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DiKsa [7]
4 years ago
5

The Cool Company determines that the supply function for its basic air conditioning unit is S(p) = 40 + 0.008p^3 and that its de

mand function is D(p) = 200 - 0.16p^2, where p is the price. Determine the price for which the supply equals the demand.
Mathematics
1 answer:
KATRIN_1 [288]4 years ago
4 0
In this item, we are to determine the price to which there would be a breakeven between the supply and demand. This can be done by equating the equations given for each as shown below.
       S(p) = D(p)
     40 + 0.008p³ = 200 - 0.16p²

We transpose all the terms to left side of the equation. 
     0.008p³ + 0.16p² - 160 = 0
Then, we factor out the given function. This can either be done through long division or synthetic division. Divide the equation by 0.008.
        p³ + 20p² - 20000 = 0

One of the roots of the equation is 21.86. This is the only real root of the equation and the rest are imaginary. 

Hence, the price should be approximately <em>$21.86</em> before the demand and supply is breakeven. 
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6 0
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uranmaximum [27]

Answer:

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Step-by-step explanation:

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4 years ago
Read 2 more answers
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