A construction company plans to invest in new equipment to improve their productivity. The planned investment is $500,000 now and $100,000 in year 1. The gross income for year 1 is $175,000, year 2 is $300,000, and year 3 is $600,000. Taxes related to the investment are $50,000 in year 1, $75,000 in year 2 and $100,000 in year 3.

Determine:

a) The before tax rate of return for the investment

b) The after-tax rate of return for the investment

c) How does the after-tax rate of return compare to the company’s MARR of 15%?

Please do not use excel

The Comcast Construction CompanyCivil Engineers consists of two divisions. The divisions are Water and Infrastructure. The company sells engineering services to various customers.

The following are the bill rates for the various staff classifications:

Vice President$250/hour

Senior Engineer$200/hour

Associate Engineer$190/hour

Staff Engineer$160/hour

The two divisions expect to bill the following hours:

•Water-10,000hours, vice president at 10% of the time, 20% of Senior Engineer time10% to Associate engineers, and remaining to Staff Engineers.

•Waste Water-6,000hours, vice president at 12% of the time, 20% of Senior Engineer time, 5% to Associate engineers, and remaining to Staff Engineers.

Direct Labor costs per hours are as follows:

Vice President$90/hour

Senior Engineer$70/hour

Associate Engineer $60/hour

Staff Engineer$50/hour.

The utilization(billable ratio to total hours)for each staff members are as follows:

Vice President60%

Senior Engineer80%

Associate Engineer85%

Staff Engineer90%.

The company has the following other costs:

Admin Salaries$81,000

Rent$120,000

Utilities$16,000

Benefits$75,000

Assume that there are 2080 hours per year that each engineer can work including vacation and other benefit hours.

Question (1). Prepare a static budget for the company.

A company undertakes both construction of new houses and also the repair and renovation of old building. Due to the competition in the market, it has become necessary for the company’s long term plans to obtain a suitable mix of new houses and repair work each year. For planning purpose, the profit on new houses is taken to be 20% of their total value whereas on repair and renovation is 25%.

To avoid the problem of having to acquire large amount of land for the building of new houses, the company always plan for at least ¢4,000,000 of repair and renovation work each year but at the same time the company ensures that repairs and renovation do not account for more than half of their total work load. Furthermore, in costing all new and repair work, 5% of the total value of the work load is included to cover the company’s actual fixed overheads which have been estimated at ¢500,000 for the coming year.

The other major consideration is the amount of skilled labour which is available. It has been estimated that ¢1,000,000 of new house building involves 12-man years of skilled labour, whereas ¢1,000,000 of repair and renovation work requires 18-man years of skilled labour. The company currently employs 180 skilled workmen and it would be difficult to recruit more skilled labour in the short term.

Required

      (a) Develop a linear programming model of the planning problem facing the company. (8marks)

(b) Using the graphical approach, determine the total value of both new building work and repair and renovation work that should be undertaken next year to maximize profit.

(c) What increase in profit (if any) would be achieved if the company were to remove the condition of having at least ¢4,000,000 of repair and renovation work each year? (10marks)

NOTE: Please Plot the graph on a graph sheet, scan it and attached it to the document

Equipment Purchasing

The R&R construction company’s purchasing organization with the approval of the CEO is to procure an excavator for their projects rather than outsourcing them. This is a fully loaded CAT 450 loader backhoe, priced at $300,000. The estimated life of this machine is 10 years and during that period the estimated after-tax cash flows (EATCF) are given below. The investments required rate of return is 15%.

Evaluate this investment, in terms of:

a) Average rate of Return

b) Net Present Value

c) Profitability index

The Callaway Cattle Company is considering the construction of a new feed handling system for its feed lot in​ Abilene, Kansas. The new system will provide annual labor savings and reduced waste totaling 195000 while the initial investment is only 510000 Callaway's management has used a simple payback method for evaluating new investments in the past but plans to calculate the discounted payback to analyze the investment. Where the appropriate discount rate for this type of project is 8 percent. what is the​ project's discounted payback​ period?

