Question 2: A manufacturing company produces 2 products, air conditioners and fan heaters: Each air-conditioner requires 3 hrs of wiring and 2 hrs drilling. Each heater needs 2 hrs wiring and 1 hr drilling. During the next production period, there are 240 hrs of wiring time available and 140 hours of drilling time. Each air-conditioner sold yields a profit of 25€. Each heater can be sold for 15€. Formulate this production-mix Linear Programming problem and find the combination of air-conditioners and heaters which gives the most profit.
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- Q1:A/ The Office Supplies Company offers two types of pens, the first type has high specifications, while the second type has normal specifications. The expected profit from selling each unit of the first type is half a dollar, and from selling each unit of the second type is a quarter of a dollar. The time taken to manufacture the first type is twice the time taken to manufacture the second type for the purpose of producing no more than 1,000 pens of both types per week. The company can produce at most 400 units of the first type per week, and it can produce no more than 700 units of the second type per week. Note that the company can produce each of them separately. Required: Create the linear programming model to find the optimal production mix so that the company achieves the maximum possible profit.Q1/ One of the dairy canning companies wants to set up a special program for the production of cheese, as it decided to produce two types of cheese, each of which consists of a mixture of ingredients that are manufactured in special machines to become ready for use. The cost of the first type of cheese is 41 dinars, and the cost of the second type is 35 dinars. Each of the two types of cheese contains four components. The manufacture of cheese of the first type requires a mixture of (2, 1, 5, 0.6) and the second type (3, 1, 3, 0.25) units of the components (D, C, B, A). on the sequence. The weekly needs of foodstuffs (D, C, B, A) that are supposed to be provided for the cheese industry are (1250, 250, 900, 232.5) kg, respectively. Required: 1- Formulate a mathematical model for this problem. 2- The quantity of cheese production of the first and second types to obtain .the highest return using the graph method29 00:24 1 令.l 50 B/s Question no. 02: A Leading manufacturer of Action Figures is about to introduce four new Action Figures. The accompanying table summarizes price and cost data, combined fixed costs equal $650,000. A marketing research study predicts that for each unit sold of Noyan, 2 units of Dogan, 3 units of Bamsi and 4 units of Turgut will be sold. Action Figures Turgut Bamsi Dogan Novan Selling Price (in dollars) 35 26 24 16 Variable Cost/unit (in dollars) 17 12 12 11 Table 1 a) How many product mix units must be sold to break even? b) How does it translate into sales of individual games?
- Q: How the net profit is calculated for product explain and derive formula for it?Q1) A retail. Store stocks two types of shirts A and B. These are packed in attractive cardboard boxes. During a week the store can sell a maximum of 400 shirts of type A and a maximum of 300 shirts of type B. The storage capacity, however, is limited to a maximum of 600 of both types combined. Type A shirt fetches a profit of SR 2/- per unit and type B a profit of SR. 5/- per unit. (b) Find the optimal solution (How many of each type) that store should stock per week to maximize the total profit. Use Graphical Method.Geoff Gullo owns a small firm that manufactures “Gullo Sunglasses.” He has the opportunity to sell a particular seasonal model to Land’s Start, a catalog retailer. Geoff offersLand’s Start two purchasing options.• Option 1: Geoff offers to set his price at $65 and agrees to credit Land’s Start $53 foreach unit Land’s Start returns to Geoff at the end of the season (because those unitsdid not sell). Because styles change each year, there is essentially no value in thereturned merchandise.• Option 2: Geoff offers a price of $55 for each unit, but returns are no longer accepted.In this case, Land’s Start throws out unsold units at the end of the season.This season’s demand for this model will be normally distributed with a mean of 200and a standard deviation of 125. Land’s Start will sell those sunglasses for $100 each.Geoff’s unit production cost is $25.a. How much would Land’s Start buy if it chose option 1? b. How much would Land’s Start buy if it chose option 2? c. Which option will…
