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Maximize z=3a+b+2c
Subject to: a + b+ 3c <=30, a>=0, b>=0, c>=0.
Maximize z = 3a + b + 2c
Subject to: 1. a + b + 3c <= 30
2. 2a + 2b + 5c<=  24
3. 4a + b + 2c<=  36
4. a,b,c>=  0
NB : a= Computers b= Network devices c= IP cameras
Z= Performance
-Numbers are costs.
The problem above consist of maximizing the performance of our computer network by reducing
the total cost.
The Make-It-Good manufacturing company produces three products, Widgets, Mingets, and Tringles.

During a given year they plan to produce a total of 13,000 units of these products.

The per unit production costs for Widgets, Mingets, and Tringles are $4, $5, and $7 respectively.

The per unit profit for the Widgets, Mingets, and Tringles is $1, $2, and $3 respectively.

If the production costs are to be $70,000 and the desired profit is $27,000, how many of each product should the company produce?

Set up the solution: define variables and determine the equations. Then, solve the system of equations using any valid method, and answer the question asked in the problem.
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