A kitchen table is being sold at a furniture store. These are the cost and revenue functions associated with the tables, where x
represents the selling price of a single table:
R(X) = -0.68x2 + 310x
C(x) = 43.6x + 36,176
Which two points represent breakeven for table sales?
(0, 36,176)
(140, 30,072)
(227, 35,330)
(260, 9,792)
(380, 19,608)
Answers
Answer:
(140, 30,072) and (380, 19608).
Step-by-step explanation:
We are given that the revenue function for selling the kitchen table given its price is:
[tex]R(x)=-0.68x^2+310x[/tex]
And the cost function is:
[tex]C(x)=-43.6x+36176[/tex]
At the breakeven point, the revenue equals the cost. Therefore:
[tex]R(x)=C(x)[/tex]
Substitute:
[tex]-0.68x^2+310x=-43.6x+36176[/tex]
We can solve for x.
Adding 0.68x² to both sides and subtracting 310x from both sides yields:
[tex]0.68x^2-353.6x+36176=0[/tex]
We can use the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = 0.68, b = -353.6, and c = 36176. Substitute:
[tex]\displaystyle x=\frac{-(-353.6)\pm\sqrt{(-353.6)^2-4(0.68)(36176)}}{2(0.68)}[/tex]
Simplify:
[tex]\displaystyle x=\frac{353.6\pm\sqrt{26684.24}}{1.36}[/tex]
So, our two solutions are:
[tex]\displaystyle x=\frac{353.6+\sqrt{26684.24}}{1.36}\text{ or } x=\frac{353.6-\sqrt{26684.24}}{1.36}[/tex]
Use a calculator:
[tex]x\approx 380\text{ or } x\approx 140[/tex]
Our answers are:
(140, 30,072) and (380, 19608).
Answer:
(140, 30,072) and (380, 19608)
Step-by-step explanation:
i got it right
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Given the expression
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E
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Answers
Complete question :
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Answers
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Step-by-step explanation:
Answer:
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D. Yes, 1/6
Answers
Step-by-step explanation:
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Here,
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Comparing equation (1) and (2)
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xulxlydlysktstaj4a4uajtajrajra
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Step-by-step explanation:
In your solving toolbox (along with your pen, paper and calculator) you have these 3 equations:
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Law of Sines (the Sine Rule): When there is an angle opposite a side, this equation comes to the rescue. ...
Law of Cosines (the Cosine Rule):