For the following problem, provide an objective in words, data definition, variable definition, and algebraic formulation (using summation notation when possible). You do not need to implement and solve. Submit your solution as an attached file. You may type up your work using Microsoft Word. A beverage can manufacturer makes three sizes of soft drink cans-Small, Medium and Large. Production is limited by machine availability, with a combined maximum of 90 production hours per day, and the daily supply of metal, no more than 120 kg per day. The following table provides the details of the input needed to manufacture one batch of 100 cans for each size. Small Medium Large Maximum Metal (kg)/batch 5 120 Machine 4.0 4.2 4.4 90 Time(hr)/batch Profit/batch $42 $45 $50
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- Seas Beginning sells clothing by mail order. An important question is when to strike a customer from the companys mailing list. At present, the company strikes a customer from its mailing list if a customer fails to order from six consecutive catalogs. The company wants to know whether striking a customer from its list after a customer fails to order from four consecutive catalogs results in a higher profit per customer. The following data are available: If a customer placed an order the last time she received a catalog, then there is a 20% chance she will order from the next catalog. If a customer last placed an order one catalog ago, there is a 16% chance she will order from the next catalog she receives. If a customer last placed an order two catalogs ago, there is a 12% chance she will order from the next catalog she receives. If a customer last placed an order three catalogs ago, there is an 8% chance she will order from the next catalog she receives. If a customer last placed an order four catalogs ago, there is a 4% chance she will order from the next catalog she receives. If a customer last placed an order five catalogs ago, there is a 2% chance she will order from the next catalog she receives. It costs 2 to send a catalog, and the average profit per order is 30. Assume a customer has just placed an order. To maximize expected profit per customer, would Seas Beginning make more money canceling such a customer after six nonorders or four nonorders?If a monopolist produces q units, she can charge 400 4q dollars per unit. The variable cost is 60 per unit. a. How can the monopolist maximize her profit? b. If the monopolist must pay a sales tax of 5% of the selling price per unit, will she increase or decrease production (relative to the situation with no sales tax)? c. Continuing part b, use SolverTable to see how a change in the sales tax affects the optimal solution. Let the sales tax vary from 0% to 8% in increments of 0.5%.Instruction: Answer the following systematically. Strictly follow the format of the solution (Example problem + complete solution is provided in the photos below). I WON'T LIKE YOUR ANSWER IF IT IS NOT PROPERLY FOLLOWED AND INCORRECT) A small generator burns two types of fuel – low sulfur and high sulfur – to produce electricity. For one hour, each gallon of low sulfur emits 3 units of sulfur dioxide, generates 4 kilowatts electricity, and cost P600. Each gallon of high sulfur emits 5 units of sulfur dioxide, generates 4 kilowatts, and costs P500. The Environmental Protection Agency insists that the maximum amount of sulfur dioxide that can be emitted per hour is 15 units. Suppose that at least 16 kilowatts must be generated per hour, how many gallons of low sulfur and how many gallons of high sulfur must be utilized per hour to minimize the cost of fuel? Objective: minimize
- Please no written by hand and no emage Kindly create a spreadsheet from the problem description. Find the optimal solution using Excel Solver (Please show working with steps on a spreadsheet) : The Heinrich Company manufactures two types of plastic hangerracks (Foldaways and Straightaways) especially suited for mountingnear clothes dryers. Because permanent press clothing must be hungon hangers immediately after removal from the dryer, these items havebeen especially popular. However, there is some concern that thePreppie movement (popularized by its own handbook) will extinguishpolyester clothing; Heinrich is terribly interested in doing the best withthe resources it has while its products are still in demand. The firsttype of hanger rack, the Foldaway, requires 10 ounces of plasticmaterial and 0.3 hours of labor. Plastic costs Heinrich 10 cents anounce; labor costs Heinrich $20 per hour. The second type of hangerrack, the Straightaway, requires 15 ounces of plastic and 0.175…Please complete all work in excel. Use excel to make any necessary calculations and be sure to identify the answer, including units (if necessary). Answers that need formulas must have them within the answer cell. City wants to further develop the model to include the weather conditions of rainy, cloudy, or sunny. Pool Attendance Temperature (°F) Weather Condition 150 89 Sunny 100 82 Rainy 125 81 Cloudy 130 86 Cloudy 155 