Question

A small company manufactures three different electronic components for computer Component Arequires 2 hours of fabrication and 1 hour of assembly, component B requires 3 hound Inbrication and 1 hour of assembly, and component requires 2 hours of fabrlotion and 2 houn of assembly. The company has up to 1,150 labor hours of fabrication time and 1,000 labor hours of assembly time available per week. The profit on each component, A, B, and C, la $7, 58, and $10, respectively. How many components of each type should the company manufacture each week in order to maximize its profit (assuming that all components manufactured can be sold? What is the maximum profit? Let x1, 72, and x, be the numbers of components A, B, and respectively, that get manufactured. Construct a mathematical model in the form of a Inear programming problem. Maximize po subject to 1150 Fabrication time restriction s 1000 Assembly time restriction 11.12.1920 The company should manufacture (Simplify your answers.) component As component Bs, and component Cs to maximize their profit at $ .

Answer 1

Problem in answer then comment below.. i will help you..

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150 component A

0 component B

425 component C

Profit = $ 5300

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#5 SIMPLEX TABLE 2 X1 X2 X3 X4 X5 b t X4 2 3 2 1 0 1150 575 X5 1 1 2 0 1 1000 500 O Z -7 -8 -10 0 #6 SIMPLEX TABLE 3 X1 X2 X3 X4 X5 b t X4 1 2 0 1 -1 150 75 X3 1/2 1/2 1 0 1/2 500 1000 Z -2 -3 0 0 5 5000 #7 SIMPLEX TABLE 4 X1 X2 X₂ X4 X5 b t X2 1/2 1 0 1/2 -1/2 75 150 X3 1/4 0 1 -1/4 3/4 925/2 1850 Z -1/2 0 0 3/2 7/2 5225 #8 SIMPLEX TABLE 5 X1 X2 X3 X4 X5 b X1 1 2 0 1 -1 150 X3 0 -1/2 1 -1/2 1 425 Z 0 1 0 2 3 5300 SOLUTION x(4) = (150, 0, 425, 0, 0) z(4) = 5300