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14111cwir3ws.4

14111cwir3ws.4 - a it will tell us the cost of producing a...

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c ± Kendra Kilmer September 15, 2011 10. The Crazy Cat Food Company makes three types of cat food: Meow Mix, Kitty Kibbles, and Fishy Flavor. The company produces the cat food in Texas, California, and Wyoming using two main ingredients, ﬁsh and chicken. (a) Each bag of Meow Mix requires 2 ounces of ﬁsh and 3 ounces of chicken. Each bag of Kitty Kibbles requires 2 ounces of ﬁsh and 2 ounces of chicken. Each bag of Fishy Flavor requires 3 ounces of ﬁsh and 2 ounces of chicken. Put this information into a 2 × 3 matrix. (b) The cost of 1 ounce of ﬁsh is \$0 . 75 in Texas, \$0 . 50 in California and \$1 in Wyoming. The cost of 1 ounce of chicken is \$0 . 25 in Texas, \$1 . 00 in California and \$0 . 75 in Wyoming. Put this information into a matrix in such a way that when it is multiplied by the matrix in part
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Unformatted text preview: a) it will tell us the cost of producing a bag of each variety of cat food in each city. Find the resulting product matrix. 11. Determine whether each of the following statments is True or False. (a) It is possible for a 3 × 4 matrix to have an inverse. (b) If a matrix has an inverse, then we say the matrix is nonsingular. (c) In solving the matrix equation AX = B which represents a system of linear equations, if the matrix A is singular, we can conclude that the system of linear equations has no solution. (d) A matrix multiplied by the appropriate identity matrix results in the original matrix. 12. Solve the following system of linear equations using inverses. 3 x-8 y + 9 z = 7 2 x + 3 y-z =-2 x-2 y + 4 z = 3 4...
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