A cement mix company is renowned for providing high strength concrete additives - at high unit cost. It delivers two types ofcement additives - Tuf and Rok. In making these additives the company adds two special products, Qikcem and Plascem.These additives contain two (2) basic ingredients: Lime and Flyash, in different proportions, as shown in the table below.Flyash[%]LimeCostSpecial ProductsQikcem (1)Plascem (2)Availability[kg/hr]26003600[%][S/kg]101545553565The cement additive, Tuf should not contain more than 70% of Lime and the cement additive, Rok must contain atleast 45% of Flyash. The company can sell at most 800oerkg of its additive products (Tuf and Rok) per hour. There areother limitations and local requirements, as stated beklew:a) Due to the plant installed capacity and personnel requirements, no more than 6000 kg/hour of Tuf can beproducedb) The plant has contracted to deliver at least 3500 kg/hour of Tufc)The company is restricted, by local ordinance, from producing more than 2000 kg of additive Rok per hour.Formulate an LP model to prescribe a production plan that minimizes the cost of operations (the total cost ofpurchasing Qikcem and Plascem).Define the variables as follows (You may add other variables but you must use these).LET:X1T = Amount (kg) of Qikcem used to produce TufX2TAmount (kg) of Plascem used to produce TufX1R = Amount (kg).of Qikcem used to produce RokX2R = Amount (kg) of Plascem used to produce Rok

Answered: Image /qna-images/answer/de602b2a-d0ce-4e50-bd0a-07053f0e3114.jpg

Answered: The cement additive, Tuf should not…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter5: Network Models

