On January 1, 2018, Harlow Company paid $156,000 to purchase a piece of
equipment. Before the equipment could be used, Harlow had to spend $6,000
to put the equipment in working order.

The equipment was assigned a useful life of 12 years and a salvage value
of $9,000. The straight-line method will be used to record depreciation
on the equipment.

On January 1, 2025, Harlow Company decided the life of the equipment should
be revised from 12 to 15 years with a salvage value of $5,150 at the end
of the 15 years.

Calculate the book value of the equipment at December 31, 2026.

0. 0. 0. 0.0. 0. 0. 0. 0.   1. 1. 1. 1. 1. 1. 2. 2. 2. 3.   4.

A.)MEAN –

B.)MEDIAN -

C.)MODE -

D.)STANDARD DEVIATION –

E.)5 NUMBER SUMMARY –

F.)BOX AND WHISKERS PLOT –

G.) OUTLIERS-

0. 0. 0. 0.0. 0. 0. 0. 0.   1. 1. 1. 1. 1. 1. 2. 2. 2. 3.   4.

A.)5 NUMBER SUMMARY –

B.)BOX AND WHISKERS PLOT –

C.) OUTLIERS-

Mazoon Electric Company is responsible for supplying and upkeep of the distribution of electric power in South Al Batinah region. The company is planning to upgrade the distribution system which will reduce line losses, failure occurrences and increased revenue. This up gradation will cost the company OMR 250,000. Information on the expected revenues and costs for coming years is tabulated below:

Assume that annual interest rate is 8% per annum and compounded annually.

a) Draw a cash flow diagram for the information given above.

b) Compute the Net Present Worth of the future cash flows.

c) Compute the Future Worth at the end of 2026 of cash flows.

A =
（1 −7 5 0

0 10 8 2

2 4 10 3

−4 8 −9 6）

(1) Count the number of rows that contain negative components.
(2) Obtain the inverse of A and count the number of columns that contain even number of positive components.
(3) Assign column names (a,b,c,d) to the columns of A.
(4) Transform the matrix A into a vector object a by stacking rows.
(5) Replace the diagonal components of A with (0,0,2,3). Hint: use a “diag” function

exampleInput.txt

1 2 3

0 2 3 4

0 1 3 5

0 1 2 6

1 5 6 8

2 4 6 7

3 4 5 9 10

5 8 9

4 7 9

6 7 8

6

How can I detect when 'cin' starts reading from a new line. The amount of numbers in each row is unknown. I need them in type 'int' to use the data.

] Consider the following dynamic equations: ?1̇ = −2?1 + 6?2 ?2̇ = −4?1 + ?(?) ?(?) = ?1 The control is obtained through state feedback with ?(?) = −?1?1 − ?2?2 + ?(?), where ?(?) is reference input. Find the ?1 and ?2 if the closed-loop system has a natural undamped frequency of 10 rad/sec and a damping ratio of 0.707.

Problem 3: A firm has the following production function: ?(?1, ?2 ) = ?1 + 4?2 A)  Does this firm’s technology exhibit constant, increasing, or decreasing returns to scale? B) Suppose the firm wants to produce exactly ? units and that input 1 costs $?1 per unit and input 2 costs $?2 per unit. What are the firm’s conditional input demand functions? C) Write down the formula for the firm’s total cost function as a function of ?1, ?2, and ?. D) If ?1 = 1, ?2 = 2, what is the cost minimizing choice of ?1 and ?2 for Bob to produce 100 units of output? E) If ?1 = 1, ?2 = 2, what is the minimum cost of producing one unit of output?

Problem 4: A firm has the following production function: ?(?1, ?2 ) = ?1 1/3 ?2 4/3 A) Does this firm’s technology exhibit constant, increasing, or decreasing returns to scale? B) What is the firm’s Technical Rate of Substitution? What is the optimality condition that determines the firm’s optimal level of inputs? C) Is the marginal product of input 1 increasing, constant, or decreasing in ?1. Is the marginal product of input 2 increasing, constant, or decreasing in ?2? D) Suppose the firm wants to produce exactly ? units and that input 1 costs $?1 per unit and input 2 costs $?2 per unit. What are the firm’s conditional input demand functions? (Your solution should be functions of ?1, ?2, and ? for each input). E) Using the information from part D), write down the firm’s total cost function as a function of ?1, ?2, and ?.

Problem 5: A firm has total cost function: ?(?) = 50? 2 + 40? + 30 A) What is the total fixed cost? B) What is the average fixed cost? C) What is the total variable cost? D) What is the average variable cost? E) What is the marginal cost? F) What is the average total cost? For parts G) and H), suppose the firm is in a competitive market. G) what is the lowest price at which the firm will supply a positive quantity in long-run equilibrium? H) What price maximizes the firm’s profit? I) How much would the firm supply at the price in part H) J) At what quantity is the firm’s marginal cost equal to its average cost?

Problem 3: A firm has the following production function: ?(?1, ?2 ) = ?1 + 4?2 A) Does this firm’s technology exhibit constant, increasing, or decreasing returns to scale? B) Suppose the firm wants to produce exactly ? units and that input 1 costs $?1 per unit and input 2 costs $?2 per unit. What are the firm’s conditional input demand functions? C) Write down the formula for the firm’s total cost function as a function of ?1, ?2, and ?. D) If ?1 = 1, ?2 = 2, what is the cost minimizing choice of ?1 and ?2 for Bob to produce 100 units of output? E) If ?1 = 1, ?2 = 2, what is the minimum cost of producing one unit of output?