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(a) Verify that Theorem 7.14 from Chapter 7 can be applied to the optimal growth problem in the baseline Schumpeterian model of Section 14.1.
(b) Show that the solution to this problem is unique. [Hint: recall Exercise 8.11 in Chapter 8.]
(c) Derive (14.27).
Exercise 8.11
Use an argument similar to that of the proof of Mangasarian's sufficiency result (Theorem 7.5) to show that because the representative household's Hamiltonian in the neoclassical growth model, H (t, a, c, μ), is concave in (a, c) and strictly concave in
c, the path of consumption and assets given by (8.17)-(8.19) is the unique solution to the household's maximization problem.
Country A has soil that is suited to corn production and yields 135 bushels per acre. Country B has soil that is not suited for corn and yields only 45 bushels per acre. Country A has soil that is not suited for soybean production and yields 15 bu..
Is the ATC sloping up or down at the current equilibrium? [Hint: is the MC above or below the ATC at the chosen output?]
A printer's wage rate is $20, and the price of a printing press is $5,000. The last printer added 20 books to total output, while the last press added 1,000 books to total output. Is the publishing house making the optimal input choice.
Suppose the import ban protects 10 jobs in the kiwi fruit industry. What is the cost to consumers for each job protected?
If an alternative has monthly payments of $10,000 a month for three years with a purchase price of $75,000 at the end of year three, what would the cash flow diagram look like?
If firm A decides to adopt the innovation and firm B decides not to adopt it, A earns $20 (minus the cost of the innovation) while B earns $0. If firm A adopts the innovation and firm B adopts it as well, each firm earns $15 minus the cost of the ..
The price elasticity of demand for heroin is .27. Suppose that half of the existing heroin users support their habits with property crime. Further, the loss from property crimes committed by heroin users equals half of the total spending (total r..
What is the total fixed cost of production in this example?
A ride is built and Revenue is projected to be $1 million initially (i.e., at time 0), $1.05 million after the first month, $1.1025 million after the second month, and amounts increasing by 5% each month through the first year.
intermediaries come from a competitive market with an equilibrium price of $8 per unit for their services, that is, any buyer or seller who wants intermediary's services must pay $8 for them. What is the maximum per unit that sellers are willing t..
Cooper Bank is considering making a loan to Valles Global Industries to buy a machine tool worth $300 million at 1% interest. The tool has no salvage value and is depreciated over 3 years by sum-of-years digits. In this state, VGI pays 50% tax. ..
Output variable: 1 2 3 4 5 6 7 8 9 Costs: $35 75 110 140 175 215 260 315 390 a) Show AFC, ATC, AVC and MC in a table b) GRaph th AFC, ATC, AVC and MC curves. Say fixed costs dropped to $50. Which curves shifted.
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