AIRLINE FLIGHT SCHEDULING Pacific Airlines operates three flights between Los Angeles and Hong Kong. Matrix
The fares per passenger (in dollars) for each class of seats are given by the matrix
The number of each type of flight operate by Pacific Airline in June is given by matrix
a. Compute
b. Compute
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Chapter 2 Solutions
Finite Mathematics for the Managerial, Life, and Social Sciences
- APPLICATIONS 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_forwardA factory manufactures three products (doohickies, gizmos, and widgets) and ships them to two warehouses for storage. The number of units of each product shipped to each warehouse is given by the matrix A=[20015010075100125] (where aij is the number of units of product i sent to warehouse j and the products are taken in alphabetical order). The cost of shipping one unit of each product by truck is $1.50 per doohickey, $1.00 per gizmo, and $2.00 per widget. The corresponding unit costs to ship by train are $1.75, $1.50, and $1.00. Organize these costs into a matrix B and then use matrix multiplication to show how the factory can compare the cost of shipping its products to each of the two warehouses by truck and by train.arrow_forwardDetermine whether the matrix is in row-echelon form. If it is, determine whether it is in reduced row-echelon form. 1024011130000arrow_forward
- Determine the dimension of the matrix 14710238.arrow_forwardAgriculture 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_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
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