Question: 1.A certain product has supply and demand functions given by p=6q+22and p=242-5q, respectively, where p is the price in dollars and q is the quantity

1.A certain product has supply and demand functions given by p=6q+22and p=242-5q, respectively, where p is the price in dollars and q is the quantity supplied or demanded at price p. What price gives market equilibrium?

2.Using the formula to find Fahrenheit (F) in terms of Celsius (C),F=(9/5)C+32,find the range (to the nearest tenth) of the Fahrenheit temperature when the range of the Celsius temperature is between2Cand10C, inclusive.

3.The manager of big box store has found that if the price of a pillow is p(x)=70-(x/8)then x pillows will be sold. The expression for the total revenue from the sale of x pillows is R(x)=70x-(x^2/8). Find the number of pillows that will produce maximum revenue.

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