What straight line y=ax+b best fits the following data in the least-squares sense?

i. Formulate the problem in the form Ax=b for appropriate A and b (matrix form).

We want to fit in the function g(x) = a sinx + b cosx for a data set

x 1 1.5 2 2.5

y 1.902 0.5447 0.9453 2.204

i. Formulate the problem in the form Ax=b for appropriate A and b (matrix form).

Given the following information, compute the missing columns in the life table:

After completing the table, compute the number of individuals in each age class for the next two generations.

PreviousNext

An array A[0..n - 2] contains n-1 integers from 1 to n in increasing order. (Thus one integer in this range is missing.) Design an algorithm in ​(Theta(log n)) to find the missing integer. Your algorithm should be given in pseudo code. For example, the array A could be {1, 2, 3, 4, 6, 7, 8, 9, 10} in which 5 is missing.

Consider the problem of sorting an array A[1, ..., n] of integers. We presented an O(n log n)-time algorithm in class and, also, proved a lower bound of Ω(n log n) for any comparison-based algorithm.

2. Give an efficient sorting algorithm for an array C[1, ..., n] whose elements are taken from the set {1, 2, 3, 4, 5}.

The Go-Shop Company wishes to introduce a new line of pressure cooker (PC) to the audience. The followings are the detailed of the new product:

The project cost is expected to be RM1.2 million. The projected sales of the PC 2,000 units in the first year and expected to increase by 20% year on year until year 4, and then decline by 30% in the final year.

The project also requires the company to upgrade the showroom fixtures and fittings which will costs RM120,000, to be depreciated based on MACRS 5-year convention, and in Year 5, RM25,000 can be salvaged. The tax rate is 28% and cost of capital is 5.28%.

1. The book value of the fixtures and fittings at Year 5 is RM_________. (2 decimals)

2. The net proceed after tax of the fixtures and fittings at Year 5 is RM________. (2 decimals)

3 Earning Before Interest and Tax in Year 1 is RM__________. (2 decimals)

4 The Net Profit After Tax in Year 2 is RM____________. (2 decimals)

5  Sales Revenues in Year 3 is RM__________. (2 decimals)

6 . Variable Cost in Year 4 is RM_________. (2 decimals)

7 . Net Profit After Tax in Year 5 is RM__________. (2 decimals)

8 . Working Capital Requirement in Year 1 is RM___________. (2 decimals)

9 .Working Capital Requirement in Year 3 is RM___________. (2 decimals)

10 . Working Capital Requirement in Year 5 is RM___________. (2 decimals)

11. The initial outlay of the project is RM__________. (2 decimals)

12 . The cash flow/ free cash flow in Year 1 is RM____________. (2 decimals)

Item 14 is unpinned. Click to pin.

The cash flow/ free cash flow in Year 3 is RM____________. (2 decimals)

Answer value

Item at position 15

15

1 point

Item 15 is unpinned. Click to pin.

The cash flow/ free cash flow in Year 4 is RM____________. (2 decimals)

Answer value

Item at position 16

16

1 point

Item 16 is unpinned. Click to pin.

The cash flow/ free cash flow in Year 5 is RM____________. (2 decimals)

Answer value

Item at position 17

17

1 point

Item 17 is unpinned. Click to pin.

Total Present Value of the cash flow/ free cash flow is RM____________. (2 decimals)

Answer value

Item at position

Item 18 is unpinned. Click to pin.

The Net Present Value (NPV) of the project is RM__________. (2 decimals)

Answer value

Item at position 19

19

1 point

Item 19 is unpinned. Click to pin.

The Internal Rate of Return (IRR) of the project is __________%. (2 decimals)

Answer value

Item at position 20

20

1 point

Item 20 is unpinned. Click to pin.

Total Future Value of the cash flow/ free cash flow invested at the same rate is RM____________. (2 decimals)

Answer value

Consider Table 1 below. Assume for simplicity that fertiliser and land are the only two inputs required in the production process. Using a relevant economic concept, describe the patterns observed in the data for marginal product. Give a very brief explanation of your answer.

Table 1: Short-run scenarios

Below is a table for the present value of $1 at compound interest.

Year 6% 10% 12%

1 0.943 0.909 0.893

2 0.890 0.826 0.797

3 0.840 0.751 0.712

4 0.792 0.683 0.636

5 0.747 0.621 0.567

Below is a table for the present value of an annuity of $1 at compound interest.

Year 6% 10% 12%

1 0.943 0.909 0.893

2 1.833 1.736 1.690

3 2.673 2.487 2.402

4 3.465 3.170 3.037

5 4.212 3.791 3.605

Using the tables above, what would be the present value of $30,000 to be received 3 years from today, assuming an earnings rate of 6%?

a.$23,760 b.$80,190 c.$26,700 d.$25,200

We have 3,000 Units of product to sell over a five day period. From historical sales data, we have estimated the following demand curves

P=price/unit in $

Q=number of units sold

Day 1: P=10-0.01Q valid for prices between $3and $8.

Day 2: same as Day 1

Day 3: P= 15-0.01Q valid for prices between $6 and $10

Day 4 P=20-0.01Q valid for prices between $6 and $12

Day 5: same as Day 1

1. The revenue maximizing price for day 3 is______ and quantity sold is _______.

2. The revenue maximizing price for day 4 is ______ and quantity sold is _______.

Expert Answer

Question 10.1 (1 point) Suppose that the distribution of income in a certain tax bracket is approximately normal with a mean of $53,183.88 and a standard deviation of $1,799.608. Approximately 18.56% of households had an income greater than what dollar amount? Question 11 options: 1) We do not have enough information to calculate the value. 2) 54,793.14 3) 51,574.62 4) 2,842,851 5) 2,949,219 Question 12 (1 point) According to a survey conducted by Deloitte in 2017, 0.4609 of U.S. smartphone owners have made an effort to limit their phone use in the past. In a sample of 89 randomly selected U.S. smartphone owners, what is the probability that greater than 46 will have attempted to limit their cell phone use in the past? Question 10.2 options: 1) 0.0241 2) 0.1703 3) 0.8779 4) 0.0483 5) 0.1221 Question 10.3 (1 point) According to a survey conducted by Deloitte in 2017, 0.4702 of U.S. smartphone owners have made an effort to limit their phone use in the past. In a sample of 54 randomly selected U.S. smartphone owners, what is the probability that between 22 and 29 (inclusively) will have attempted to limit their cell phone use in the past? Question 13 options: 1) 0.1383 2) 0.7244 3) 0.2756 4) 1.0844 5) 0.0132 Question 10.4 (1 point) According to a survey conducted by Deloitte in 2017, 0.44 of U.S. smartphone owners have made an effort to limit their phone use in the past. In a sample of 87 randomly selected U.S. smartphone owners, approximately __________ owners, give or take __________, will have attempted to limit their cell phone use in the past. Assume each pick is independent. Question 14 options: 1) 4.63 , 38.28 2) 38.28 , 21.40 3) 87 , 4.63 4) 38.28 , 0.44 5) 38.28 , 4.63