Question: Facts: Bill, a contractor in Brentwood, New York, prepared a bid for construction of an office bu... Facts: Bill, a contractor in Brentwood, New York, prepared a bid for construction of an office building for Fred. In preparation of his bid, Bill asked Sam, a tile manufacturer in Setauket, New York, for a quote on tile to Bill's specifications. On October 27, 2006, Sam returned a statement on his letterhead with a quote of $8,000.00 which stated that the quote was irrevocable. Although Bill did not tell Sam, Bill submitted a bid for the building on November 11, 2006, using Sam's quote as the basis for part of his bid. On January 8, 2007, after the price of tile had increased, Sam told Bill that he was revoking his offer. On January 9, 2007, Bill was awarded the contract to build the office building. Bill demanded that Sam deliver tile as per Sam's offer, but Sam refused. Bill thereupon purchased tile to his specifications from Ted, another tile manufacturer, for $9,000.00. Bill also needed doors for the office building. He contacted Steve, a door manufacturer in Syosset, New York, and placed an order for doors at a cost of $6,000.00, F.O.B. Syosset. Steve entered into a contract, which was reasonable, with a common carrier for the transportation of the doors from Syosset to Brentwood. While the doors were en route, the truck in which the doors were being transported was struck by lightning. The doors were completely destroyed. Bill refused Steve's demand for payment. Steve refused to supply Bill with replacement doors. Bill obtained replacement doors from Tom, another door manufacturer, for a cost of $7,000.00 which was then the current market value for doors meeting Bill's specifications. Bill and Susan, a window manufacturer in Stony Brook, New York, entered into a written contract whereby Susan agreed to provide windows to Bill's specifications no later than October 23, 2007, for a cost of $12,000.00. Susan's profit on the sale to Bill was $2,000.00. Susan has thousands of windows in stock, and can supply anyone with as many windows as he or she needs, at any time. On October 15, 2007, Susan delivered windows to Bill; however, the windows did not conform to Bill's specifications. Bill refused the windows and notified Susan in writing that day that he refused the windows. On October 16, 2007, Susan notified Bill that she would cure the non-conforming tender of goods. On October 18, 2007, Susan delivered new windows to Bill which conformed to Bill's specifications, but Bill had already purchased the windows he needed from Tina, another window supplier, for $11,500.00, on October 17, 2007, and Bill refused to accept Susan's second delivery of windows. Susan sold the windows to Frank, another buyer, for $12,000.00. Bill seeks damages from Sam, Steve and Susan. Steve and Susan seek damages from Bill.

Steve was discharged by impossibility when the doors were destroyed by lightning during transportation to Bill. True or False?

Bill is entitled to receive the full contract price of $6,000.00 from Steve. True or False?

Susan delivered defective windows to Bill on October 15, 2007. True or False ?

Susan is a lost volume seller since she had thousands of windows in stock and could supply anyone with as many windows as they need, at any time. True or False?

Susan is entitled to recover the full contract price of $12,000.00 from Bill. True or False?

