Concept explainers
Wholesale and retail Sales A company has three appliance stores that sell washers, dryers, and ranges. Matrices W and R give the wholesale and retail prices of these items, respectively. Matrices N and D give the quantities of these items sold by the three stores in November and December, respectively.
Determine and interpret the following matrices:
(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h)
(i)
(j)
Trending nowThis is a popular solution!
Chapter 2 Solutions
Finite Mathematics & Its Applications Plus Mylab Math With Pearson Etext -- Title-specific Access Card Package (12th Edition)
- Use a graphing calculator to help solve each problem. Beverages were sold to parents and children at a school basketball game in the quantities and prices given in the tables. Find matrices Q and P that represent the quantities and prices, find the product QP and interpret the results. Quantities Coffee Milk Cola Adult Males 217 23 319 Adult Females 347 24 340 Children 3 97 750 Price Coffee 0.75 Milk 1.00 Cola 1.25arrow_forwardAPPLICATIONS Fact-Food Sales A small fast-food chain with restaurants in Santa Monica, Lang Beach, and Anaheim sells only hamburgers, hot dogs, and milk shakes. On a certain day, sales were distributed according to the following matrix. Number of items sold Santa Monica Long Beach Anaheim Hamburgers Hot dogs Milk shakes [4000100035004003002007005009000] =A The price of each item is given by the following matrix. Hamburger Hot Dog Milk shake [0.900.801.10] =B a Calculate the product BA. b Interpret the entries in the product matrix BA.arrow_forwardNutrition A nutritionist is studying the effects of the nutrients folic acid, choline, and inositol. He has three types of food available, and each type contains the following amounts of these nutrients per ounce. (a) Find the inverse of the matrix [313424324] and use it to solve the remaining parts of this problem. (b) How many ounces of each food should the nutritionist feed his laboratory rats if he wants their daily diet to contain 10 mg of folic acid, 14 mg of choline, and 13 mg of inositol? (c) How much of each food is needed to supply 9 mg of folic acid, 12 mg of choline, and 10 mg of inositol? (d) Will any combination of these foods supply 2 mg of folic acid, 4 mg of choline, and 11 mg of inositol?arrow_forward
- Agriculture A fruit grower raises two crops, apples and peaches. The grower ships each of these crops to three different outlets. In the matrix A=12510075100175125 aij represents the number of units of crop i that the grower ships to outlet j. The matrix B=3.506.00 represents the profit per unit. Find the product BA and state what each entry of the matrix represents.arrow_forwardThe two matrices A and B are row-equivalent. A=[240171112119121213516481162] B=[120032001053000117000000] (a) Find the rank of A. (b) Find the basis for the row space of A. (c) Find the basis for the column space of A. (d) Find the basis for the null space of A. (e) Is the last column of A in the span of the first three columns of A? (f) Are the first three column s of A linearly independent? (g) Is the last column of A in the span of columns 1, 3, and 4? (h) Are the columns 1, 3, and 4 linearly dependent?arrow_forward
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning