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b) A furniture factory makes wooden tables, chairs, and armoires. Each piece of furniture requires three operations: cutting the wood, assembling, and finishing. Each operation requires the mumber of hours (h) given in Table 3 below. The workers in the factory can provide 300 hours of cutting, 400 hours of assembling, and 590 hours of finishing each work week. How many tables, chairs, and armoires should be produced so that all available labor-hours are used? Or is this impossible? Table Chair Armoire 1 Cutting (h) Assembling (h) Finishing (h) 1 1 Table 3: Mamfacturing Furniture

b) A furniture factory makes wooden tables, chairs, and armoires. Each piece of furniture requires three operations: cutting the wood, assembling, and finishing. Each operation requires the mumber of hours (h) given in Table 3 below. The workers in the factory can provide 300 hours of cutting, 400 hours of assembling, and 590 hours of finishing each work week. How many tables, chairs, and armoires should be produced so that all available labor-hours are used? Or is this impossible? Table Chair Armoire 1 Cutting (h) Assembling (h) Finishing (h) 1 1 Table 3: Mamfacturing Furniture

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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a) A specialty-car manufacturer has plants in Windhoek, Otjiwarongo, and Ongwediva. Three models are produced, with daily production given in Table 1. Cars produced Ford Mazda Toyota Windhoek 12 10 Ongwediva Otjiwarongo 20 8 12 Table 1: Daily production Because of a wage increase, February profits are lower than Jamuary profits. The profit per car is tabulated by model as shown in Table 2. January February S1000 Ford $500 $1000 Mazda $2000 Toyota $1500 $1200 Table 2: Profit per car i) Assuming that all cars produced were sold, giving your answer in tabular form; caleulate the daily profits from each plant for both January and February? [Hint: Represent the given informations in matrices and perform matrix multiplication] ii) What was the daily profit in January from the Windhoek plant? i) What was the total daily profit (from all three plants) in February? b) A furniture factory makes wooden tables, chairs, and armoires. Each piece of furniture requires three operations: cutting the wood, assembling, and finishing. Each operation requires the number of hours (h) given in Table 3 below. The workers in the factory can provide 300 hours of cutting, 400 hours of assembling, and 590 hours of finishing each work week. How many tables, chairs, and armoires should be produced so that all available labor-hours are used? Or is this impossible? Table Chair Armoire Cutting (h) Assembling (h) Finishing (h) 1 1 13 1 2 Table 3: Manufacturing Furniture
Transcribed Image Text:a) A specialty-car manufacturer has plants in Windhoek, Otjiwarongo, and Ongwediva. Three models are produced, with daily production given in Table 1. Cars produced Ford Mazda Toyota Windhoek 12 10 Ongwediva Otjiwarongo 20 8 12 Table 1: Daily production Because of a wage increase, February profits are lower than Jamuary profits. The profit per car is tabulated by model as shown in Table 2. January February S1000 Ford $500 $1000 Mazda $2000 Toyota $1500 $1200 Table 2: Profit per car i) Assuming that all cars produced were sold, giving your answer in tabular form; caleulate the daily profits from each plant for both January and February? [Hint: Represent the given informations in matrices and perform matrix multiplication] ii) What was the daily profit in January from the Windhoek plant? i) What was the total daily profit (from all three plants) in February? b) A furniture factory makes wooden tables, chairs, and armoires. Each piece of furniture requires three operations: cutting the wood, assembling, and finishing. Each operation requires the number of hours (h) given in Table 3 below. The workers in the factory can provide 300 hours of cutting, 400 hours of assembling, and 590 hours of finishing each work week. How many tables, chairs, and armoires should be produced so that all available labor-hours are used? Or is this impossible? Table Chair Armoire Cutting (h) Assembling (h) Finishing (h) 1 1 13 1 2 Table 3: Manufacturing Furniture
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