Question

Utilizing matrix inverse: An electronics company produces transistors, resistors, and computer chips Each of these components requires units of three different materials; copper, zinc, and glass as summarized in the following table Glass Component Transistors Resistors Computer chips Copper Linc Supplies of these materials vary from week to week, so the company needs to determine a different production run each week. For example, one week the total amounts of materials available are 960 units of copper. 510 units of zinc, and 610 units of glass (a) Setup a system of equations modeling the production run (b) Use MATLAB (or any calculator) to determine the matrix inverse of the system. [Hint: in MATLAB you can use the command inv (A)] (c) Use the inverse to calculate the number of transistors, resistors, and computer chips to be manufactured this week. (d) Without resolving the system, answer the following questions (i) If it is desired to increase the number of transistors produced by 25 units, how much should be the glass supply? (ii) If the company managed to find additional 100 copper units and 100 zinc units in the market, how many more computer chips can the company produce then?

Answer 1

Tronsist - T Compud chipsC total CofPeY 60 Resistor- totul 2in1 = S10 432 2

o. 42105 3 3 20 8s -О 26T58 0. 105 263 0.433 6ốy nd rom Caltulatoy 12 0 total loTR3c