A furniture maker makes three different style of wardrobes: x, x, and x,. The manufacture of each style of wardrobe requires a certain amount of time in three types of skilled labor: cutting, assembling and painting. Model x, requires 1 hour for the cutting of component parts, 2 hours for assembling and 4 hours for painting. Model x, requires 2 hours for cutting, 4 hours for assembling and painting, respectively. While model x, needs 3, 7 and 5 hours for cutting, assembling and painting accordingly. Currently, 200 cutting hours of component parts, 300 assembling hours and 150 painting hours are available. Determine the product mix that will maximize the furniture maker's revenue if a model x, sells for $20, a painted model x, sells for $30, an unpainted model x, sells for $20 and a model x, sells for $50. (a) Formulate a linear programming model for this problem. (b) Find the optimal solution by using simplex algorithm.

A furniture maker makes three different style of wardrobes: x, x, and x,. The manufacture of each style of wardrobe requires a certain amount of time in three types of skilled labor: cutting, assembling and painting. Model x, requires 1 hour for the cutting of component parts, 2 hours for assembling and 4 hours for painting. Model x, requires 2 hours for cutting, 4 hours for assembling and painting, respectively. While model x, needs 3, 7 and 5 hours for cutting, assembling and painting accordingly. Currently, 200 cutting hours of component parts, 300 assembling hours and 150 painting hours are available. Determine the product mix that will maximize the furniture maker's revenue if a model x, sells for $20, a painted model x, sells for $30, an unpainted model x, sells for $20 and a model x, sells for $50. (a) Formulate a linear programming model for this problem. (b) Find the optimal solution by using simplex algorithm.

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter11: Systems Of Equations

Section11.CT: Test

Problem 24CT

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Similar questions

Suppose the coal and steel industries form a closed economy. Every $1 produced by the coal industry requires $0.30 of coal and $0.70 of steel. Every $1 produced by steel requires $0.80 of coal and $0.20 of steel. Find the annual production (output) of coal and steel if the total annual production is $20 million.
23. Consider a simple economy with just two industries: farming and manufacturing. Farming consumes 1/2 of the food and 1/3 of the manufactured goods. Manufacturing consumes 1/2 of the food and 2/3 of the manufactured goods. Assuming the economy is closed and in equilibrium, find the relative outputs of the farming and manufacturing industries.

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