- Questions 2 – Capital budgeting and NPV Responsible Testing Company may buy DNA‐testing equipment A costing $60,000 now (at year 0). This equipment is expected to reduce labor costs of the clinical staff, net of all staff training expenditures, by $20,000 annually in the subsequent years following the investment. Equipment A has a useful life of 8 years and can be straight‐line‐depreciated over its years of operations. No salvage value is expected at the end. The corporate tax rate (combined federal and state) is 40% and the company’s required rate‐of‐return is 15%. (2a) Describe the company’s “investment project”. Calculate the relevant cash flows and use the NPV method to determine the attractiveness of this project. (2b) Suppose that in the second year (year 2) a more efficient and effective DNA‐testing equipment B is expected to enter the market. The new equipment costs $90,000, will have an effective operating life of 6 years, can be straight‐line‐depreciated but…Q4) A manufacturer provides specialized microchips. During the next 3 months its sales, costs, and available time are shown in the table. Month 1 Month 2 Month 3 There are no chips in stock at the beginning of the first month. It takes 1.5 hr of production time to produce a chip and costs $5 to store a chip from one month to the next. Determine a production schedule that meets the demand requirements, does not exceed the monthly production time limitations, and minimizes cost. Note that no chips should be in stock at the end of the 3 months. Use fmincon. Chips required Cost regular time ($/chip) Cost overtime ($/chip) Regular operation time (hr) Overtime (hr) 1000 100 110 2500 100 120 2200 120 130 2400 2400 720 2400 720 720Q-1)A glass melting furnaces feed auto plumping machines for producing the electric lamp casing (balloon),there are two main kinds can be produced, the original and the big one, they must produce at least 25 million of the original but not accede over 35 million ,and they must produce 3 million of the big one, however the ratio of the original must be at least 5 times to the big one which make a profit double the original, producing million of the big one utilize 5% Of the available materials but the original utilize 2.5% of the available materials ,For this problem ,the objective function is: Max Z =0.5X1+2X2 O MIN Z =2X1+X2 O Max Z =2X1+2X2 O Max Z =2X1+X2
- Problem 3-14 (Algo) Demand for stereo headphones and music players for joggers has caused Nina Industries to grow almost 50 percent over the past year. The number of joggers continues to expand, so Nina expects demand for headsets to also expand, because, as yet, no safety laws have been passed to prevent joggers from wearing them. Demand for the players for this year was as follows: MONTH DEMAND (UNITS) 4,150 4,25e 3,950 4, 350 4,95e 4,650 5,25e 4,850 5,35e 5,65e 6,25e 5,95e January February March Аpril Мay June July August September October November December a. Using linear regression analysis, what would you estimate demand to be for each month next year? Using a spreadsheet, follow the general format in Exhibit 3.8. (Do not round Intermedlate calculatlons. Round your answers to 2 decimal places.) Month Forecast January February March April May June July August September October November December b. To be reasonably confident of meeting demand, Nina decides to use 3 standard errors…Q3: FIND INITIAL FEASIRLE SOLUTION COST FOR GIVEN PROBLEM by using A north-west oomer rule Bleast cost method e-Vogels approvimation method D1 D2 D3 D4 SUPPLE P1 2. 11 P2 1. 1. Pa 8. 15 6. 10 Demand 2. A* JIS O 11600 O 11300 O 11200 O 11000Q1: Pat Jones is the general manager at Denny’s Muffler, which has 3 locations and 27 employees. Currently, the office manager at 3 stores put input their weekly sales results into a spreadsheet and e-mail that spreadsheet to Pat on Friday by noon. Each week, Pat handles between 120 to 350 records of sales data, and another 100 to 300 records of customer data. Pat would be like to keep track of weekly sales, which customers are associated with each sale, the parts used for each sale, what work was done for each customer at each sale, and which parts were used for each sale. If Pat wants to improve his efficiency and effectiveness, which of the following applications would be the best for collecting and storing Pat’s data? 1) Excel 2) SAP3) Access4) Minitab5) Teams6) MySQL