Question: Facts: Bill, a contractor in Brentwood, New York, prepared a bid for construction of an office bu... Facts: Bill, a contractor in Brentwood, New York, prepared a bid for construction of an office building for Fred. In preparation of his bid, Bill asked Sam, a tile manufacturer in Setauket, New York, for a quote on tile to Bill's specifications. On October 27, 2006, Sam returned a statement on his letterhead with a quote of $8,000.00 which stated that the quote was irrevocable. Although Bill did not tell Sam, Bill submitted a bid for the building on November 11, 2006, using Sam's quote as the basis for part of his bid. On January 8, 2007, after the price of tile had increased, Sam told Bill that he was revoking his offer. On January 9, 2007, Bill was awarded the contract to build the office building. Bill demanded that Sam deliver tile as per Sam's offer, but Sam refused. Bill thereupon purchased tile to his specifications from Ted, another tile manufacturer, for $9,000.00. Bill also needed doors for the office building. He contacted Steve, a door manufacturer in Syosset, New York, and placed an order for doors at a cost of $6,000.00, F.O.B. Syosset. Steve entered into a contract, which was reasonable, with a common carrier for the transportation of the doors from Syosset to Brentwood. While the doors were en route, the truck in which the doors were being transported was struck by lightning. The doors were completely destroyed. Bill refused Steve's demand for payment. Steve refused to supply Bill with replacement doors. Bill obtained replacement doors from Tom, another door manufacturer, for a cost of $7,000.00 which was then the current market value for doors meeting Bill's specifications. Bill and Susan, a window manufacturer in Stony Brook, New York, entered into a written contract whereby Susan agreed to provide windows to Bill's specifications no later than October 23, 2007, for a cost of $12,000.00. Susan's profit on the sale to Bill was $2,000.00. Susan has thousands of windows in stock, and can supply anyone with as many windows as he or she needs, at any time. On October 15, 2007, Susan delivered windows to Bill; however, the windows did not conform to Bill's specifications. Bill refused the windows and notified Susan in writing that day that he refused the windows. On October 16, 2007, Susan notified Bill that she would cure the non-conforming tender of goods. On October 18, 2007, Susan delivered new windows to Bill which conformed to Bill's specifications, but Bill had already purchased the windows he needed from Tina, another window supplier, for $11,500.00, on October 17, 2007, and Bill refused to accept Susan's second delivery of windows. Susan sold the windows to Frank, another buyer, for $12,000.00. Bill seeks damages from Sam, Steve and Susan. Steve and Susan seek damages from Bill.

Steve was discharged by impossibility when the doors were destroyed by lightning during transportation to Bill. True or False?

Bill is entitled to receive the full contract price of $6,000.00 from Steve. True or False?

Susan delivered defective windows to Bill on October 15, 2007. True or False ?

Susan is a lost volume seller since she had thousands of windows in stock and could supply anyone with as many windows as they need, at any time. True or False?

Susan is entitled to recover the full contract price of $12,000.00 from Bill. True or False?

A building contractor is preparing a bid on a new construction project. Two other contractors will be submitting bids for the same project. Based on past bidding practices, bids from the other contractors can be described by the following probability distributions:

If required, round your answers to three decimal places.

1. If the building contractor submits a bid of $650,000, what is the probability that the building contractor will obtain the bid? Use an Excel worksheet to simulate 1,000 trials of the contract bidding process.
   
   The probability of winning the bid of $650,000 =
2. 
   
3. The building contractor is also considering bids of 675,000 and $685,000. If the building contractor would like to bid such that the probability of winning the bid is about 0.6, what bid would you recommend? Repeat the simulation process with bids of $675,000 and $685,000 to justify your recommendation.
   
   The probability of winning the bid of $675,000 =  
   The probability of winning the bid of $685,000 =  

C++： A string construction problem defined as follows:

- You are given as input a target string

- Starting with an empty string, you add characters to it, until your new string is same as the target. You have two options to add characters to a string:

- You can append an arbitrary character to your new string, with cost x

- You can clone any substring of your new string so far, and append it to the end of your new string, with cost y

- For a given target, append cost x, and clone cost y, we want to know what the *cheapest cost* is of building the target string

For some simple examples:

- Target "aa", append cost 1, clone cost 2: the cheapest cost is 2:

- Start with an empty string, ""

- Append 'a' (cost 1), giving the string "a"

- Append 'a' (cost 1), giving the string "aa"

- Target "aaaa", append cost 2, clone cost 3: the cheapest cost is 7:

- Start with an empty string, ""

- Append 'a' (cost 2), giving the string "a"

- Append 'a' (cost 2), giving the string "aa"

- Clone "aa" (cost 3), giving the string "aaaa"

- Target "xzxpzxzxpq", append cost 10, clone cost 11: the cheapest cost is 71:

- Start with an empty string, ""

- Append 'x' (cost 10): "x"

- Append 'z' (cost 10): "xz"

- Append 'x' (cost 10): "xzx"

- Append 'p' (cost 10): "xzxp"

- Append 'z' (cost 10): "xzxpz"

- Clone "xzxp" (cost 11): "xzxpzxzxp"

- Append 'q' (cost 10) : "xzxpzxzxpq"

In the file `StringConstruction.h` implement a function `stringConstruction` that takes the target string, the clone cost, and the append cost (in that order), and returns the cheapest way of making the target string. It doesn't need to return *how* to do it, just the cost.

