Simon spends his income, $100, on food (f) and video games (v) with prices p_f= 7 and p_v = 1. Assume that f ≥ 0, v ≥ 0. His preferences are given by u(f, v) = f^0.7 *v^0.3 . Paul’s Marshallian demand is . (a) (11, 23) (b) (5, 65) (c) (10, 30) (d) (10, 25)

Read chapter 18 and pick ONE of the cases in this chapter to discuss: Anderson v. Country Life Insurance, Mendenhall v. Hanesbrands, INC., O'Brien v. Ohio State University, or Hoosier Energy Rural Electric cooperative, INC. v. John Hancock Life Insurance Co. Share with the class your impression of the case and why you agree or disagree with the court's holding.

The pressure p and volume v of a given mass of gas are connected by the relation

k=(p+a\v^2)(v-b)

where a, b, and k are constants.

Using the composite trapezoidal method, write a MatLab script to approximate the work done by the gas in expanding from an initial volume to a final volume. Express p in terms of v.

Where W = Integral (Pdv)

Let V be a vector space of dimension 1 over a field k and choose a fixed nonzero element voe V, which is therefore a basis. Let W be any vector space over k and let woe W be an arbitrary vector. Show that there is a unique linear transformation T: V → W such that T(v)= wo. [Hint: What must T(Avo) be?)

A stellar object that is at a great distance emits a stream of matter at velocity v towards an observer obliquely, forming an angle θ with the observation line. For the observer the jet appears to have been emitted laterally at speed V.
Show that for certain angles the speed measured by the observer may exceed the speed of light.

V = sin θ (1 / v - cos θ) ⁻¹

Upriver Parts manufactures two products, V-1 and V-2, at its River Plant. Selected data for an average month for the two products follow.

Production at the plant is automated and any labor cost is included in overhead. Data on manufacturing overhead at the plant follow.

Required:

a. Compute the unit costs for the two products V-1 and V-2 using the current costing system at Upriver (using machine hours as the allocation basis). (Do not round intermediate calculations. Round your answers to 2 decimal places.)
b. Compute the unit costs for the two products V-1 and V-2 using the proposed ABC system at Upriver. (Do not round intermediate calculations. Round your answers to 2 decimal places.)

Consider a binary channel transmitting bits independently. Each bit is demodulated with a 0 corresponding to 0 volts and a 1 corresponding to 5 volts. Thus, the received random variable v is normally distributed with variance σ² = 1 and mean μ = 0 or μ = 5. The demodulated voltage v is compared to a threshold τ to decide whether a bit is a 0 or 1, i.e., decide that a 1 was sent if v > τ and that a 0 was sent if v < τ. Bits are equally probable so that P ( μ = 0 ) = P ( μ = 5 ) = 1 / 2. Note that an error occurs either if a 0 was sent so that μ = 0 but v > τ and a 1 is decided or if a 1 was sent so that μ = 5 but v < τ and a 0 is decided. What are the conditional probabilities P ( v > τ | μ = 0 ) and P ( v < τ | μ = 5 )? What is the resulting probability of error? What value should one choose for τ to minimize the probability of error? If 1250 bytes (8 bits each) are sent, what is the expected number of errors?

The students answered questions about alcohol use and hangovers, including a count of how many out of a list of 13 possible hangover symptoms they had experienced in the past year. For the 470 men, the mean number of symptoms was 5.4; for the 755 women, it was 5.1. The standard deviation was 3.7 for each of the two samples.

(a) Define the parameter of interest using appropriate notation. The parameter of interest is Correct: Your answer is correct. in mean number of hangover symptoms, out of the 13 listed, experienced by the populations of male and female college students similar to those in the study.

(b) Find the standard error of the difference in means. (Round the answer to four decimal places.) s.e.(x1 - x1) =

(c) Find an approximate 95% confidence interval for the difference in population means. (Round all answers to two decimal places.) to symptoms

(d) On the basis of your interval in part (c), do you think that there is a difference in the population mean number of hangover symptoms experienced by college men and women? There Correct: Your answer is correct. a difference in the mean number of symptoms in the population.