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Nimfa-mama [501]
2 years ago
13

David wants to hang a mirror in his room. The mirror and frame must have an area of 8 square feet. The mirror is 2 feet wide and

3 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?
Mathematics
1 answer:
hoa [83]2 years ago
8 0

Answer:

4x^2+10x-2=0

Step-by-step explanation:

So the total area of mirror: 2*3 = 6 ft sq

8-6 = 2 ft sq is the area of the frame

x is the thickness of the frame

so we have (2*x)*2+(3*x)*2+x*x*4= 2

4x+6x+4x^2=2

-> 4x^2+10x-2=0

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The maximum revenue of the craftsman is an illustration of objective function

The craftsman can at most make $500, if he makes 100 bracelets

<h3>How to determine the maximum revenue?</h3>

Represent bracelet with b and necklace with n.

From the question, we have:

                 b              n        Total

Unit           10          20        1000

Time         10           40        1600

Cost         5           7.5

So, we have the objective function to be:

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n ≥ 0

From the given graph of the constraints, we have the following feasible points

(b,n) = (0,0) (40,30) (0,50) and (100,0)

Substitute these values in the objective function

C(0,0) = 5(0) + 7.5(0) = 0

C(40,30) = 5(40) + 7.5(30) = 425

C(0,50) = 5(0) + 7.5(50) = 375

C(100,0) = 5(100) + 7.5(0) = 500

The maximum revenue is at the point (100,0)

Hence, the craftsman can at most make $500, if he makes 100 bracelets

Read more about objective functions at:

brainly.com/question/16826001

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