At one company a level 1 engineer receives a salary of $45,000 and a level 2 receives a salary of $65,000. the company has a budget of $785,000 to pay for both levels. also, they can afford to hire 13 engineers from level 1 and level 2. how many engineers should be hired for each level ?

Company will hire 3 Engineers of Level 1 and 10 Engineers of level 2.

Step-by-step explanation:

Let the number of engineers for level 1 be x.

Let the number of engineers for level 2 be y.

Given:

Total Number of engineers company can hire = 13

Now Total number of engineers are equal to sum of number of engineers for level 1 and number of engineers for level 2.

Hence Framing in the equation form we get;

Also Given:

Salary of level 1 engineers = $45,000

Salary of level 2 engineers = $65,000

Total Budget of Company = $785,000

But Total Budget of Company depends upon the sum of Salary of level 1 engineers multiplied with number of level 1 engineers and Salary of level 2 engineers multiplied with number of level 2 engineers.

Hence equation can be framed as;

Dividing by 5000 on both side we get;

Now Multiplying equation 1 by 9 we get;

Now Subtracting equation 3 from equation 2 we get;

Now Substituting the value of y in equation 1 we get

Hence Company will hire 3 Engineers of Level 1 and 10 Engineers of level 2.

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step-by-step explanation:

graph them on a graphing calculator, press 2nd trace. select intersect. hit enter until it says answer. ti 84 works best

step-by-step explanation: