On the basis of the following Marginal utility data for products X and Y Assume that the prices of X and Y are $2 and $4 respectively and that the consumer's income is $16.

Refer to the above data. How many units of the two products will the consumer purchase to achieve the equilibrium?

use logism: For each of the following functions, simplify using Karnaugh Maps, then build, and hand in a properlydocumented circuit. You need to submit both a K-Map as well as the circuit for each part. a) F1 (a,b,c,d) = Σ(1, 2, 3, 4, 5, 9,10,11) b) F2 (a,b,c,d) = Σ(2, 3, 4, 6, 8, 11, 15) δ(a,b,c,d) = Σ(0, 5, 7, 9, 10)

For each collection of three groups of addition problems below, choose one strategy from the following list that may be useful in solving each collection of three problems. (“One more than and two more than”, “doubles”, “combinations of 10”, “making 10”, “using 5 as an anchor”, “near-doubles”).

a. 5+2, 1+6, 2+7

b. 6+8, 5+4, 6+5

c. 7+4, 7+9, 9+3

Hercules Exercise Equipment Co. purchased a computerized measuring device two years ago for $62,000. The equipment falls into the five-year category for MACRS depreciation and can currently be sold for $26,800. A new piece of equipment will cost $152,000. It also falls into the five-year category for MACRS depreciation. Assume the new equipment would provide the following stream of added cost savings for the next six years. Use Table 12–12. Use Appendix B for an approximate answer but calculate your final answer using the formula and financial calculator methods.

The firm’s tax rate is 25 percent and the cost of capital is 14 percent.

h. Determine the incremental depreciation between the old and new equipment and the related tax shield benefits. (Enter the tax rate as a decimal rounded to 2 decimal places. Round all other answers to the nearest whole dollar.)

i. Compute the aftertax benefits of the cost savings. (Enter the aftertax factor as a decimal rounded to 2 decimal places. Round all other answers to the nearest whole dollar.)

j-1. Add the depreciation tax shield benefits and the aftertax cost savings to determine the total annual benefits. (Do not round intermediate calculations and round your answers to the nearest whole dollar.)

j-2. Compute the present value of the total annual benefits. (Do not round intermediate calculations and round your answer to the nearest whole dollar.)

k-1. Compare the present value of the incremental benefits (j) to the net cost of the new equipment (e). (Do not round intermediate calculations. Negative amount should be indicated by a minus sign. Round your answer to the nearest whole dollar.)

a)Implement f using one 4-to-16 decoder and a minimal number of gates.

b) Implement f using two 2-to-8 decoders, one 4-to-1 multiplexer, and a minimal number of gates.

7. Let A = (−1,3,0), B = (3,2,4) and C = (1,−1,5).
(a) Find an equation for the plane that passes through these three points.

(b) Find the area of the triangle determined by these three points.

8). Find an equation of the tangent plane to the surface z = x at (−4, 2, −1).

47. Suppose that 1 kg of U235 undergoes fission by thermal neutrons. Compute the masses (or mass equivalents) in grams for the following, which are produced: 1. neutrons, 2. γ-rays, 3. β-rays, 4. neutrinos, 5. kinetic energy, 6. fission products.

1. You have taken out a $150,000, 5/1 ARM. The initial rate is 2%. The interest rate after the initial lock period is 4%. The term on this 5/1 ARM is 30 years. What is the total amount of interest paid during the initial lock period?

Chipper, a calendar-year corporation, purchased new machinery for $1,135,000 in February 2018. In October, it purchased $2,105,000 of used machinery. What was Chipper’s maximum cost recovery deduction for 2018?

Question 1 options:

1) $1,243,621

2) $3,240,000

3) $1,038,114

4) $577,226