Question 1037074: A garden supplier provides live plants for displays in 5 penthouse patios, 7 office foyers, 3
banks and 4 hotels. The plants in each different type of display are listed below
The patio displays consist of 2 ferns, 1 camellia, 1 geranium and 2 hanging baskets.
The office foyer displays have 1 palm, 1 geranium, 3 hanging baskets and 2 indoor
plants.
The bank displays have 1 palm, 3 camellias and 5 indoor plants.
The hotel displays have 2 palms, 3 ferns, 2 camellias, 2 hanging baskets and 5 indoor
plants.
The wholesale cost of each plant bought by the supplier is: ferns $22, palms $18, geraniums
$8, camellias $15, hanging baskets $12 and a variety of indoor plants that cost $10 on average
The supplier needs to be able to use this information to calculate costs of displays, number of
plants required and profits, but in this form, the information is difficult to handle.
a. Develop matrices to display the following information (labels outside the matrices will help
clarify the meaning of the elements):
i. the number of displays supplied to each type of venue
ii_ the number and variety of plants used in each display
iii. the cost of each type of plant.
b. Use matrix operations to determine the following:
i. the quantities of each plant needed to fill the orders
ii_ the supplier's total outlay to provide the displays
iii. the charge for each type of display if the supplier adds 80% profit to the cost.
Answer by ikleyn(52781)   (Show Source):
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