Bunuel wrote:

A candle company determines that, for a certain specialty candle, the supply function is \(p = m_1*x + b_1\) and the demand function is \(p = m_2*x + b_2\), where p is the price of each candle, x is the number of candles supplied or demanded, and \(m_1\), \(m_2\), \(b_1\), and \(b_2\) are constants. At what value of x do the graphs of the supply function and demand function intersect?

(1) \(m_1 = -m_2 = 0.005\)

(2) \(b_2 – b_1 = 6\)

supply function is \(p = m_1*x + b_1\)

demand function is \(p = m_2*x + b_2\)

At the point of intersection , the lines will have same value of p . Therefore , we can set the equations equal to each other .

\(m_1*x + b_1 = m_2*x + b_2\)

(1) \(m_1 = -m_2 = 0.005\)

Not sufficient as we have no information about \(b_1\) and \(b_2\)

(2) \(b_2 – b_1 = 6\)

Not sufficient as we have no information about \(m_1\) and \(m_2\)

Combining 1 and 2 ,we get

Sufficient

Answer C

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