93 Cloudy 170 98 Sunny 200 99 Sunny 180 87 Sunny 190 88 Sunny 140 83 Sunny 120 82 Cloudy 90 81 Rainy 130 87 Rainy 120 93 Rainy Should you keep weather condition in the model?Nice-Fit is a (fictional) small business producing outfits for costume parties and specialoccasions. Custom designs can be tailored to a customer’s request. Tom and Ann are theowners of the company and source all the fabric, design the outfits and make the costumesthemselves. Tom and Ann keep spreadsheets with information on the material purchased andcostumes made, but they find it difficult to keep track of their products, raw materials, andsales. The raw materials are supplied from a fabric company in India, and the production takesplace in a manufacturing company in China. The clothing is sold at local weekend markets,sold, or rented through costume hire shops, and sold at their physical store. Tom and Annreceive a small percentage of the sales and rentals of their costumes from the hire shops.They have no information on customers other than those who request custom designsdirectly from them. In 2020, the Covid-19 pandemic had a major impact on global economies,businesses and how we…
- Type the linear program, optimal solution, and objective function value in a word document. Submit your excel file A company produces three different types of wrenches: W1, W2, and W3. It has a firm order for 2,000 W1 wrenches, 3,750 W2 wrenches, and 1,850 W3 wrenches. Between now and the delivery date, the company has only 17,500 fabrication hours and 1,600 inspection hours. The time that each wrench requires in each department is shown in the table for this problem. Also shown are the costs to manufacture the wrenches in-house and the costs to outsource them. For labelling considerations, the company wants to manufacture in-house at least 60% of each type of wrench that will be shipped. How many wrenches should be outsourced? What will be the total cost to satisfy the order? Wrench Fabrication Hours Inspection Hours In-House Cost Outsource Cost W1 2.25 0.25 $17.00 $19.00 W2 3.25 0.30 $19.00 $21.00 W3 3.75 0.45 $22.00 $24.00PLEASE USE SIMPLEX METHOD. Thank you! Suppose a company manufactures different electronic components for computers. Component A requires 2 hours of fabrication and an hour of assembly. Component B requires 3 hours of fabrication and an hour of assembly, and component C requires 2 hours of fabrication and 2 hours of assembly. The company has upto 1,000 labor-hours for fabrication, 800 labor-hours of assembly time each work. If the profit on each component A, B, and C is $7, $8, and $10 respectively, how many of each should be produced to maximize profit?Linear programming has many benefits for everyday life, including solving optimization problems in industry, banking, education, and other problems that can be expressed in linear form. For example, in business the benefits of learning linear programming are determining the minimum value in terms of determining costs while the maximum value in terms of determining profits. Do the investment problem below on a piece of paper or in Ms.Word. Then uploaded on this forum. FullyCharge company considers four types of investment. Capital available for investment is $14,000. NPV of the following investments: Pilihan Investasi 1 2 3 4 fund $5,000 $7,000 $4,000 $3,000 NPV $16,000 $22,000 $12,000 $8,000 FullyCharge Company considers the following “logical” limits: § Choose only 3 investments § If the 2nd investment is selected, then the 1st investment is selected § If the 1st investment is selected, then the 3rd investment is not selected § One of the…
- What are some common properties of LP models? What is the three-step process for solving LP models? How are constraints modeled graphically? What is the corner point property? How is it useful in solving LP models?each Distributors packages and distributes industrial supplies. A standard shipment can be packaged in a class A container, a class K container, or a class T container. A single class A container yields a profit of $10; a class K container, a profit of $8; and a class T container, a profit of $12. Each shipment prepared requires a certain amount of packing material and a certain amount of time. Formulate and solve this problem using LP software. Resources Needed per Standard Shipment Class of Container Packing Material (pounds) Packing Time (hours) A 2 2 K 1 6 T 3 4 Total amount of resource available per week 120 pounds 210 hours Hugh Leach, head of the firm, must decide the optimal number of each class of container to pack each week. He is bound by the previously mentioned resource restrictions but also decides that he must keep his 6 full-time packers employed all 210 hours (6 workers × 35 hours)…A baker has 150, 90, and 150 units of ingredients A, B, C, respectively. A loaf of bread requires 1, 1, and 2 units of A, B, C, respectively; a cake requires 5, 2, and 1 units of A, B, C, respectively. Find the number of each that should be baked in order to maximize gross income if: A loaf of bread sells for $1.80, and a cake for $3.20.