A company produces individual resistors and transistors as well as computer chips. Each set of resistors...

A company produces individual resistors and transistors as well as computer chips. Each set of resistors requires 2 units of copper, 2 units of zinc, and 1 unit of glass to manufacture. Each set of transistors requires 3 units of copper, 3 units of zinc and 2 units of glass. Each set of computer chips requires 2 units of copper, 1 unit of zinc, and 3 units of glass. If there are 150 units of copper, 110 units of zinc, and 160 units of glass available, how many sets of resistors, transistors, and computer chips should the company manufacture to use all of its available supplies or raw materials? how many resistors, transistors and computer chips?

Solutions

Expert Solution

Let, the numbet of sets of resistor is x

Let, the numbet of sets of transistor is y

Let, the numbet of sets of computer chips is z

Amount of copper in resistor, transistor and computer chips is 2x, 3y and 2z

Total amount of available copper is

Amount of zinc in resistor, transistor and computer chips is 2x, 3y and z

Amount of glass in resistor, transistor and computer chips is x, 2y and 3z

The above can be written in augmented matrix form as

Find the reduced row echelon form

Write the above in equation form

The number of sets of resistors is 20

The number of sets of transistors is 10

The number of sets of computer chips is 40

milcah answered 1 year ago

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