SOLUTION: Set up and solve the system of linear equations using matrices. Safetymax.com sells first aid and emergency preparedness supplies to businesses. A company that assembles first

Question 1030008: Set up and solve the system of linear equations using matrices.
Safetymax.com sells first aid and emergency preparedness supplies to businesses. A company that assembles first aid kits for consumers purchases 2900 1-inch by 3-inch plastic adhesive bandages, 1440 alcohol wipes, and 160 tubes of antibiotic ointment from Safetymax.com.
The company assembles compact, standard, and deluxe first aid kits for sale to consumers. A compact first aid kit contains 20 plastic adhesive bandages, 8 alcohol wipes, and 1 tube of antibiotic ointment. A standard first aid kit contains 40 plastic adhesive bandages, 20 alcohol wipes, and 2 tubes of antibiotic ointment. A deluxe first aid kit contains 50 plastic adhesive bandages, 28 alcohol wipes, and 4 tubes of antibiotic ointment.
How many of each type of kit should the company assemble to use up all of the bandages, wipes, and antibiotics ordered?

compact _____
standard _____
deluxe _____

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let be the number of compact kits, standard kits, deluxe kits.
,
,
A(20,8,1)+B(40,20,2)+C(50,28,4)=(2900,1440,160)
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,

1.
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2.
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3.
In matrix form,

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Using Cramer's rule,

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