An electronics company produces transistors, resistors, and computer chips. each transistor requires 3 units of copper, 1 unit of zinc, and 2 units of glass. each resistor requires 3, 2, and 1 units of the three materials, and each computer chip requires 2, 1, and 2 units of these materials, respectively. how many of each product can be made with 1730 units of copper, 690 units of zinc, and 1380 units of glass? solve this exercise by using the inverse of the coefficient matrix to solve a system of equations.

An electronics company can be produce 350 transistors and 340 computer chips, they can´t produce resistors.

Step-by-step explanation:

1. We will name the variables for transistors, resistors and the computer chips.

a = Transistors

b= Resistors

c = Computer chips

2. We propose three linear equations, one for the copper, one for the zinc and one for the glass.

3. We write the matrix form as Ax=d

With this formula the solution of x is or

4. We will find the inverse matrix using the formula:

a. det A

b.

c.

5. As or , the solution of x is:

Therefore:

a= 350 Transistors

b=0 Resistors

c=340 Computer chips

$450 is the answer.

step-by-step explanation:

30% of 450 = 135

450-135=315