Predict the number of d-electrons AND number of unpaired electrons on the metal in each of the following complexes (explanations helpful!):

1. [Cr(H₂O)₄F₂]

2. [Rh(en)₃]³⁺

3. [Pt(CN)₄]^2-

4. [TiCL₄]^3-

E ::= E + T | T

T ::= T * F | F

F ::= num | (E) Num ::= 0 | 1 | 2 | 3 | 4 | 5 | . . . . . . .

Question: 1
a. Show the Left-most derivation for the expression: 5 * 7 + 6 * (1 + 2).

b. Show the Right-most derivation for the expression: 5 * 7 + 6 * (1 + 2).

. A merchant has 9000 square feet of floor space for storing units of products 1 and 2. To gain the advantage of a good price he must purchase his stock now. A unit of product 1 costs the merchant $6 and requires 2 square feet of space, while a unit of product 2 costs the merchant $3 and requires 3 square feet of space. The merchant must stock at least 500 units of product 1. He expects to make a profit of $2 from each unit of product 1 he stocks and $4 from each unit of product 2. He is instructed to stock no less than 5000 total units of the products. The amount of product 1 that he stocks should be no more than half the amount of product 2 that he stocks. He has $10000 available for purchasing stock, and wants to know how many units of each product to buy to maximize profit. Create the LP model for this problem and use it to answer questions 1 to 5. How many decision variables are in this problem?

A none listed

B 0

C 3

D 4

E 5

F 2

2. How many constraints are there in above problem. Do not include trivial constraints.

A 1

B 2

C 3

D 4

E 5

F none of the answers listed here

3. How many of the constraints are less than or equal to constraints?

A 0

B 4

C 5 or more

D 1

E 2

F 3

4. Which of the following is the correct constraint?

A. X1 + .5X2 greater than or equal to 0

B. None of the answers are given

C. X1 - 2x2 less than or greater than 0

D. X1 - .5X2 less than or equal to 0

E. -.5X1 +X2 less than or equal to 0

5. The objective function is.

A none of the answers given here

B x1 + 4x2

C x1 + x2 + x3 less than or equal to 300

D 6x1 + 3x2

E x1 + 500x2

F x1 + x2

Two independent methods of forecasting based on judgment and experience have been prepared each month for the past 10 months. The forecasts and actual sales are as follows:

a. Compute the MSE and MAD for each forecast. (Round your answers to 2 decimal places.)

b. Compute MAPE for each forecast. (Round your intermediate calculations to 5 decimal places and final answers to 4 decimal places.)

c. Prepare a naive forecast for periods 2 through 11 using the given sales data. Compute each of the following; (1) MSE, (2) MAD, (3) tracking signal at month 10, and (4) 2s control limits. (Round your answers to 2 decimal places.)

Which assertion about statement 1 and statement 2 is true?  

Project A would cost 19,998 dollars today and have the following other expected cash flows: 3,983 dollars in 1 year, 7,670 dollars in 3 years, and 13,620 dollars in 4 years. The cost of capital for project A is 6.11 percent. Project B would cost 16,941 dollars today and have the following other expected cash flows: 2,942 dollars in 1 year, 6,526 dollars in 3 years, and 13,004 dollars in 4 years. The cost of capital for project B is 8.6 percent.

Statement 1: Project A would be accepted based on the project’s net present value (NPV) and the NPV rule

Statement 2: Project B would be accepted based on the project’s internal rate of return (IRR) and the IRR rule

2)

3)

2) Comparing homeowners policy forms. (HO-2, HO-3, HO-4, HO-5, HO-6, and HO-8)

In what ways is the coverage for each of the forms similar?

How does the coverage differ among the policies? Address the types of coverage in each, perils covered, benefits provided, types of “homeowners” that each one is tailored for, etc.

2) What are three exclusions from the homeowner’s policy that you think are important for everyone to know about? Explain why.

Consider the following time series data.

.

(a)  Use a multiple regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data. Qtr1 = 1 if Quarter 1, 0 otherwise; Qtr2 = 1 if Quarter 2, 0 otherwise; Qtr3 = 1 if Quarter 3, 0 otherwise.

If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300) If the constant is "1" it must be entered in the box. Do not round intermediate calculation.

.

(b) Use a multiple regression model to develop an equation to account for trend and seasonal effects in the data. Use the dummy variables you developed in part (b) to capture seasonal effects and create a variable t such that t = 1 for Quarter 1 in Year 1, t = 2 for Quarter 2 in Year 1,… t = 12 for Quarter 4 in Year 3.

If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)

.

(c)  Is the model you developed in part (b) or the model you developed in part (d) more effective?

1. Give five steps to making a dual resistant bacteria containing genes for resistance to ampicllin and Kanamycin

1.

2.

3.

4.

5.

2. State three importatn components of a vector

A simple random sample of 30 households was selected from a particular neighborhood. The number of cars for each household is shown below. Construct the 98% confidence interval estimate of the population mean.

2 0 1 2 3 2 1 0 1 4

1 3 2 0 1 1 2 3 1 2

1 0 0 5 0 2 2 1 0 2

A) 1.0 cars < μ < 2.0 cars

B) 0.9 cars < μ < 2.1 cars

C) 1.3 cars < μ < 1.7 cars

D) 1.5 cars < μ < 2.0 cars