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Business Case Problems-Linear Algebra-Assignment, Exercises of Linear Algebra

Institute of Mathematics and ApplicationsLinear Algebra

This course includes introduction and operation on matrices, Cramer rule, eigen values and eigen vector, complex matrices, LU factorization, linear system, vector operations, least square curves. This assignment includes: Business, Case, Problems, Flash, Unit, Matrix, Store, Recipe, Ingredients, Labels, Cost, Camera

Typology: Exercises

2011/2012

Uploaded on 08/07/2012

dharm
dharm 🇮🇳

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Exercise
7.1(ErwinKreyzic):Q1‐Q14
7.2(ErwinKreyzic):Q1‐Q14,Q27
Questions:
1. AphotographybusinesshasastoreinthethreecitiesNewYork,DenverandLosAngeles.A
particularmakeofcameraisavailableinautomatic,semiautomaticandnonautomaticmodels.
Moreover,eachcamerahasamatchedflashunitandacameraisusuallysoldtogetherwiththe
correspondingflashunit.Thesellingpricesofthecamerasandflashunitsaregiven(indollars)
bythematrix
UnitsFlash
Cameras
automatic
Non
automatic
Semi
Automatic
254050
120150200
Thenumberofsets(cameraandflashunit)availableateachstoreisgivenbythematrix
icNonautomat
icSemautomat
Automatic
Angeles
Los
DenverYork
New
250320120
210250300
100180220
(a) WhatisthetotalpriceofthecamerasinNewYork?
(b) WhatisthetotalpriceoftheflashunitsinLosAngeles?
2. (a):Wehavethreerecipesforteaserving.Theingredientsare
Cake:2cupflour,2eggsand1cupmilk
Biscuits:3cupflourand2cupmilk
Doughnut:2cupflour,1egg,1cupmilkand2spoonvegetableoil.
Makeamatrixandattachlabels.
(b):IfflourcostsRs.17percupandcontains510cal/cup,eggscostsRs.8eachandcontains70caleach,
milkcostsRs.13percupandcontains90cal/cup,oilcostsRs.4perspoonandcontains120cal/spoon.
Constructamatrixandattachlabels.
(c):Findthematrixthatshowsthecostandcaloriesforeachrecipeandattachlabels.
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Exercise

7.1(Erwin Kreyzic): Q1‐Q

7.2(Erwin Kreyzic): Q1‐Q14, Q 27

Questions:

1. A photography business has a store in the three cities New York, Denver and Los Angeles. A particular make of camera is available in automatic, semiautomatic and nonautomatic models. Moreover, each camera has a matched flash unit and a camera is usually sold together with the corresponding flash unit. The selling prices of the cameras and flash units are given (in dollars) by the matrix

Flash Units

Cameras

automatic

Non

automatic

Semi

Automatic

The number of sets (camera and flash unit) available at each store is given by the matrix

Nonautomat ic

Semautomatic

Automatic

Angeles

Los

York Denver

New

(a) What is the total price of the cameras in New York? (b) What is the total price of the flash units in Los Angeles?

2. (a) : We have three recipes for tea serving. The ingredients are Cake: 2 cup flour, 2 eggs and 1 cup milk Biscuits: 3 cup flour and 2 cup milk Doughnut: 2 cup flour, 1 egg, 1 cup milk and 2 spoon vegetable oil. Make a matrix and attach labels. (b): If flour costs Rs. 17 per cup and contains 510 cal/cup, eggs costs Rs. 8 each and contains 70 cal each, milk costs Rs. 13 per cup and contains 90 cal/cup, oil costs Rs. 4 per spoon and contains 120 cal/spoon. Construct a matrix and attach labels. (c): Find the matrix that shows the cost and calories for each recipe and attach labels.

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