The owner of Mujur Café estimates that the café's revenue has grown exponentially represented by the dR function R'(t) = Cekt, where t is time (month) and k is a constant growth (note: R'(t) = or it is the dt" rate of growth of revenue function). If it is assumed that R'(0) = Rp 50,000,000 per month and R'(1) = Rp 60,000,000 per month, then

The owner of Mujur Café estimates that the café's revenue has grown exponentially represented by the dR function R'(t) = Cekt, where t is time (month) and k is a constant growth (note: R'(t) = or it is the dt" rate of growth of revenue function). If it is assumed that R'(0) = Rp 50,000,000 per month and R'(1) = Rp 60,000,000 per month, then

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

See similar textbooks

Similar questions

Was there an error in calculation of average productivity? Since Function q = 10 L - 80 - 0.2L^2 then q/L = 10 - 80/L - 0.2 L, correct?Can you verify? Thanks
Hi, just wanted to ask why the simplification changes x(V-x^2/2) to (1-x)*(V-x^2/2)
The production of a certain good in terms of the amount of labour invested L and the amount of capital invested K, is given by the production function Q = 5 L²/3 K ¹/3 At this moment 512 units of labour and 1 000 units of capital are invested daily. This means that at this moment 3200 units are produced daily. a) The company receives an order for 3200 units. Give an implicit equation for the combinations (L, K) resulting in a production of 3200 units. b) Determine K'(L) for L = 100 using implicit differentiation. Interpret your result in a sentence in the context of the word problem. c) Determine the following expression and interpret your result in a sentence in the context of the word problem: 100 K'(100) K d) Set up the graph of K as a function of L using a logarithmic scale on both axes. Interpret the slope in L = 100.
2. (This problem derives the general result that any polynomial function is of a lower asymptotic order than any exponential function.) First, we prove a special case. Suppose that we have two functions, f(n) = n² and g(n) = 2". We will prove that f(n) = O(g(n)). • port (a). (c) Show that, for any n ≥ no, it must be the case that f(n) ≤ cog(n) = f(n+1) ≤ cog(n+1). Precisely state the argument by induction that n² = 0(2¹). Now, define f(n) = nk where k ≥ 1, g(n) = a", where a ≥ 1. (d) (Slightly harder). Argue that, for any k and a, there exists some n₁ such that : (1₁+¹)* < a.
2. (This problem derives the general result that any polynomial function is of a lower asymptotic order than any exponential function.) First, we prove a special case. Suppose that we have two functions, f(n) = n² and g(n) = 2". We will prove that f(n) = O(g(n)). (e) (Slightly harder) Find a constant c₁ such that f(ni) ≤ cig(n1), where n₁ is defined as in part (d). (f) (Harder) Show that, for any n ≥ n₁, it must be the case that f(n) ≤ cig(n) ⇒ f(n+1) ≤ cig(n+1), and therefore nk = O(a") for all k, a ≥ 1.
E1
Doubt: Calculations obtained from TC come from function TC = 80 + 3q + 2q2? For example, for q = 1, for me it is TC = 85, not 83 and so on. Please check it. Thanks
Suppose that the average yearly cost per item for producing x items of a business product is 81 If the current production is x - 9 and production is increasing at a rate of 4 items per year, find the rate of change of the average cost. The average cost is decreasing at the rate of S per year.
solve number 4 only
oj Consider the Cobb-Douglas production function P(L, K) = 6L0.6 K04_ Find the %3D total units of production when 19 units of labor and 12 units of capital are invested.
AS U4 Read the following scenario. Superconductor technology is becoming a widespread and indispensible component of the machines we use today. Superconductors can be found in everything from transportation to electronic signal transmission. Due to our increasing reliance on technology, the demand for superconductors has skyrocketed. As a result, production has also increased exponentially, which has greatly reduced the cost per unit. Use the scenario to answer the following question. Calculate a long-run average cost curve for superconductors.