document.write( "Question 1037116: A garden supplier provides live plants for displays in 5 penthouse patios, 7 office foyers, 3
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document.write( "banks and 4 hotels. The plants in each different type of display are listed below
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document.write( "The patio displays consist of 2 ferns, 1 camellia, 1 geranium and 2 hanging baskets.
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document.write( "The office foyer displays have 1 palm, 1 geranium, 3 hanging baskets and 2 indoor
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document.write( "plants.
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document.write( "The bank displays have 1 palm, 3 camellias and 5 indoor plants.
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document.write( "The hotel displays have 2 palms, 3 ferns, 2 camellias, 2 hanging baskets and 5 indoor
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document.write( "plants.
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document.write( "The wholesale cost of each plant bought by the supplier is: ferns $22, palms $18, geraniums
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document.write( "$8, camellias $15, hanging baskets $12 and a variety of indoor plants that cost $10 on average
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document.write( "The supplier needs to be able to use this information to calculate costs of displays, number of
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document.write( "plants required and profits, but in this form, the information is difficult to handle.
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document.write( "a. Develop matrices to display the following information (labels outside the matrices will help
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document.write( "clarify the meaning of the elements):
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document.write( "i. the number of displays supplied to each type of venue
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document.write( "ii_ the number and variety of plants used in each display
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document.write( "iii. the cost of each type of plant.
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document.write( "b. Use matrix operations to determine the following:
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document.write( "i. the quantities of each plant needed to fill the orders
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document.write( "ii_ the supplier's total outlay to provide the displays
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document.write( "iii. the charge for each type of display if the supplier adds 80% profit to the cost. \n" );
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