To test your code, TestStringCons.cpp contains some test cases.

Note: it will need to work for the largest of these target strings, which is 30,000 characters. the code will be ran on a modest desktop PC, and allowed 2 seconds.

StringConstruction.h file:

#ifndef STRINGCONSTRUCTION_H

#define STRINGCONSTRUCTION_H

#include <string>

using std::string;

// TODO: your code goes here:

// do not write or edit anything below this line

#endif

TestStringCons.cpp file:

#include "StringConstruction.h"

#include <iostream>

using std::cout;

using std::endl;

using std::ostream;

#include <vector>

using std::vector;

struct Testcase {

string target;

int appendCost;

int cloneCost;

int bestCost;

string notes;

};

ostream & operator<<(ostream & o, const Testcase & t) {

o << "Target string: " << t.target << "\n";

o << "Cost of appending an arbitrary character: " << t.appendCost << "\n";

o << "Cost of cloning a substring, and appending: " << t.cloneCost << "\n";

o << "Cheapest way to make the string should be: " << t.bestCost << "\n";

return o;

}

int main() {

int retval = 0;

vector<Testcase> testcases{

{"aa",1,2,2," Append 'a' (cost 1), append 'a' (cost 1)"},

{"aaaa",2,3,7," Append 'a' (cost 2), append 'a' (cost 2), clone 'aa' (cost 3)"},

{"xzxpzxzxpq", 10, 11, 71, " Append 'x' (cost 10), Append 'z' (cost 10), Append 'x' (cost 10), Append 'p' (cost 10), Append 'z' (cost 10),\n Clone 'xzxp' (cost 11), Append 'q' (cost 10)"}

};

for (size_t i = 0; i < testcases.size(); ++i) {

cout << "Testcase " << i << "\n";

cout << testcases[i];

cout << "\nRunning your function\n";

int costWas = stringConstruction(testcases[i].target, testcases[i].cloneCost, testcases[i].appendCost);

if (costWas == testcases[i].bestCost) {

cout << " -- Test passed, correct cost was returned\n\n\n";

} else {

cout << " -- Test failed, incorrect cost of " << costWas << " was returned\n";

cout << " To help your debugging, the cheapest way to make the string should be:\n";

cout << testcases[i].notes << "\n\n\n";

++retval;

