Given the following u-k relationship, u = 30 ln (300/k) mi/h. Find the jam concentration, the...

Given the following u-k relationship, u = 30 ln (300/k) mi/h. Find the jam concentration, the capacity of the roadway, and the speed of the shock wave between conditions u_a = 60 mi/h and u_b = 40 mi/h.

Please write out the equations used before plugging in the numbers. Thanks!

Expert Solution

Ally Wells answered 1 year ago

Chepa’s utility function is given by U (x, y) = ln x + 4 ln y....

Chepa’s utility function is given by U (x, y) = ln x + 4 ln y. Assume that Chepa has endowments (10, 10) and that Py = 10 throughout the problem. (h) This part of the question is to investigate Chepa’s welfare under different prices. We will do it step by step. (i) By substituting out the M with the expression of Chepa’s endowment income (see part (g)), obtain Chepa’s gross demands as functions of Px. (ii) Plug your answer...

An individual has the utility function: u(c,h)= ln(c) -a/Hwhere C represents consumer spending. H...

An individual has the utility function: u(c,h)= ln(c) - a/Hwhere C represents consumer spending. H is the amount spent on insurance disease. The parameter α indicates whether the individual is sick or not, such that α = 0 when the person is in good health and α = 1 when the person is sick. The probability of getting sick is equal to k. The individual has an income m, and has the budget constraint C + H = m.The individual...

Write the demand functions for the following utility function: U = ln(x) + ln(y)

Given the following keys: 77, 109, 69, 99, 16, 100, 60 Also given h(k) = k...

Given the following keys: 77, 109, 69, 99, 16, 100, 60 Also given h(k) = k mod m Given size of the Hash Table (m) = 11 a) Find out hash values for each key (k) b) Find out the load factor. c) Construct Hash Table and use Linear Probing to resolve collision.

Consider the following hypothesis test: H 0: u = 16 H a: u ≠ 16 A...

Consider the following hypothesis test: H 0: u = 16 H a: u ≠ 16 A sample of 50 provided a sample mean of 14.13. The population standard deviation is 3. a. Compute the value of the test statistic (to 2 decimals). (If answer is negative, use minus “-“ sign.) b. What is the p-value (to 4 decimals)? c. Using = .05, can it be concluded that the population mean is not equal to 16? (yes, no) Answer the next three...

How is pH determined? What is the relationship between H+ concentration and pH value?

Consider the utility functions of three individuals: u(x) = x1/2, v(x) = ln x, and h(x)...

Consider the utility functions of three individuals: u(x) = x1/2, v(x) = ln x, and h(x) = x – 0.01 x2, where x represents wealth. Consider also the following lotteries: X = (w0 + x1, w0 + x2, w0 + x3; ¼, ½, ¼ ) = (4, 16, 25; ¼, ½, ¼), where w0 = $2, and lottery Y in which w1 = $10, so that Y = (12, 24, 33; ¼, ½, ¼). Note that Y = X +...

1. Given h = Sha256(K ∥ M), where K is a secret and "∥" means concatenation...

1. Given h = Sha256(K ∥ M), where K is a secret and "∥" means concatenation (no padding is involved in calculating h). Describe a message X such that one can calculate Sha256(K ∥ X) without knowing K. Note that your described X should not the same as M, but could be a concatenated message 2. Given h = Sha256(M ∥ K), where K is a secret and "∥" means concatenation (no padding is involved in calculating h). Can you...

Dacia and Romalia are two countries with the production function given by the following relationship: f(k)...

Dacia and Romalia are two countries with the production function given by the following relationship: f(k) = 6 k1/2. Capital to labour ratio in Dacia is twice of that of Romalia. Dacia has a 10% saving rate, 10% population growth rate, and 5% depreciation rate, while Romalia has a 20% saving rate, 10% population growth rate, and 20% depreciation rate. Compute the following: a) Steady-state capital- labour ratio for each country. Does the initial capital-labour ratio affect the results? b)...

Design an ideal abrupt silicon PN-junction at 300 K such that the donor impurity concentration Nd...

Design an ideal abrupt silicon PN-junction at 300 K such that the donor impurity concentration Nd (in cm^?3 ) in n-side is Nd = 5×10^15 /cm3 and the acceptor impurity concentration Na in the p-side is Na = 817 ×10^15 /cm3 Given: the diode area A = 2×10^?3 cm2 , ni = 10^10/cm3 , ?n = 10^?8 s and ?p = 10^?7 s, Refer to text books, lecture notes, etc for other parameters such Dn, etc., and state clearly in...

Question