8 One bag of "Fertilizer A" contains 2 units of phosphorus, 5 units of nitrogen, and 3 units ofpotassium. One bag of "Fertilizer B" contains 3 units of phosphorus, 4 units of nitrogen, and 6units of potassium. One bag of "Fertilizer C" contains 5 units of phosphorus, 3 units of nitrogen,and 4 units of potassium. A gardener needs to apply at least 75 units of phosphorus, at least 95units of nitrogen, and at least 80 units of potassium. The price of one bag is $6 for Fertilizer A,$5 for Fertilizer B, and $8 for Fertilizer C. ni(a) formulate the problem and use the simplex method to determine how many bags of eachfertilizer the gardener should purchase in order to meet the above requirements for the lowestpossible price; note that the answers must be positive integersniurminimize P=6x +54 +8₂subject to: 2x +34 15₂2 15+5x + 4y +32 = 953x +by +4₂2 80Teeneinlal ribu 2Write the answer in the box below(b) what is that minimum total price?uisi leevetni launnsWrite the answer in the box belowP=131(6) sq ni of barstentowans will elity Desovods show world10252 is no themys Virtnomalar OMwolod xod-at-ni-sluen will ex(c) if all fertilizer is used and applied to the soil in the garden, then will excess amounts of any.one of the essential substances (phosphorus, nitrogen, potassium) be applied? if so, whichone(s) and in what amount(s)?woled xod bril ni

Min Z = 6 x1 + 5 x2 + 8 x3 subject to 2 x1 + 3 x2 + 5 x3 ≥ 75 5 x1 + 4 x2 + 3 x3…

Answered: 8 One bag of "Fertilizer A" contains 2…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A dietician is planning a snack package of fruit and nuts. Each ounce of fruit will supply 1 unit of protein, 2 units of carbohydrates, and 1 unit of fat. Each ounce of nuts will supply 1 unit of protein, 1 unit of carbohydrates, and 1 unit of fat. Every package must provide at least 8 units of protein, at least 12 units of carbohydrates, and no more than 11 units of fat. Let x equal the ounces of fruit and y equal the ounces of nuts to be used in each package. a. Write a system of inequalities to express the conditions of the problem. b. Graph the feasible region of the system. a. Fill in the chart. Protein Carbohydrates Fat Fruit unit(s) per ounce unit(s) per ounce unit(s) per ounce Nuts unit(s) per ounce unit(s) per ounce unit(s) per ounce .. Requirements per package At least At least No more than unit(s) unit(s) unit(s)
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One and one-half Ounces of medication are required for a 180-pound adult. At the same rate, how many additional ounces of medication are required for a 270 -pound Adult? additional Ounces VOELEKTea ev 033 202 гэтои ум V2K AONE L Tus uniuSCO b&EAION? VI&MEV WA MOLEZ V2K AONE LEVCH
Bottled water and medical supplies are to be shipped to survivors ofan earthquake by plane. Each container of bottled water will serve 10 people and eachmedical kit will aid 6 people. Each plane can carry no more than 80,000 pounds. The bottledwater weighs 20 pounds per container and each medical kit weighs 10 pounds. Each planecan carry a total volume of supplies that does not exceed 6000 cubic feet. Each waterbottle is 1 cubic foot and each medical kit also has a volume of 1 cubic foot. Thus, the maximum value of z is 36000 and this occurs when x = 0and y = 6000.In practical terms, this means that the maximum number of earthquake survivors whocan be helped with each plane shipment is 36000. This can be accomplished bysending 6000 medical kits.A) TrueB) False

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