}

}

string bigString = "abcblgmbcntdblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaipcbcntdblgblgmbaipobacjodblgblgmbaiabcblgmbcntdblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaipcbcntdblgblgmbaipiblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaipcbcntdblgblgmbaipobacjodblgblgmbaiabcblgmbcntdblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaiprtifbcntdblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaipcbcntdblgblgmbaipobacjodblgblgmbaiabcblgmbcntdblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaipcbcntdblgblgmbaipiblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaipcbcntdblgblgmbaipobacjodblgblgmbaiabcblgmbcntdblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaiprtifpblgmbtmblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaipcbcntdblgblgmbaipobacjodblgblgmbaiabcblgmbcntdblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaipcbcntdblgblgmbaipiblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaipcbcntdblgblgmbaipobacjodblgblgmbaiabcblgmbcntdblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaiprtifbcntdblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaipcbcntdblgblgmbaipobacjodblgblgmbaiabcblgmbcntdblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaipcbcntdblgblgmbaipiblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaipcbcntdblgblgmbaipobacjodblgblgmbaiabcblgmbcntdblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaiprtifbcntdblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaipcbcntdblgblgmbaipobacjodblgblgmbaiabcblgmbcntdblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaipcbcntdblgblgmbaipiblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaipcbcntdblgblgmbaipobacjodblgblgmbaiabcblgmbcntdblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaiprtifpblgmbtmblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaipcbcntdblgblgmbaipobacjodblgblgmbaiabcblgmbcntdblgblgmbaipmbcntdblgblgmbaipfdmbcqaipfdmbcntdblgblgmbaipmbcntdblgblgmbaiprtifbcntdblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaipcbcntdblgblgmbaipobacjodblgblgmbaiabcblgmbcntdblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaipcbcntdblgblgmbaipiblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaipcbcntdblgblgmbaipobacjodblgblgmbaiabcblgmbcntdblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaiprtifpblgmbtmblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaipcbcntdblgblgmbaipobacjodblgblgmbaiabcblgmbcntdblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaipcbcntdblgblgmbaipiblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaipcbcntdblgblgmbaipobacjodblgblgmbaiabcblgmbcntdblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaiprtifbcntdblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaipcbcntdblgblgmbaipobacjoirmbcntdblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaipcbcntdblgblgmbaipobacjodblgblgmbaiabcblgmbcntdblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaipcbcntdblgblgmbaipiblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaipcbcntdblgblgmbaipobacjodblgblgmbaiabcblgmbcntdblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaiprtifbcntdblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaipcbcntdblgblgmbaipobacjodblgblgmbaiabcblgmbcntdblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaipcbcntdblgblgmbaipiblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaipcbcntdblgblgmbaipobacjodblgblgmbaiabcblgmbcntdblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaiprtifpblgmbtmblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaipcbcntdblgblgmbaipobacjodblgblgmbaiabcblgmbcntdblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaipcbcntdblgblgmbaipiblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaipcbcntdblgblgmbaipobacjodblgblgmbaiabcblgmbcntdblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaiprtifbcntdblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaipcbcntdblgblgmbaipobacjodblgblgmbaiabcblgmbcntdblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaipcbcntdblgblgmbaipiblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaipcbcntdblgblgmbaipobacjodblgblgmbaiabcblgmbcntdblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaiprtifbcntdblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaipcbcntdblgblgmbaipobacjodblgblgmbaiabcblgmbcntdblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaipcbcntdblgblgmbaipiblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaipcbcntdblgblgmbaipobacjodblgblgmbaiabcblgmbcntdblgblgmbaipmbcntdblgblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaiprtifpblgmbtmblgmbaipfdmbcntdblgblgmbaipmbcntdblgblgmbaipcbcntdblgblgmbaipobacjodblgblgmbaiabcblgmbcntdblgblgmbaipmbcntdblgblgmbaipfdmbcqaipfdmbcntdblgblgmbaipmbcntdblgblgmbaiprtifbcntdblgblgmbaipmbcntdblgblgmbaip";

string doubleIt = bigString + bigString;

cout << "Big target string testcase, using a " << doubleIt.size() << " character test string. An excellent solution will complete in around a hundredth of a second.\n";

cout << "(Note -- if the program freezes at this point, Ctrl+C will stop it from running)\n";

int result = stringConstruction(doubleIt, 1235, 1234);

if (result == 59249) {

cout << "-- Correct cost of 59249 returned\n";

} else {

cout << "-- Incorrect cost of " << result << " returned, rather than 59249\n";

}

return retval;

}

A factory manufactures alloy rods for construction companies. The lengths of rods are uniformly distributed with minimum of 80 and maximum of 120 cm. Find the 80th percentile of the length of the rods. Find the probability a rod is less than 101.4 cm long. Find the probability a rod is more than 102.5 cm long. Given that the rod is more than 101 cm, find the probability it is longer than 99 cm. Given that the rod is more than 101 cm, find the probability it is less than 103 cm.