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USPshnik [31]
2 years ago
8

You are the head of a building department . Your department is making final inspections of two types of new commercial buildings

--gas stations and restaurants . Final inspections involve the work of three separate inspectors : a plumbing inspector , an electrical inspector , and a building inspector . The plumbing inspector requires 4 hours to inspect a gas station and 2 hours to inspect a restaurant . The electrical inspector requires 2 hours to inspect a gas station and 6 hours to inspect a restaurant . The building inspector requires 4 hours to inspect a gas station and 6 hours to inspect a restaurant . Considering the time required for other duties , the plumbing inspector has 28 hours a week available for inspections ; the electrical inspector has 30 hours available and the building inspector has 36 hours available . You want to inspect as many commercial buildings as possible each week . Set up this problem as a linear programming problem .​
Mathematics
1 answer:
stira [4]2 years ago
5 0

Answer:

inspector" (and any subsequent words) was ignored because we limit queries to 32 words.

Step-by-step explanation:

hope this is correct!

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<h2><u>Requi</u><u>red</u><u> Answer</u><u> </u><u>:</u><u>-</u></h2>

Given system of linear equations are ,

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And we need to find the Solution of the linear equation . So let's Firstly number the equations .

\large{\red{\frak{ Given}}}\begin{cases} \sf x + y = 2\qquad ..........(i) \\\\\sf -3x + y = 2 \qquad ..........(ii) \\\end{cases}

<u>→</u><u> </u><u>Multipl</u><u>ying</u><u> </u><u>equⁿ</u><u> </u><u>(</u><u>i</u><u>)</u><u> </u><u>by</u><u> </u><u>3</u><u> </u><u>,</u>

=> 3 ( x + y ) = 2*3

=> 3x + 3y = 6

<u>→</u><u> </u><u>Addin</u><u>g</u><u> </u><u>the</u><u> </u><u>two</u><u> </u><u>equations </u><u>,</u><u> </u>

=> 3x + 3y -3y + y = 6 + 2

=> 4y = 8

=> y = 8/4

=> y = 2

<u>→</u><u> </u><u>Put</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>2</u><u> </u><u>in</u><u> </u><u>(</u><u>i</u><u>)</u><u> </u><u>,</u>

=> x + y = 2

=> x + 2 = 2

=> x = 2- 2

=> x = 0

<h3><u>★</u><u> </u><u>Hence</u><u> the required solution is ( 0 , 2 ) .</u></h3>
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