Laura is planning to buy three 5-lb bags of sugar, two 5-lb bags of flour, three 1-gal cartons of milk, and two 1-dozen cartons of large eggs. The prices of these items in three neighborhood supermarketsare as follows.A =B =Supermarket ISupermarket IISupermarket III(a) Write a 3 × 4 matrix A to represent the prices (in dollars) of the items in the three supermarkets.↓ 1C =Sugar(5-lb bag)$3.15$2.99$3.74↓ 1Flour(5-lb bag)$3.79$2.89$2.98↓ 1Milk(1-galcarton)$2.99(b) Write a 4 x 1 matrix B to represent the quantities of sugar, flour, milk, and eggs that Laura plans to purchase in the three supermarkets.Eggs(1-dozencarton)$3.49$3.29$2.99$2.79$2.89(c) Use matrix multiplication to find a matrix C that represents Laura's total outlay (in dollars) at each supermarket.

It is given that Laura wants to buy three 5-lb bags of sugar, two, 5-lb bags of flour, three 1-gal…

Answered: Laura is planning to buy three 5-lb…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Two departments of a firm, A and B, need differing amounts of steel, wood, and plastic. The table on the right gives the amount of each product the departments need. These three products are supplied by two suppliers, Company C and Company D, with the unit prices given in the table on the right. C a. Use matrix multiplication to determine how much these orders will cost each department at each of the two suppliers. Enter the amounts into the cost matrix shown on the right. Dept. A Dept. B Department A Department B Steel Wood Plastic Co. C Company C 580 280 280 Co. D Company D — 570 180 380 Steel 70 60 Wood 60 40 Plastic 40 60

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