In this exercise, we suggest the use of technology. Round all answers to two decimal places. Maximize p = 4.2x + 8.2y + 4z subject to 3.1x + 1.2y + z < 27.5 x + 2.3y + z< 27.5 2.1x + y + 2.3z < 26 x 2 0, y 2 0, z 2 0. p = (x, y, z) =
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- Your team has a plan to build 100 gadgets in 10 weeks. The plan is to make 10 gadgets per week (10 gadgets per week x 10 weeks = 100 gadgets). The plan states that: During the first 4 weeks, it should cost $1,000 each week to make 10 gadgets per week. The next 6 weeks it should cost $500 each week to make 10 gadgets per week because of the efficiency gains. At the end of the 8th week (i.e. finished the 8th week and getting ready to start the 9th week), the team has made 60 gadgets and has spent $7500. At the end of week 8, what are PV (Planned Value), RP (Rate of Performance), AC (Actual Cost), EV (Earned Value), CV (Cost Variance), SV (Schedule Variance), CPI (Cost Performance Index), Schedule Performance Index (SPI), EAC (Estimate At Completion), and ETC (Estimate Time to Complete)? (Please Show work for each) Provide your answer for Question in this area and expand it out as necessary. PV = RP = AC = EV = CV = SV = CPI = SPI = EAC = ETC =Consider a small Oil production firm with 5 competing oil production projects, A - E. The table below shows the estimated long-term profit (Net Present Value) for each project as well as the amount of investment capital required to start the project. You have been contacted to help select the best combination of projects to maximize the Net Present Value subject to the capital investment limit of $32 million. Production Project A B C D E Estimated Profit (millions) 25 20 19 28 21 Capital Required (millions) 11 8 14 19 13 Formulate a Binary Integer Programming (BIP) model on a spreadsheet. Solver the model using Solver.. Mr. Ahmet plans to open a new Italian Restaurant on Palestine Street Cankaya. Unlike the Italian Restaurants in the exact location, he wants to add new recipes that mix the local flavors of Italy and Turkish Cuisine to his menu. He plans to make his presentations with dinner sets with cultural motifs brought from Italy. He selects his service personnel from qualified people who know the Italian Culture and speaks the language. In addition to its indoor space with an ethnic design in winter, he plans to host his customers in its garden decorated with lemon trees in summer. He plans to offer his customers a different and unique drink for each meal. In addition to Italian cuisine's unique and original tastes, he plans to expand his target audience with flavors that will surprise and amaze customers. Evaluate the restaurant Mr. Ahmet will open in terms of “product” and “promotion” from the marketing mix elements. Write down the promotional activities Mr. Ahmet can apply and why he…
- 1. Find the total simple interest on P12,500 at 8% for 2 years. 2. Find the total simple interest on P12,500 at 8% for 9 months. 3. How long will it take P80,000 to accumulate to P96,000 at 8% simple interest rate?Given the following data on inputs and outputs at a work center, determine the cumulative deviation and the backlog for each time period. The beginning backlog is 7. (Negative amounts should be indicated by a minus sign.) Input Period 1 2 3 4 5 6 Planned 200 200 180 190 190 200 Actual 210 200 179 195 193 194 Output Period 1 2 3 4 5 6 Planned 200 200 180 190 190 200 Actual 205 194 177 195 193 200 1 2 3 4 5 6 Input Cumulative Deviation Output Cumulative Deviation Backlog 7Formulate the situation as a system of inequalities. (Let x represent the number of dinghies the company can manufacture and y represent the number of rowboats.) A boat company manufactures aluminum dinghies and rowboats. The hours of metal work and painting needed for each are shown in the table, together with the hours of skilled labor available for each task. How many of each kind of boat can the company manufacture? (hours) Dinghy Rowboat Labor Available Metal Work 2 3 108 Painting 2 2 90 (labor for metal work) (labor for painting) x ≥ 0, y ≥ 0
- Triathlon Team Formation Coaches Scott and Newby-Fraser are faced with a difficult choice. They must choose two teamsto enter into the upcoming “Olympic Distance Triathlon Mixed-Team Relay” and they want tofind the fastest possible combination of two teams. Triathlon is a sport in which athletes compete in three sports in immediate succession: theyswim, then immediately jump on a bike and ride, and then after the bike portion they run for aset distance. In the relay version of triathlon, one teammate swims, then hands off to anotherteammate who jumps on a bike and rides and then hands off to the third teammate whocompletes the run. The “mixed-relay” version means that each team consists of both male andfemale athletes. The “Olympic” distance triathlon features a swim of 1,500 meters, a bikecourse of 24 miles length, and then a run of 10 kilometers. The regulations require that theoverall team selection must be balanced, too; that is, of the six athletes chosen, three must bemale and…Direction: Analyze the given problem and show your complete solution. The GEM maker of jewelry makes two bracelet designs, heart design and flower design. The bracelets are made of gold and platinum. The store has 28 ounces of gold and 20 ounces of platinum. Each heart design bracelet requires 3 ounces of gold and 2.5 ounces of platinum and makes a profit of P2500, while each flower design bracelet requires 4.5 ounces of gold and 3 ounces of platinum and makes a profit of P3400. How many heart design bracelets and flower design bracelets should be produced to maximize the profit? Decision variables Tabulation Objective function and constraints Graph and solution Optimum solution DecisionNetScan IT Solutions is an IT service and support organization located in a major metropolitan area. The organization consists of eight first-line supervisors, 30 field technicians/installers, 10 part time Tier 1 help desk technicians, 1 CCNE, 1 CCNA, and numerous personnel that provide organizational administrative support. NetScan provides diagnostic, installation, consultation, and numerous other services related to all aspects and domains in information technology. The organization has not been very progressive with its internal service records, service scheduling, and other service and support information as many of these records are paper-based. Procedures and processes are not formally documented by the organization and the staff is having difficulty keeping up with the daily demands of normal operations. Documentation is lost or misplaced on a fairly regular basis, putting the staff into crisis mode as they try to make things right. The Board of Directors recently hired a…
- Saad has been a manager at Revel Consulting for the past five years. As the business has grown, Saad has taken on more and more responsibilities and is now at the point where he is working on over 10 projects every quarter. Saad’s supervisor, Vance, wants Saad to hire two assistant managers to aid Saad in managing projects; however, while Saad agrees that he is becoming overwhelmed, he fears that additional employees will make completing the projects more difficult, which makes him hesitant to agree with Vance’s plan. Saad appears to be stuck at which step of the motivational process? a. Need b. Motive c. Satisfaction or dissatisfaction d. Feedback 4.Which theory holds that needs are based on personality and are developed and learned as people interact with the environment? a. Acquired needs theory b. Hierarchy of needs theoryFor a table manufacturing company, selling price for a table is $183.00 per Unit, Variable cost is $25.00 per Unit, rent is $3,380.00 per month and insurance is $296.00 per month. Company wants to expand its business and improve the table quality, it wants to increase the selling price for a table to $254.00 per Unit, Variable cost to $43.00 per Unit, bigger area will have rent $5,235.00 per month and insurance is $362.00 per month At what point will the company be indifferent between the current mode of operation and the new option?Maximize: 500X1+300X2Subject to: 15X1+5X2≤30010X1+6x2≤240 8X1+12X2≤450 X1≥0,X2≥0