Section: Chapter Questions

Problem 67P

See similar textbooks

Similar questions

Sometimes curvature in a scatterplot can be fit adequately (especially to the naked eye) by several trend lines. We discussed the exponential trend line, and the power trend line is discussed in the previous problem. Still another fairly simple trend line is the parabola, a polynomial of order 2 (also called a quadratic). For the demand-price data in the file P13_10.xlsx, fit all three of these types of trend lines to the data, and calculate the MAPE for each. Which provides the best fit? (Hint: Note that a polynomial of order 2 is still another of Excels Trend line options.)
Silicon Valley Corporation (Silvco) manufacturestransistors. An important aspect of the manufacture oftransistors is the melting of the element germanium (a majorcomponent of a transistor) in a furnace. Unfortunately, themelting process yields germanium of highly variable quality.Two methods can be used to melt germanium; method 1costs $50 per transistor, and method 2 costs $70 per transistor. The qualities of germanium obtained by methods 1and 2 are shown in Table 80. Silvco can refire melted germanium in an attempt to improve its quality. It costs $25 torefire the melted germanium for one transistor. The resultsof the refiring process are shown in Table 81. Silvco has sufficient furnace capacity to melt or refire germanium for atmost 20,000 transistors per month. Silvco’s monthly demands are for 1,000 grade 4 transistors, 2,000 grade 3 transistors, 3,000 grade 2 transistors, and 3,000 grade 1 transistors. Use linear programming to minimize the cost ofproducing the needed transistors.…
Clippers Inc. (CI) manufactures two types of garden clippers. A light-duty model, called the “half-inch,”is intended for clipping branches and stems up to one-half inch thick. The “one-inch” model is designedfor heavier stems and branches. To boost sales, CI decided at the beginning of the current year to reducethe price of the half-inch model to better position its price relative to some key competitors. On the otherhand, CI felt that the one-inch model was technically superior to competitors’ models and decided that asmall price increase was appropriate. The data for the current and prior year are as follows:Current Year Prior YearSales units 7,200 6,500Sales mix for each productHalf-inch model 50% 30%One-inch model 50% 70%PriceHalf-inch model $12.00 $14.00One-inch model $36.00 $32.00Variable cost per unitHalf-inch model $6.00 $6.00One-inch model $8.00 $8.00Fixed cost $35,000 $35,000Required1. Prepare a comparative contribution income statement for CI for the current year that shows…
3 The Sweet Smell Fertilizer Company markets bags of manure labeled "not less than 60 pounds dry weight" The packaged manure is a combination of compost and sewage wastes. To provide good-quality fertilizer, each bag should contain at least 30 pounds of compost but no more than 40 pounds of sewage Each pound of compost costs Sweet Smell 5 cents and each pound of sewage costs 4 cents Use a graphical LP method to determine the least cost blend of compost and sewage in each bag
XYZ Corporation manufactures two products, Simple and Complex. The following annual information was gathered: Simple Complex Selling price per unit P47.00 P26.00 Variable cost per unit 42.00 22.00 Total annual fixed costs are P18,000. Assume XYZ Corporation can produce and sell any mix of Simple or Complex at full capacity. It takes one hour to make one unit of Complex. However, Simple takes 50% longer to manufacture when compared to Complex. Only 120,000 hours of plant capacity are available. How many units of Simple and Complex should XYZ Corporation produce and sell in a year to maximize profits?
Zara stores in the United States stocks a particular type of designer denim jeans in theUnited States. It stores 500 pairs of jeans each month from its two suppliers. The HongKong supplier charges Zara $11 per pair of jeans, and the Colombian supplier charges$16 per pair (and then Zara marks them up almost 1,000%). Although the jeans fromHong Kong are less expensive, they also have more defects than those from Colombia.Based on past data, Zara estimates that 7% of the Hong Kong jeans will be defectivecompared to only 2% from Colombia and Zara does not want to import any more than5% defective items. However, Zara does not want to rely on a single supplier, so it wantsto order at least 20% from each supplier every month. D. If the Hong Kong supplier were able to reduce its percentage of defective pairs ofjeans from 7% to %5, what would be the effect on the solution. Solve c in a separatesheet. First copy the sheet you solved a, b and c. Then change the necessary line andre-solve.…
The LP relationships that follow were formulated by Richard Martin at the Long Beach Chemical Company. Maximize 4X1+12X1X2+5X3 Subject to: 2X1X2+2X3≤70 (C1) 10.9X1−4X2≥15.6 (C2) 10X1+3X2+3X3≥21 (C3) 16X2−13X3=17 (C4) −4X1−X2+4X3=5 (C5) 7X1+2X2+3X3≤80 (C6) For an LP, the objective function developed by Richard is (valid or onvalid) . Constraint C1 is a(n) (valid or onvalid) LP constraint. Constraint C2 is a(n) (valid or onvalid) LP constraint. Constraint C3 is a(n) (valid or onvalid) LP constraint. Constraint C4 is a(n) (valid or onvalid) LP constraint. Constraint C5 is a(n) (valid or onvalid) LP constraint. Constraint C6 is a(n) (valid or onvalid) LP constraint.
Friendly Waste Co. runs three different factories and is required by law to safely dispose of chemicals. Waste from three different factories can be processed to reduce the amount of two different types of pollutants. State law requires that the total reduction in the amount of pollutant A is at least 30 tons and pollutant B is at least 40 tons. Using the information in the following table: Factory Proc Cost Per Ton Reduction Plant A Reduction Plant B 1 15 0.1 0.45 2 10 0.2 0.25 3 20 0.4 0.3 •Algebraically formulate a linear programming model to represent this problem.
FarmFresh Foods manufactures a snack mix called TrailTime by blending three ingredients: a dried fruit mixture, a nut mixture, and a cereal mixture. Information about the three ingredients (per ounce) is shown below. Ingredient Cost Volume Fat Grams Calories Dried fruit 0.35 0.25 cup 0 150 Nut mix 0.50 0.375 cup 10 400 Cereal mix 0.20 1 cup 1 50 Let D = number of ounces of dried fruit mix in the blend; N = number of ounces of nut mix in the blend ; C = number of ounces of cereal mix in the blend. The constraint that would ensure the mixture has no more than 25 grams of fat is:
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…
Sarah Meeham blends coffee for tasti-delight. She needs to prepare 150 pounds of blended coffee beans selling for fiveShe needs to prepare 150 pounds of blended coffee beans selling for $4.05 per pound. She plans to do this by blending together a high-quality been costing $5.25 per pound and a cheaper being at $3.00 per pound to the nearest pound find how much high-quality coffee Bean and how much cheaper coffee beyond she should blend. she should blend ___ lbs of high Quality beans
Zara stores in the United States stocks a particular type of designer denim jeans in the United States. It stores 500 pairs of jeans each month from its two suppliers. The Hong Kong supplier charges Zara $11 per pair of jeans, and the Colombian supplier charges $16 per pair (and then Zara marks them up almost 1,000%). Although the jeans from Hong Kong are less expensive, they also have more defects than those from Colombia. Based on past data, Zara estimates that 7% of the Hong Kong jeans will be defective compared to only 2% from Colombia and Zara does not want to import any more than 5% defective items. However, Zara does not want to rely on a single supplier, so it wants to order at least 20% from each supplier every month. A. Formulate a linear programming model for this problem. B.Solve the linear programming model graphically. Use either iso-line or corner point method. How many of each should Zara buy? C. How much will Zara pay for them? D. If the Hong Kong supplier were able to…

SEE MORE QUESTIONS

Recommended textbooks for you

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

SEE MORE TEXTBOOKS