Question

3. An electrical engineer supervises the production of three types of electrical components. Three kinds of material - metal, plastic and rubber - are required for production. The amounts needed to produce each component are: Plastic (g/component) Rubber (g/component) Metal (g/component) component 1 1.0 0.25 15 1.2 0.33 17 2 1.6 0.42 19 3 If totals of 2.12, 0.0434, and 0.164 kilogram of metal, plastic, and rubber, respectively are available each day, how many components can be produced per day? Solve 3 or 4 using any direct method or any iterative method for linear systems with convergence parameter & = 0.001

numerical methods

Answer 1

Components Metal Plastic Rubber 1 15 0.3 1 2 17 0.4 1.2 1.5 3 19 0.55 Availability 95 3890 282

Refer the above table x is the number of component 1 produced x is the number of component 2 produced x3 is the number of component 3 produced The equation will be 15x17x19x = 3890 0.3х, + 0.4х, +0.55х, %3D95 12x x= 282 (1) (2) (3) Write in matrix form Ах 3Db 3890 [15 19 17 0.552 0.3 0.4 95 1 1.2 1.5 282 Ха Use mat lab to determine the number of components A=[15 17 19,0.30 0.40 0.55;1.0 1.2 1.5]' 'b=[3890; 95;282]' 'disp ('componentl',component2','component3])' 'disp ((A\b)) Result Component 1 90 Component 2 60 Component 3 80