t) be an antiderivative of f(s) Mathematically, it means: F'(s) = f(s) By Fundamental…

Q: A firm has two plants that produce identical output. The costs functions are C1=10q-4q^2+q^3 MC1 =…

A: Given A firm has two plants that produce identical outputs The cost functions are…

Q: The demand for a company's e-reader can be approximated by q(p) = 21e−0.02p million units per year…

A: Elasticity is given by the formula  E=dqdp×pq                     1

Q: Consider the following demand function: Step 1 of 2: Find the elasticity function. Answer E(x) = p =…

A:

Q: Suppose that in a certain market the demand function for a product is given by 10p + q = 2,100 and…

A: Given demand function for a product is 10p+q=2100 and the supply function is 50p-q=1250 The…

Q: Suppose that for a particular product, the number of units x produced per month depends on the…

A:

Q: 12. Given the revenue function r= 10 and when q = 20. 60q – 0.2q?, find the marginal revenue when q…

A:

Q: 7-)Determine the level of homogeniety and returns to scale of the following production functions: Q…

A:

Q: Given the marginal propensity to consume C'(Y) = 0.8 + 0.1Y-05 and the information that C = Y when…

A:

Q: Suppose that the marginal propensity to save is ds = 0.93 dy In(y + 1) (in billions of dollars) y +…

A:

Q: Minimize the current function Cost=4,32(pe +pp)+2,46(we +wp)+1,86(se +sp) Subjetct to pe +we + se =…

A: We will solve the linear programming problem using the Simplex method. The minimization problem…

Q: Suppose that in a certain market the demand function for a product is given by  10p + q = 2,100…

A:

Q: 5. Find the marginal product of labor (1) and the marginal product of capital (k) for the 0.6…

A: We have to find the marginal product of labor (l) and the marginal product of capital (k) for the…

Q: Under which condition(s) does an increase in the total inventory of space produce a decrease in the…

A: dqdS=dQSdS

Q: If consumption is $3 billion when disposable income is $0, and if the marginal propensity to save is…

A:

Q: 4. Consider a competitive industry with a large number of firms, all of which have identical cost…

A: Supply curve shows correlation between cost and quantity of goods.

Q: Find the producers' surplus if the supply function for pork bellies is given by the following. 3/2…

A:

Q: Suppose that the marginal propensity to save is ds In(y + 1) = 0.96 – dy (in billions of dollars) y…

A:

Q: 15 Find the marginal-revenue function if the demand function is p = In (q + 3) dr %3D dq

A: TO FIND MARGINAL REVENUE FUNCTION 1.REVENUE r(q) = pq 2.substitute values and solve 3.MARGINAL…

Q: 3. When x thousand dollars are spent on labor and y thousand dollars on equipment, the output of a…

A:

Q: 14. Show that the demand function D(p) =alp', where a and b are positive real numbers, has a…

A: Solution is given below:

Q: Suppose that in a certain market the demand function for a product is given by 10p + q = 2,300 and…

A:

Q: Qustion No. 2, Part (A) 0.8 + 0.1Y-0.5and the information that Given the marginal propensity to…

A: Consider the given function. C'Y=0.8+0.1Y-0.5 Further simplify.…

Q: Suppose that business travelers and vacationers have the following demand for airline tickets from…

A: Note: Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: If the consumer were to maximize her utility, what should be her level of consumption (in $) in the…

A: Since we have to maximize the utility , then Marginal Rate of Substitution : MRS = MUcMUc' = 1000c…

Q: If consumption is $2 billion when disposable income is $0, and if the marginal propensity to save is…

A:

Q: 1 If the marginal average cost of a company is MAC = 60 6000x-2, then %3D - the number of units must…

A: Relation between marginal cost average function, MAC and average cost function, AC is

Q: Suppose that in a certain market the demand function for a product is given by 10p + q = 2,100…

A: Given, Demand function 10p + q = 2,100   ---(i) Supply Function 50p − q = 150. Tax Levied=$3 per…

Q: 1. A certain manufacturer produces door handles and has a profit function P(x) = 5x – 0.05x? – 450…

A: Given: A profit function, P(x) = 5x - 0.05x2 – 450 a) If 150 handles are sold, P(150) = 5(150) -…