A cordless screwdriver is sold through a national chain of discount stores. A marketing company established price–demand and price–supply tables (Tables 2 and 3), where x is the number of screwdrivers people are willing to buy and the store is willing to sell each month at a price of p dollars per screwdriver. 

(A) Find a logarithmic regression model (y = a + b ln x) for the data in Table 2. Estimate the demand (to the nearest unit) at a price level of $50.

(B) Find a logarithmic regression model (y = a + b ln x) for the data in Table 3. Estimate the supply (to the nearest unit) at a price level of $50.

(C) Does a price level of $50 represent a stable condition, or is the price likely to increase or decrease? Explain.

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Table 2 Price-Demand p = D(x)($) %3D 1,000 91 2,000 73 3,000 64 4,000 56 5,000 53