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.)

Unit Cost

V-1 V-2

a.Using current costing system

b.Using proposed ABC system

1. You roll two fair dice, and denote the number they show by X and Y. Let U = min{X, Y } and V = max{X, Y }. Write down the joint probability mass function of (U, V ) and compute ρ(U, V ) i.e the correlation coefficient of U and V

What is the value for Ecell for the reaction shown below if each one of the dissolved species has a concentration of 0.1 M?

2 Fe3+ (aq) + 2 I-(aq) → 2 Fe2+(aq) + I2(s)

a) -0.35 V

b) -0.29 V

c) +0.11 V

d) +0.17 V

A silver wire with resistivity 1.59 x 10^-8 ? x m carries a current density of 4.0 mm^2. What is the magnitude of the electric field inside the wire?

A) 0.064 V/m

B) 2.5 V/m

C) 0.040 V/m

D) 0.10 V/m

Use a 2N7002 MOSFET, connect the source to ground and add separate DC voltage sources to the gate and drain. Set the voltages to 2.5 V (gate) and 5 V (drain). Save an image of your circuit and include it in your document. Perform a dc operating point (DC op pnt) simulation and paste the output (as text) in your document. Confirm that the operating point is at approximately VGS = 2.5 V and ID = 62 mA. [3 marks]

b) Use your circuit and the “DC sweep” simulation option to generate the drain current characteristics for this MOSFET. You should setup the drain voltage as the first source to sweep (from 0 V to 10 V at 1 mV intervals) and the gate voltage as the second (from 1 V to 3 V at 0.25 V intervals). Run the simulation and include a plot of the drain current in your document (your plot should, of course, consist of multiple curves). NOTE USING LTspice

1. One of the half-reactions for the electrolysis of water is

2H₂O(l) →O₂(g) + 4H⁺(aq) + 4e⁻

If 0.992 L of O₂ is collected at 25°C and 755 mmHg, how many faradays of electricity had to pass through the solution?

2.

+0.94 V

–0.94 V

+0.67 V

–0.67 V

+1.34 V

3. One of the half-reactions for the electrolysis of water is

2H⁺(aq) + 2e⁻ →H₂(g)

If 0.845 L of H₂ is collected at 25°C and 782 mmHg, how many faradays of electricity had to pass through the solution?

2.31. Show that for each of the following values of a and b, there exists x, y in Z satisfying ax + by = 11. (i) a = 11, b = 0, (ii) a = 22, b = 11, (iii) a = 33, b = 22, (iv) a = 451, b = 33, (v) a = 484, b = 451.

2.39. Prove that gcd(ad, bd) = |d|gcd(a, b).

2.44. Does the Diophantine equation 12x + 33y = 1 have an integer solution? If so, can you list all integer solutions?

2.47. For nonzero integers a, b, c, gcd(a, b, , c) denotes the largest integer that divides all of them. Show that gcd(a, b, c) = gcd(a, gcd(b, c)).

A restaurant offers its patrons the following choices for a complete dinner:

i. choose one appetizer out of four;

ii. choose one entree out of five;

iii. choose two different items from a list of three kinds of potatoes, three vegetables, and one salad;

iv. choose one dessert out of four;

v. choose one beverage out of three.

a. How many different dinners can be ordered without ordering more than one kind of potato, assuming that no course is omitted?

b. How many different dinners can be ordered with no more than one kind of potato if one item, other than the entree, is omitted?

Explain the process you used to conduct your research for a project. Address each of these key steps in a 2-page reflection (you should have approximately 5-8 sentences for each step):

v Considering the rhetorical situation

v Identifying research questions

v Using strategic searching to find answers to your research questions

v Critically reading and evaluating information during your search

v Overcoming challenges during the research process

Vector v=(9,0,2) is vector from R3 space. Consider standard inner product in R3. Let W be a subspace in R3 span by u = (9,2,0) and w=(9/2,0,2).

a) Does V belong to W? show explanation

b) find orthonormal basis in W. Show work

c) find projection of v onto W( he best approximation of v with elements of w)

d) find the distance between projection and vector v